From ffa330f9e42c20061736315c9bc4aedeaf9e548f Mon Sep 17 00:00:00 2001 From: Martin Bauer <martin.bauer@fau.de> Date: Thu, 28 Nov 2019 20:13:17 +0100 Subject: [PATCH] Orthogonal MRT - "mrt" now takes relaxation rates [shear, bulk, 3rd order, 4th order..] - deprecated "mrt3": use orthogonalized mrt now - fixed wrong test --- .../03_tutorial_lbm_formulation.ipynb | 374 ++++++++++++++++-- doc/notebooks/demo_thermalized_lbm.ipynb | 21 +- lbmpy/creationfunctions.py | 25 +- lbmpy/methods/creationfunctions.py | 34 +- lbmpy/relaxationrates.py | 25 +- lbmpy_tests/benchmark/test_benchmark.py | 8 +- .../test_momentbased_methods_equilibrium.py | 30 +- lbmpy_tests/test_relaxation_rate.py | 8 +- lbmpy_tests/test_serial_scenarios.py | 2 +- lbmpy_tests/test_split_optimization.py | 10 +- 10 files changed, 420 insertions(+), 117 deletions(-) diff --git a/doc/notebooks/03_tutorial_lbm_formulation.ipynb b/doc/notebooks/03_tutorial_lbm_formulation.ipynb index 2916bdc..4741984 100644 --- a/doc/notebooks/03_tutorial_lbm_formulation.ipynb +++ b/doc/notebooks/03_tutorial_lbm_formulation.ipynb @@ -71,7 +71,8 @@ "source": [ "### Use a pre-defined method\n", "\n", - "Lets create a moment-based method in *lbmpy* and see how the moment transformation $C$ and the relaxation rates that comprise the diagonal matrix $S$ can be defined. We start with a high level function that creates a useful default MRT model:" + "Lets create a moment-based method in *lbmpy* and see how the moment transformation $C$ and the relaxation rates that comprise the diagonal matrix $S$ can be defined. We start with a function that creates a basic MRT model.\n", + "Don't use this for real simulations, there orthogonalized MRT methods should be used, as discussed in the next section." ] }, { @@ -139,7 +140,7 @@ " " ], "text/plain": [ - "<lbmpy.methods.momentbased.MomentBasedLbMethod at 0x7fafc7851b38>" + "<lbmpy.methods.momentbased.MomentBasedLbMethod at 0x7fad71541198>" ] }, "execution_count": 2, @@ -177,7 +178,7 @@ "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1\\\\0 & 0 & 0 & -1 & 1 & -1 & 1 & -1 & 1\\\\0 & 1 & -1 & 0 & 0 & 1 & 1 & -1 & -1\\\\0 & 0 & 0 & 1 & 1 & 1 & 1 & 1 & 1\\\\0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 1\\\\0 & 0 & 0 & 0 & 0 & -1 & 1 & 1 & -1\\\\0 & 0 & 0 & 0 & 0 & 1 & 1 & -1 & -1\\\\0 & 0 & 0 & 0 & 0 & -1 & 1 & -1 & 1\\\\0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1\\end{matrix}\\right]$" ], @@ -218,7 +219,7 @@ "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAucAAAAVCAYAAADlwkDzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAJVUlEQVR4Ae2dgXHdNgyG61wHyDUbeIS02SDdIOkGTTdIZ8gI7grpBk5HaDZwNmjsDVz8CunQFCkAJCSSFnWnSiJA4sdHUuFT9fwu7u/vfwi3i4uLSyr7EpaF55w99G1x3oO+HjTk2PegrQcNOT4W5T3k14MGC5a5NnrIrwcNOT4o70FfDxq2GNXYesitBw1bDHvQ14OGLUatbT3w6UHDnv3A5ZeyPwsFkcN7un4ZloXnnD30bXh+6XQ2kTAAo8ln/5ExGU/G+xPgI8xxyDOq8Zh8eXqTEc+otcfso/17gGO8sj8szmlR+Yb0vaCn5n+ndG7ZyfbB7e/peEX7ZaoNizIuFun/hDjkh3wO3VzMJENOt6VQivWS9hvan8ftTj4xkbLrERmXZfq41lbejz3rrijO5j2l13GMrCejh/tv8l5YNzK+1T6Q8XD30iPHIBer53laOw6PGoO1Okfuo7MwTs4TKkTfYRH3L85T+5Yd9Wh/4+s53xs64vWYZHul5ZpYzvd5aSxtPZd3kqFGtzau93fxP9LxysVDx2bzdz5Zu2/X6ggtiJlqz2k5ZAyl4kvLXA5DMpbmmPLT5p1qQ1OmGQ/Ot/k4noy+3+sdi+Rc14yD2Pcoxto45I9/A081BkdlFI8p7bU2b237lv5areR/unFcy9uacdgHy+KZCrCge5cTmrOjDu03cT0q+0D7dVxec62N5fyvamJq6lK8JEOtbk3MnC/FxOtJ3OIcfXdKPjlumvKRGGvy4nwleXNtbNmpfdU9xfk3H8dhTpNR+l4YMqo935ux1yeJc8Yx6PngOCqjMIeSc0neJe3uUUeilXy6WBOE+Ut0h/4tzyVaOcah3S/Ob7eSogpJO5Vf0/4xrktleKVkc3EY1+GuS2JRnVvaD3migVipHEp0p9rRlFFMdnGO9qCZ9tPx0bDM+Y7EOJdDSbk075K2UYc29T2F6jQfx2G+k1H6Xhgyqj3fm7HXJ41ztjHo+eA4KqMwh5Jzad4lbVvXkWolv1PdSy05WzH2ffCM3ul5TRdbf51lyw7bV9rj7c4VwG61lcRCXr9ZCci1wzAs0Z0LZV0++VgTXbfXA+O1qn5LSubL2RhPRv2N37ONwZIemIxKqB1bZ/bR/rw5xosdXwh9S/vyJcqMpqSdFqSrLxsm6v+UKFMXVcRCXr+qA+orNGekl7zUmHwKwSmqNWWs0NncddR5fiS4yehI2qpYc57zuCYjnlFrj9lH+/cAx3ixY3H+C+34Amduy9n9wts/JQ/r+6fpkgV8WC93Xhpr+WJqrlHD8h4YlaQz+ZRQ09VpzVintq33qPP8SGqT0ZG05bHmPOdZTUY8o9Yes4/27wGO8WLH4hwLaL+YTsni7Kk6vuyFPzngmIqFvKw+IGylMAqjOIfJJyZifz0CY/us92tx1Hm+H5F1y5PRmsneJXOe84QnI55Ra4/ZR/v3AMd4sf9IOvAk5m5DT86OBnKbf7rzX85BWV4aC+/u7PY314McemAUyBGfnoqPeyXgH6Kj+cD2lr408llMdO3YmjH+7jbyPTrvNQm+ZNR5zmdm5zEso4HGYUlvNZ/nJaIPrtOc0UhjsJHW5n105JjslPHSB1icF220YLmjxFA3tdDxZQhSvVXEyi2aqzVJGqjQLWnewudUfNAfBO1nC3CKNpoyhs5GeSsQfXOtmC/NGauTLawwMqNRxmFh15xmDBbyQbXmjEYag420Nu+jivGlrtop46UP8FoLFtB+MZ1KbsuOF9dTT6bRODbYrbaSWMhr60mTlbZeGGnzmXy0xPT+PTDWq25XY9R5fiSxyehI2rJYc57znCYjnlFrj9lH+/cAx3ixY3GOxWtqge0lbtnxa4n4MmS84enkZ/epZLG5/30Q+2muxbGCRvEhgX16b6CtF0ZB6qLTyUeEqcqpB8ZVCWgqG8ylUee5GFOvjAx0gcHWvVDMqNbRKBeNjKHmeQM+YDkUI03np3wbMU5J0ZQN1UdPlPHSB1icf6b91UbvZe20+P6L6n0lQG98fQcLf1v896jslmz4ediiTRorahwfEvCjJtnN6a3SRo13wSibZN4w+eTZWFmaM7ZKhGvHYi6NOs85Nt7eKyMLXS7H7L3QM9j7aJiLRuow87wRH7AchpGm41O+DRmn5GjKhumjJ8z4oQ/wgxY39I/i8muh8ZFsnB2P4D/Qjl+lxI4nXy8T7eDPw2Av/kVK1KWdjeVju3iX/jp3dH7F2qh+F4xIB9jjwwh+5Qs/3YacUPY+lbuzn4ZPioG2zPEcjrE2z9hfmrcbU8VzCXFpG3Wei+Zfr4yMdG3eC+Nxpb0mjYcwlsbx+h27Hu6lh/Bx81QUqzdGXk/pUTo23JiouheWavT1pFoDf+g91Tj2uZcerRm7cXO5LMjdxWpB7cVydu/HHakdPGEvXpxz7Yd2ioNXdbIfOkJfnNNWpQ2xaM8yjOPlrmt15NqNyynO5JP5QBqzKr0elXFpvr7eUWMY8UZl3CsjC13Uhsm90I+n0qNFLpLYFGfeS5l76aiMJP2/5XPUGNzSILWN2kdPiXHYB3itBRueRv+xnKX/w9nTtdalr2ig3K2Ldyn5k1qFbulWq200RpOPdGSU+43KuDzjbzVr55Im/qiMe2VkocvqXqgZBylfi1xS7cZlcwzGRNbXozJaZ6IrOWoM6lSlvUfto6fE+KEPlsU5LZjx7vglvcODJwCrjbOvKiQK3PtBVn/3PBHhe5HLA/9rBnmxm4W2kRhNPuyQqHYYlXFt4hZzSaphVMa9MrLSZXEvlI6BnJ9VLrn2ffkcg55E/jgqo3xGMstRY1CmZttr1D56SoxXfUA3Uv9qC97zvPbX8ZFsm/bYP76m+u/isr2ukQf0Stu30oaYiC2NG/tZ6Yjbja+hEVrj8ty1lS7EROxcHK7cSgcXx8KOPJGvtC2r3BATsaVxrf2s8pDoQp7IV+ILHyttiEl7MWMrHZK8oRN6hb5m92jERGxJ3D18KLZZLlv6kCNy3fIJbVa6EBOxw7Y151Y6JDGhE3olvvCx0oaYtBczkurN+VnlkWvfshycwEvaplVuiInY0rixn5WOuN09rpEn8s21Hdsv4Og3t3J/TWXJJ86c3bfT8kga31H8T5QD+ycU99DZO6PJZ49ef9zmZPyYxx5XkzFPdTLiGdV4TL48vcmIZ9TaY/bR/j3AMU7Z/wd4PfpmzgVlQgAAAABJRU5ErkJggg==\n", "text/latex": [ "$\\displaystyle \\left( \\left( 0, \\ 0\\right), \\ \\left( 0, \\ 1\\right), \\ \\left( 0, \\ -1\\right), \\ \\left( -1, \\ 0\\right), \\ \\left( 1, \\ 0\\right), \\ \\left( -1, \\ 1\\right), \\ \\left( 1, \\ 1\\right), \\ \\left( -1, \\ -1\\right), \\ \\left( 1, \\ -1\\right)\\right)$" ], @@ -232,7 +233,7 @@ }, { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "<Figure size 1152x432 with 1 Axes>" ] @@ -252,15 +253,341 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Define custom MRT method\n", + "### Orthogonal MRTs\n", + "\n", + "For a real MRT method, the moments should be orthogonalized.\n", + "One can either orthogonalize using the standard scalar product or a scalar product that is weighted with the lattice weights. If unsure, use the weighted version.\n", "\n", - "Instead of using a pre-defined method as above, in this section we are looking at lower level functions that allow for a complete specification of all method table entries:" + "The next cell shows how to get both orthogonalized MRT versions in lbmpy.\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " <table style=\"border:none; width: 100%\">\n", + " <tr style=\"border:none\">\n", + " <th style=\"border:none\" >Moment</th>\n", + " <th style=\"border:none\" >Eq. Value </th>\n", + " <th style=\"border:none\" >Relaxation Rate</th>\n", + " </tr>\n", + " <tr style=\"border:none\">\n", + " <td style=\"border:none\">$1$</td>\n", + " <td style=\"border:none\">$\\rho$</td>\n", + " <td style=\"border:none\">$0$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$x$</td>\n", + " <td style=\"border:none\">$u_{0}$</td>\n", + " <td style=\"border:none\">$0$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$y$</td>\n", + " <td style=\"border:none\">$u_{1}$</td>\n", + " <td style=\"border:none\">$0$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$x^{2} - y^{2}$</td>\n", + " <td style=\"border:none\">$u_{0}^{2} - u_{1}^{2}$</td>\n", + " <td style=\"border:none\">$\\omega_{0}$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$x y$</td>\n", + " <td style=\"border:none\">$u_{0} u_{1}$</td>\n", + " <td style=\"border:none\">$\\omega_{0}$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$3 x^{2} + 3 y^{2} - 2$</td>\n", + " <td style=\"border:none\">$3 u_{0}^{2} + 3 u_{1}^{2}$</td>\n", + " <td style=\"border:none\">$\\omega_{1}$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$3 x^{2} y - y$</td>\n", + " <td style=\"border:none\">$0$</td>\n", + " <td style=\"border:none\">$\\omega_{2}$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$3 x y^{2} - x$</td>\n", + " <td style=\"border:none\">$0$</td>\n", + " <td style=\"border:none\">$\\omega_{2}$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$9 x^{2} y^{2} - 3 x^{2} - 3 y^{2} + 1$</td>\n", + " <td style=\"border:none\">$0$</td>\n", + " <td style=\"border:none\">$\\omega_{3}$</td>\n", + " </tr>\n", + "\n", + " </table>\n", + " " + ], + "text/plain": [ + "<lbmpy.methods.momentbased.MomentBasedLbMethod at 0x7fad98775ba8>" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "weighted_ortho_mrt = create_lb_method(stencil=\"D2Q9\", method=\"mrt\", weighted=True)\n", + "weighted_ortho_mrt" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " <table style=\"border:none; width: 100%\">\n", + " <tr style=\"border:none\">\n", + " <th style=\"border:none\" >Moment</th>\n", + " <th style=\"border:none\" >Eq. Value </th>\n", + " <th style=\"border:none\" >Relaxation Rate</th>\n", + " </tr>\n", + " <tr style=\"border:none\">\n", + " <td style=\"border:none\">$1$</td>\n", + " <td style=\"border:none\">$\\rho$</td>\n", + " <td style=\"border:none\">$0$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$x$</td>\n", + " <td style=\"border:none\">$u_{0}$</td>\n", + " <td style=\"border:none\">$0$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$y$</td>\n", + " <td style=\"border:none\">$u_{1}$</td>\n", + " <td style=\"border:none\">$0$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$x^{2} - y^{2}$</td>\n", + " <td style=\"border:none\">$u_{0}^{2} - u_{1}^{2}$</td>\n", + " <td style=\"border:none\">$\\omega_{0}$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$x y$</td>\n", + " <td style=\"border:none\">$u_{0} u_{1}$</td>\n", + " <td style=\"border:none\">$\\omega_{0}$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$3 x^{2} + 3 y^{2} - 4$</td>\n", + " <td style=\"border:none\">$- 2 \\rho + 3 u_{0}^{2} + 3 u_{1}^{2}$</td>\n", + " <td style=\"border:none\">$\\omega_{1}$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$3 x^{2} y - 2 y$</td>\n", + " <td style=\"border:none\">$- u_{1}$</td>\n", + " <td style=\"border:none\">$\\omega_{2}$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$3 x y^{2} - 2 x$</td>\n", + " <td style=\"border:none\">$- u_{0}$</td>\n", + " <td style=\"border:none\">$\\omega_{2}$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$9 x^{2} y^{2} - 6 x^{2} - 6 y^{2} + 4$</td>\n", + " <td style=\"border:none\">$\\rho - 3 u_{0}^{2} - 3 u_{1}^{2}$</td>\n", + " <td style=\"border:none\">$\\omega_{3}$</td>\n", + " </tr>\n", + "\n", + " </table>\n", + " " + ], + "text/plain": [ + "<lbmpy.methods.momentbased.MomentBasedLbMethod at 0x7fad713c2e10>" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ortho_mrt = create_lb_method(stencil=\"D2Q9\", method=\"mrt\", weighted=False)\n", + "ortho_mrt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "One can check if a method is orthogonalized:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(True, True)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ortho_mrt.is_orthogonal, weighted_ortho_mrt.is_weighted_orthogonal" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Define custom MRT method\n", + "\n", + "To choose custom values for the left moment column one can pass a nested list of moments.\n", + "Moments that should be relaxed with the same paramter are grouped together.\n", + "\n", + "*lbmpy* also comes with a few templates for this list taken from literature:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/latex": [ + "$\\displaystyle \\left[ \\left[ 1\\right], \\ \\left[ x, \\ y\\right], \\ \\left[ 3 x^{2} + 3 y^{2} - 2, \\ x^{2} - y^{2}, \\ x y\\right], \\ \\left[ x \\left(3 x^{2} + 3 y^{2} - 4\\right), \\ y \\left(3 x^{2} + 3 y^{2} - 4\\right)\\right], \\ \\left[ - 15 x^{2} - 15 y^{2} + 9 \\left(x^{2} + y^{2}\\right)^{2} + 2\\right]\\right]$" + ], + "text/plain": [ + "⎡ \n", + "⎢ ⎡ 2 2 2 2 ⎤ ⎡ ⎛ 2 2 ⎞ ⎛ 2 \n", + "⎣[1], [x, y], ⎣3â‹…x + 3â‹…y - 2, x - y , xâ‹…y⎦, ⎣xâ‹…âŽ3â‹…x + 3â‹…y - 4⎠, yâ‹…âŽ3â‹…x +\n", + "\n", + " ⎡ 2 ⎤⎤\n", + " 2 ⎞⎤ ⎢ 2 2 ⎛ 2 2⎞ ⎥⎥\n", + " 3â‹…y - 4⎠⎦, ⎣- 15â‹…x - 15â‹…y + 9â‹…âŽx + y ⎠+ 2⎦⎦" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from lbmpy.methods import mrt_orthogonal_modes_literature\n", + "from lbmpy.stencils import get_stencil\n", + "from lbmpy.moments import MOMENT_SYMBOLS\n", + "\n", + "x, y, z = MOMENT_SYMBOLS\n", + "\n", + "moments = mrt_orthogonal_modes_literature(get_stencil(\"D2Q9\"), is_weighted=True, is_cumulant=False)\n", + "moments" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This nested moment list can be passed to `create_lb_method`:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " <table style=\"border:none; width: 100%\">\n", + " <tr style=\"border:none\">\n", + " <th style=\"border:none\" >Moment</th>\n", + " <th style=\"border:none\" >Eq. Value </th>\n", + " <th style=\"border:none\" >Relaxation Rate</th>\n", + " </tr>\n", + " <tr style=\"border:none\">\n", + " <td style=\"border:none\">$1$</td>\n", + " <td style=\"border:none\">$\\rho$</td>\n", + " <td style=\"border:none\">$0$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$x$</td>\n", + " <td style=\"border:none\">$u_{0}$</td>\n", + " <td style=\"border:none\">$0$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$y$</td>\n", + " <td style=\"border:none\">$u_{1}$</td>\n", + " <td style=\"border:none\">$0$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$3 x^{2} + 3 y^{2} - 2$</td>\n", + " <td style=\"border:none\">$3 u_{0}^{2} + 3 u_{1}^{2}$</td>\n", + " <td style=\"border:none\">$\\omega_{0}$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$x^{2} - y^{2}$</td>\n", + " <td style=\"border:none\">$u_{0}^{2} - u_{1}^{2}$</td>\n", + " <td style=\"border:none\">$\\omega_{0}$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$x y$</td>\n", + " <td style=\"border:none\">$u_{0} u_{1}$</td>\n", + " <td style=\"border:none\">$\\omega_{0}$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$x \\left(3 x^{2} + 3 y^{2} - 4\\right)$</td>\n", + " <td style=\"border:none\">$0$</td>\n", + " <td style=\"border:none\">$\\omega_{1}$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$y \\left(3 x^{2} + 3 y^{2} - 4\\right)$</td>\n", + " <td style=\"border:none\">$0$</td>\n", + " <td style=\"border:none\">$\\omega_{1}$</td>\n", + " </tr>\n", + "<tr style=\"border:none\">\n", + " <td style=\"border:none\">$- 15 x^{2} - 15 y^{2} + 9 \\left(x^{2} + y^{2}\\right)^{2} + 2$</td>\n", + " <td style=\"border:none\">$9 u_{0}^{2} + 9 u_{1}^{2}$</td>\n", + " <td style=\"border:none\">$\\omega_{2}$</td>\n", + " </tr>\n", + "\n", + " </table>\n", + " " + ], + "text/plain": [ + "<lbmpy.methods.momentbased.MomentBasedLbMethod at 0x7fada8392588>" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "create_lb_method(stencil=\"D2Q9\", method=\"mrt\", nested_moments=moments)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If one needs to also specify custom equilibrium moments the following approach can be used" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, "outputs": [ { "data": { @@ -322,20 +649,15 @@ " " ], "text/plain": [ - "<lbmpy.methods.momentbased.MomentBasedLbMethod at 0x7fafc73fde48>" + "<lbmpy.methods.momentbased.MomentBasedLbMethod at 0x7fad70ef8978>" ] }, - "execution_count": 5, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "from lbmpy.moments import MOMENT_SYMBOLS\n", - "from lbmpy.stencils import get_stencil\n", - "from lbmpy.methods.creationfunctions import create_generic_mrt\n", - "\n", - "x, y, z = MOMENT_SYMBOLS\n", "rho = sp.symbols(\"rho\")\n", "u = sp.symbols(\"u_:3\")\n", "omega = sp.symbols(\"omega_:4\")\n", @@ -374,7 +696,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -437,10 +759,10 @@ " " ], "text/plain": [ - "<lbmpy.methods.momentbased.MomentBasedLbMethod at 0x7fafc73ed240>" + "<lbmpy.methods.momentbased.MomentBasedLbMethod at 0x7fad70f2db00>" ] }, - "execution_count": 6, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -465,12 +787,12 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "<Figure size 1152x432 with 1 Axes>" ] @@ -498,12 +820,12 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAEwAAAAuCAYAAACCq/96AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAEMElEQVRoBe2agXEaMRBFj0wKsJMKgjsgpILYHdjpwHEHpISM0wHuwEM6AFeQsTswHdimA/KfkBTdIWc4EEjJ3M4sklY6ae9rtRKn7S2Xy6qjFQK9Xq+v3DeLx1DpM2Vh9GBlVQVgHRujAaxJiIXK12IqT528R6ajqpJ1TYTDpfBYhHhI/kJZ8mPSN/x0ZBA41e+LADpq4DFT+cgu1w6wAByAmTctLKg3QCa3MGvawTj1LDMlfhQP6jV5SwLqQnwS0cLoqTrj+JMCJhDONeBtZNCmCAfLEiia7KSiq9s5q7eJNT7TTFz9rU/Vz6XID7WZu3YqsxtBT+L3auMVNNJ8P2wEN9IHfQ0lA0wvjcUwQI0kn2rAs5qwqh5VNiZuwXpyStHPK8/4LlSPP7kTNx20bxPJsOT+nKciDUKRxhirPNMzdQOQIMk5TJ2Pmn1JxvofR+TXTqZ6tu2BK5OK+OmHskPmNfZX8Zre6JDSh8UcJlY3FXvSzOETDNk8VrKwIpdQzrIpSCf88InA8ZaFnk7vlIDRqX9Jm8c3+eUoGeCwbL+LIcrQ8yrxv5Tf+dKBMlbnTwKr6UMB0eiYzIepQ/zDnQa9UYoVYV0X4olkvDwDfhHz36xpURLXiPYOzFrFvgrSEZ2ZzJny+C9H6ILLWDl+ZVL5MF6Q5Yf/uRcbH6R0JMZPwTU/pzJKrvkrKztPpdsm/WhMdEaXGN+7PrL/l9RsAuRnKYSFGpIMpfEj/uhhq7InKX3Yti/DEmb5GhJY5B9KBAsFs1uYUaJ+cGW33cTP8ejBqQjADv7WOwxYwpLcQf3DP9oB1hLzDrAOsJYItGzeU3sOnHv9599Sp6KbJ9sl7WGz6JdNoVwywFIo8y/00Tn9lrPUAdYB1hKBls07C2sJWMoPiC2HrjfXLutujlzFbfjJxwlzp9l3SQHVFwh8eLwSQNw+uzgHvnLG7gloko1KWJLms7ADyyLBYbq4j4foltXCZF1cLgDYsQBboFDplBsw9+3fhBKVDhb65V6SA+lA6MAApy8eicdi/8nagSgZlvgqqf4gQS7Zdkm9IH7K0VBL0t8Fqo44LYLbftJA+bZBLv5CxQ2QKs22JC1g3BhxzcdXE0+q416QO8wP+DbKSv1NtG/YyKgdR5NfAdDuqJIsyCXbkgQI+76x3RDfhgUOBQLLc205Sl4LQbB9xYJcuFDhEnb6yjP20c2SbIBZ9QDLARfTuC8h5zFzPnMN9OLG97lykIZ3mQSU+OdsH0QG0efWVAJgoS9rvgiAxg6vWF3NwkIgbJ5+m5NBGbC3ptyA4WNiM/5R8oW1iqKCXLLtkkwxgMgaYOLFzC6pPJaBw7+kjaisIBcpmiQYZZd+BAqWxs4I4+B9gJ3yAFhMkEu2Y4VA2CvJUvcS5JLbh+0TtL0Eufy3FsZM4BvtjHBwTRLk8htNwFw+0rszlAAAAABJRU5ErkJggg==\n", "text/latex": [ "$\\displaystyle - \\frac{\\omega_{0} - 2}{6 \\omega_{0}}$" ], @@ -513,7 +835,7 @@ " 6⋅ω₀ " ] }, - "execution_count": 8, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -526,12 +848,12 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/latex": [ "$\\displaystyle - \\frac{1}{9} - \\frac{1}{3 \\omega_{1}} + \\frac{5}{9 \\omega_{0}}$" ], @@ -541,7 +863,7 @@ " 9 3⋅ω₠9⋅ω₀" ] }, - "execution_count": 9, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -567,7 +889,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.8" + "version": "3.6.9" } }, "nbformat": 4, diff --git a/doc/notebooks/demo_thermalized_lbm.ipynb b/doc/notebooks/demo_thermalized_lbm.ipynb index 5466eb5..3a83269 100644 --- a/doc/notebooks/demo_thermalized_lbm.ipynb +++ b/doc/notebooks/demo_thermalized_lbm.ipynb @@ -94,7 +94,7 @@ " " ], "text/plain": [ - "<lbmpy.methods.momentbased.MomentBasedLbMethod at 0x7f85c7558eb8>" + "<lbmpy.methods.momentbased.MomentBasedLbMethod at 0x7f91716d3e80>" ] }, "execution_count": 2, @@ -149,12 +149,12 @@ " </tr>\n", "<tr style=\"border:none\">\n", " <td style=\"border:none\">$x^{2}$</td>\n", - " <td style=\"border:none\">$\\frac{\\rho}{3} + u_{0}^{2}$</td>\n", + " <td style=\"border:none\">$0.001 rand_{0} + \\frac{\\rho}{3} + u_{0}^{2}$</td>\n", " <td style=\"border:none\">$1.8$</td>\n", " </tr>\n", "<tr style=\"border:none\">\n", " <td style=\"border:none\">$y^{2}$</td>\n", - " <td style=\"border:none\">$\\frac{\\rho}{3} + u_{1}^{2}$</td>\n", + " <td style=\"border:none\">$0.001 rand_{0} + \\frac{\\rho}{3} + u_{1}^{2}$</td>\n", " <td style=\"border:none\">$1.8$</td>\n", " </tr>\n", "<tr style=\"border:none\">\n", @@ -182,7 +182,7 @@ " " ], "text/plain": [ - "<lbmpy.methods.momentbased.MomentBasedLbMethod at 0x7f8600a022b0>" + "<lbmpy.methods.momentbased.MomentBasedLbMethod at 0x7f91716b8cf8>" ] }, "execution_count": 3, @@ -192,7 +192,7 @@ ], "source": [ "def modification_func(moment, equilibrium, relaxation_rate):\n", - " if is_shear_moment(moment):\n", + " if is_shear_moment(moment, dim=method.dim):\n", " equilibrium += random_number_symbols[0] * 0.001\n", " elif get_order(moment) > 2:\n", " equilibrium += random_number_symbols[1] * 0.001\n", @@ -226,8 +226,9 @@ "outputs": [ { "data": { + "image/png": "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\n", "text/latex": [ - "$$\\left [ {{seed}_{C}^{0}} \\leftarrow 1664525 {{seed}_{C}^{0}} + 1013904223, \\quad {{seed}_{C}^{1}} \\leftarrow 1664525 {{seed}_{C}^{1}} + 1013904223, \\quad {{seed}_{C}^{2}} \\leftarrow 1664525 {{seed}_{C}^{2}} + 1013904223, \\quad rand_{0} \\leftarrow \\frac{{{seed}_{C}^{0}}}{4294967295}, \\quad rand_{1} \\leftarrow \\frac{{{seed}_{C}^{1}}}{4294967295}, \\quad rand_{2} \\leftarrow \\frac{{{seed}_{C}^{2}}}{4294967295}, \\quad {{dbg}_{C}} \\leftarrow \\frac{{{seed}_{C}^{0}}}{4294967295}\\right ]$$" + "$\\displaystyle \\left[ {{seed}_{(0,0)}^{0}} \\leftarrow 1664525 {{seed}_{(0,0)}^{0}} + 1013904223, \\ {{seed}_{(0,0)}^{1}} \\leftarrow 1664525 {{seed}_{(0,0)}^{1}} + 1013904223, \\ {{seed}_{(0,0)}^{2}} \\leftarrow 1664525 {{seed}_{(0,0)}^{2}} + 1013904223, \\ rand_{0} \\leftarrow \\frac{{{seed}_{(0,0)}^{0}}}{4294967295}, \\ rand_{1} \\leftarrow \\frac{{{seed}_{(0,0)}^{1}}}{4294967295}, \\ rand_{2} \\leftarrow \\frac{{{seed}_{(0,0)}^{2}}}{4294967295}, \\ {{dbg}_{(0,0)}} \\leftarrow \\frac{{{seed}_{(0,0)}^{0}}}{4294967295}\\right]$" ], "text/plain": [ "⎡ \n", @@ -330,12 +331,14 @@ "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "<Figure size 1152x432 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -369,7 +372,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.5" + "version": "3.6.9" } }, "nbformat": 4, diff --git a/lbmpy/creationfunctions.py b/lbmpy/creationfunctions.py index 630de91..477bea9 100644 --- a/lbmpy/creationfunctions.py +++ b/lbmpy/creationfunctions.py @@ -17,12 +17,16 @@ General: - ``trt``: two relaxation time, first relaxation rate is for even moments and determines the viscosity (as in SRT), the second relaxation rate is used for relaxing odd moments, and controls the bulk viscosity. (:func:`lbmpy.methods.create_trt`) - - ``mrt``: orthogonal multi relaxation time model, number of relaxation rates depends on the stencil - (:func:`lbmpy.methods.create_mrt_orthogonal`) - - ``mrt3``: three relaxation time method, where shear moments are relaxed with first relaxation rate (and therefore - determine viscosity, second rate relaxes the shear tensor trace (determines bulk viscosity) and last rate relaxes - all other, higher order moments. If two relaxation rates are chosen the same this is equivalent to a KBC type - relaxation (:func:`lbmpy.methods.create_mrt3`) + - ``mrt``: orthogonal multi relaxation time model, relaxation rates are used in this order for : + shear modes, bulk modes, 3rd order modes, 4th order modes, etc. + Requires also a parameter 'weighted' that should be True if the moments should be orthogonal w.r.t. weighted + scalar product using the lattice weights. If `False` the normal scalar product is used. + For custom definition of the method, a 'nested_moments' can be passed. + For example: [ [1, x, y], [x*y, x**2, y**2], ... ] that groups all moments together that should be relaxed with + the same rate. Literature values of this list can be obtained through + :func:`lbmpy.methods.creationfunctions.mrt_orthogonal_modes_literature`. + See also :func:`lbmpy.methods.create_mrt_orthogonal` + - ``mrt3``: deprecated - ``mrt_raw``: non-orthogonal MRT where all relaxation rates can be specified independently i.e. there are as many relaxation rates as stencil entries. Look at the generated method in Jupyter to see which moment<->relaxation rate mapping (:func:`lbmpy.methods.create_mrt_raw`) @@ -184,6 +188,7 @@ from lbmpy.methods.creationfunctions import create_generic_mrt from lbmpy.methods.cumulantbased import CumulantBasedLbMethod from lbmpy.methods.entropic import add_entropy_condition, add_iterative_entropy_condition from lbmpy.methods.entropic_eq_srt import create_srt_entropic +from lbmpy.moments import get_order from lbmpy.relaxationrates import relaxation_rate_from_magic_number from lbmpy.simplificationfactory import create_simplification_strategy from lbmpy.stencils import get_stencil @@ -407,14 +412,16 @@ def create_lb_method(**params): elif method_name.lower() == 'mrt': next_relaxation_rate = [0] - def relaxation_rate_getter(_): + def relaxation_rate_getter(moments): try: + if all(get_order(m) < 2 for m in moments): + return 0 res = relaxation_rates[next_relaxation_rate[0]] next_relaxation_rate[0] += 1 except IndexError: raise ValueError("Too few relaxation rates specified") return res - weighted = params['weighted'] if 'weighted' in params else None + weighted = params['weighted'] if 'weighted' in params else True nested_moments = params['nested_moments'] if 'nested_moments' in params else None method = create_mrt_orthogonal(stencil_entries, relaxation_rate_getter, weighted=weighted, nested_moments=nested_moments, **common_params) @@ -509,7 +516,7 @@ def update_with_default_parameters(params, opt_params=None, fail_on_unknown_para 'compressible': False, 'equilibrium_order': 2, 'c_s_sq': sp.Rational(1, 3), - 'weighted': None, + 'weighted': True, 'nested_moments': None, 'force_model': 'none', diff --git a/lbmpy/methods/creationfunctions.py b/lbmpy/methods/creationfunctions.py index 05daaf5..3ccc08e 100644 --- a/lbmpy/methods/creationfunctions.py +++ b/lbmpy/methods/creationfunctions.py @@ -18,8 +18,8 @@ from lbmpy.methods.momentbased import MomentBasedLbMethod from lbmpy.moments import ( MOMENT_SYMBOLS, discrete_moment, exponents_to_polynomial_representations, get_default_moment_set_for_stencil, get_order, gram_schmidt, is_even, moments_of_order, - moments_up_to_component_order, sort_moments_into_groups_of_same_order) -from lbmpy.relaxationrates import default_relaxation_rate_names, relaxation_rate_from_magic_number + moments_up_to_component_order, sort_moments_into_groups_of_same_order, is_bulk_moment, is_shear_moment) +from lbmpy.relaxationrates import relaxation_rate_from_magic_number from lbmpy.stencils import get_stencil from pystencils.stencil import have_same_entries from pystencils.sympyextensions import common_denominator @@ -240,8 +240,11 @@ def create_mrt3(stencil, relaxation_rates, maxwellian_moments=False, **kwargs): The first rate controls viscosity, the second the bulk viscosity and the last is used to relax higher order moments. """ + warn("create_mrt3 is deprecated. It uses non-orthogonal moments, use create_mrt instead", DeprecationWarning) + def product(iterable): return reduce(operator.mul, iterable, 1) + if isinstance(stencil, str): stencil = get_stencil(stencil) @@ -358,7 +361,7 @@ def create_trt_kbc(dim, shear_relaxation_rate, higher_order_relaxation_rate, met return create_with_discrete_maxwellian_eq_moments(stencil, moment_to_rr, **kwargs) -def create_mrt_orthogonal(stencil, relaxation_rate_getter=None, maxwellian_moments=False, weighted=None, +def create_mrt_orthogonal(stencil, relaxation_rate_getter, maxwellian_moments=False, weighted=None, nested_moments=None, **kwargs): r""" Returns an orthogonal multi-relaxation time model for the stencils D2Q9, D3Q15, D3Q19 and D3Q27. @@ -369,26 +372,19 @@ def create_mrt_orthogonal(stencil, relaxation_rate_getter=None, maxwellian_momen Args: stencil: nested tuple defining the discrete velocity space. See `get_stencil` relaxation_rate_getter: function getting a list of moments as argument, returning the associated relaxation - time. The default returns: - - - 0 for moments of order 0 and 1 (conserved) - - :math:`\omega`: from moments of order 2 (rate that determines viscosity) - - numbered :math:`\omega_i` for the rest maxwellian_moments: determines if the discrete or continuous maxwellian equilibrium is used to compute the equilibrium moments weighted: whether to use weighted or unweighted orthogonality - modes: a list of lists of modes, grouped by common relaxation times. This is usually used in conjunction with - `mrt_orthogonal_modes_literature`. If this argument is not provided, Gram-Schmidt orthogonalization of - the default modes is performed. + nested_moments: a list of lists of modes, grouped by common relaxation times. This is usually used in + conjunction with `mrt_orthogonal_modes_literature`. If this argument is not provided, + Gram-Schmidt orthogonalization of the default modes is performed. """ dim = len(stencil[0]) - if relaxation_rate_getter is None: - relaxation_rate_getter = default_relaxation_rate_names(dim=dim) if isinstance(stencil, str): stencil = get_stencil(stencil) if weighted is None and not nested_moments: - raise ValueError("Please specify whether you want weighted or unweighted orthogonality") + raise ValueError("Please specify whether you want weighted or unweighted orthogonality using 'weighted='") elif weighted: weights = get_weights(stencil, sp.Rational(1, 3)) else: @@ -407,7 +403,13 @@ def create_mrt_orthogonal(stencil, relaxation_rate_getter=None, maxwellian_momen orthogonal_moments = gram_schmidt(moments, stencil, weights) orthogonal_moments_scaled = [e * common_denominator(e) for e in orthogonal_moments] nested_moments = list(sort_moments_into_groups_of_same_order(orthogonal_moments_scaled).values()) - + # second order moments: separate bulk from shear + second_order_moments = nested_moments[2] + bulk_moment = [m for m in second_order_moments if is_bulk_moment(m, dim)] + shear_moments = [m for m in second_order_moments if is_shear_moment(m, dim)] + assert len(shear_moments) + len(bulk_moment) == len(second_order_moments) + nested_moments[2] = shear_moments + nested_moments.insert(3, bulk_moment) for moment_list in nested_moments: rr = relaxation_rate_getter(moment_list) for m in moment_list: @@ -428,6 +430,8 @@ def mrt_orthogonal_modes_literature(stencil, is_weighted, is_cumulant): stencil: nested tuple defining the discrete velocity space. See `get_stencil` is_weighted: whether to use weighted or unweighted orthogonality is_cumulant: whether a moment-based or cumulant-based model is desired + + MRT schemes as described in the following references are used """ x, y, z = MOMENT_SYMBOLS one = sp.Rational(1, 1) diff --git a/lbmpy/relaxationrates.py b/lbmpy/relaxationrates.py index d6baa27..70c9bdd 100644 --- a/lbmpy/relaxationrates.py +++ b/lbmpy/relaxationrates.py @@ -1,6 +1,6 @@ import sympy as sp -from lbmpy.moments import get_order, is_shear_moment +from lbmpy.moments import is_shear_moment def relaxation_rate_from_lattice_viscosity(nu): @@ -57,26 +57,3 @@ def relaxation_rate_scaling(omega, level_scale_factor): relaxation rate on refined grid """ return omega / (omega / 2 + level_scale_factor * (1 - omega / 2)) - - -def default_relaxation_rate_names(dim): - next_index = [0] - - def result(moment_list): - shear_moment_inside = False - all_conserved_moments = True - for m in moment_list: - if is_shear_moment(m, dim): - shear_moment_inside = True - if not (get_order(m) == 0 or get_order(m) == 1): - all_conserved_moments = False - - if shear_moment_inside: - return sp.Symbol("omega") - elif all_conserved_moments: - return 0 - else: - next_index[0] += 1 - return sp.Symbol("omega_%d" % (next_index[0],)) - - return result diff --git a/lbmpy_tests/benchmark/test_benchmark.py b/lbmpy_tests/benchmark/test_benchmark.py index 0088096..0a34870 100644 --- a/lbmpy_tests/benchmark/test_benchmark.py +++ b/lbmpy_tests/benchmark/test_benchmark.py @@ -86,14 +86,16 @@ def method_options(dim=2, with_srt=False, with_mrt=False, rr_free = "rr_free" methods = [{'method': 'trt'}] if with_mrt: - methods += [{'method': 'mrt3'}, {'method': 'mrt_raw'}] + methods += [{'method': 'mrt'}, {'method': 'mrt_raw'}] if with_srt: methods += [{'method': 'srt'}] if with_entropic: - methods += [{'entropic': True, 'method': 'mrt3', 'relaxation_rates': [1.5, 1.5, rr_free]}, - {'entropic': True, 'method': 'mrt3', 'relaxation_rates': [1.5, rr_free, rr_free]}, + methods += [{'entropic': True, 'method': 'mrt', 'relaxation_rates': [1.5, 1.5, rr_free, rr_free, + rr_free, rr_free]}, + {'entropic': True, 'method': 'mrt', 'relaxation_rates': [1.5, rr_free, rr_free, rr_free, + rr_free, rr_free]}, {'entropic': True, 'method': 'trt-kbc-n1'}, {'entropic': True, 'method': 'trt-kbc-n2'}, {'entropic': True, 'method': 'trt-kbc-n3'}, diff --git a/lbmpy_tests/test_momentbased_methods_equilibrium.py b/lbmpy_tests/test_momentbased_methods_equilibrium.py index b68bc79..4dca8ab 100644 --- a/lbmpy_tests/test_momentbased_methods_equilibrium.py +++ b/lbmpy_tests/test_momentbased_methods_equilibrium.py @@ -3,6 +3,7 @@ Moment-based methods are created by specifying moments and their equilibrium val This test checks if the equilibrium formula obtained by this method is the same as the explicitly given discrete_maxwellian_equilibrium """ +import pytest import sympy as sp from lbmpy.creationfunctions import create_lb_method @@ -35,29 +36,14 @@ def check_for_matching_equilibrium(method_name, stencil, compressibility): assert diff.is_zero -def check_for_matching_equilibrium_for_stencil(stencil_name): +@pytest.mark.parametrize("stencil_name", ["D2Q9", "D3Q15", "D3Q19", "D3Q27"]) +def test_for_matching_equilibrium_for_stencil(stencil_name): stencil = get_stencil(stencil_name) for method in ['srt', 'trt', 'mrt']: check_for_matching_equilibrium(method, stencil, True) check_for_matching_equilibrium(method, stencil, False) -def test_d2_q9(): - check_for_matching_equilibrium_for_stencil('D2Q9') - - -def test_d3_q27(): - check_for_matching_equilibrium_for_stencil('D3Q27') - - -def test_d3_q19(): - check_for_matching_equilibrium_for_stencil('D3Q19') - - -def test_d3_q15(): - check_for_matching_equilibrium_for_stencil('D3Q15') - - def test_relaxation_rate_setter(): o1, o2, o3 = sp.symbols("o1 o2 o3") method = create_lb_method(method='srt', stencil='D2Q9', relaxation_rates=[o3]) @@ -74,28 +60,28 @@ def test_mrt_orthogonal(): m_ref = {} moments = mrt_orthogonal_modes_literature(get_stencil("D2Q9"), True, False) - m = create_mrt_orthogonal(get_stencil("D2Q9"), maxwellian_moments=True, nested_moments=moments) + m = create_lb_method(stencil=get_stencil("D2Q9"), method='mrt', maxwellian_moments=True, nested_moments=moments) assert m.is_weighted_orthogonal m_ref[("D2Q9", True)] = m moments = mrt_orthogonal_modes_literature(get_stencil("D3Q15"), True, False) - m = create_mrt_orthogonal(get_stencil("D3Q15"), maxwellian_moments=True, nested_moments=moments) + m = create_lb_method(stencil=get_stencil("D3Q15"), method='mrt', maxwellian_moments=True, nested_moments=moments) assert m.is_weighted_orthogonal m_ref[("D3Q15", True)] = m moments = mrt_orthogonal_modes_literature(get_stencil("D3Q19"), True, False) - m = create_mrt_orthogonal(get_stencil("D3Q19"), maxwellian_moments=True, nested_moments=moments) + m = create_lb_method(stencil=get_stencil("D3Q19"), method='mrt', maxwellian_moments=True, nested_moments=moments) assert m.is_weighted_orthogonal m_ref[("D3Q19", True)] = m moments = mrt_orthogonal_modes_literature(get_stencil("D3Q27"), False, False) - m = create_mrt_orthogonal(get_stencil("D3Q27"), maxwellian_moments=True, nested_moments=moments) + m = create_lb_method(stencil=get_stencil("D3Q27"), method='mrt', maxwellian_moments=True, nested_moments=moments) assert m.is_orthogonal m_ref[("D3Q27", False)] = m for weighted in [True, False]: for stencil in ["D2Q9", "D3Q15", "D3Q19", "D3Q27"]: - m = create_mrt_orthogonal(get_stencil(stencil), maxwellian_moments=True, weighted=weighted) + m = create_lb_method(stencil=get_stencil(stencil), method='mrt', maxwellian_moments=True, weighted=weighted) if weighted: assert m.is_weighted_orthogonal else: diff --git a/lbmpy_tests/test_relaxation_rate.py b/lbmpy_tests/test_relaxation_rate.py index 39ce082..f8e52d8 100644 --- a/lbmpy_tests/test_relaxation_rate.py +++ b/lbmpy_tests/test_relaxation_rate.py @@ -1,5 +1,5 @@ import pytest - +import sympy as sp from lbmpy.creationfunctions import create_lb_method from lbmpy.relaxationrates import get_shear_relaxation_rate @@ -11,6 +11,6 @@ def test_relaxation_rate(): get_shear_relaxation_rate(method) assert 'Shear moments are relaxed with different relaxation' in str(e.value) - method = create_lb_method(stencil="D2Q9", method='mrt_raw', - relaxation_rates=[1 + i / 10 for i in range(9)]) - assert get_shear_relaxation_rate(method) == 1.5 + omegas = sp.symbols("omega_:4") + method = create_lb_method(stencil="D2Q9", method='mrt', relaxation_rates=omegas) + assert get_shear_relaxation_rate(method) == omegas[0] diff --git a/lbmpy_tests/test_serial_scenarios.py b/lbmpy_tests/test_serial_scenarios.py index 4519306..024166e 100644 --- a/lbmpy_tests/test_serial_scenarios.py +++ b/lbmpy_tests/test_serial_scenarios.py @@ -217,6 +217,6 @@ def test_ldc_mrt(action='Testing', plot="off"): moments = mrt_orthogonal_modes_literature(get_stencil("D3Q19"), True, False) compare_lid_driven_cavity(domain_size=(16, 17, 18), lid_velocity=0.005, stencil='D3Q19', method='MRT', nested_moments=moments, compressible=False, maxwellian_moments=False, - relaxation_rates=[1, 1.3, 1.4, 1.5, 1.25, 1.36, 1.12], action=action, plot=plot) + relaxation_rates=[1.3, 1.4, 1.5, 1.25, 1.36, 1.12], action=action, plot=plot) else: print("Possible Actions: Regenerate or Testing") diff --git a/lbmpy_tests/test_split_optimization.py b/lbmpy_tests/test_split_optimization.py index 5528cae..821d686 100644 --- a/lbmpy_tests/test_split_optimization.py +++ b/lbmpy_tests/test_split_optimization.py @@ -30,14 +30,15 @@ def test_split_number_of_operations(): @pytest.mark.longrun def test_equivalence(): - relaxation_rates = [1.8, 1.7, 1.0] + relaxation_rates = [1.8, 1.7, 1.0, 1.0, 1.0, 1.0] for stencil in ['D2Q9', 'D3Q15', 'D3Q19', 'D3Q27']: for compressible in (True, False): - for method in ('srt', 'mrt3'): + for method in ('srt', 'mrt'): for force in ((0, 0, 0), (1e-6, 1e-7, 2e-6)): common_params = {'domain_size': (20, 30) if stencil.startswith('D2') else (10, 13, 7), 'stencil': stencil, 'method': method, + 'weighted': True, 'compressible': compressible, 'force': force, 'relaxation_rates': relaxation_rates} @@ -50,12 +51,13 @@ def test_equivalence(): def test_equivalence_short(): - relaxation_rates = [1.8, 1.7, 1.0] - for stencil, compressible, method, force in [('D2Q9', True, 'srt', 1e-7), ('D3Q19', False, 'mrt3', 0)]: + relaxation_rates = [1.8, 1.7, 1.0, 1.0, 1.0, 1.0] + for stencil, compressible, method, force in [('D2Q9', True, 'srt', 1e-7), ('D3Q19', False, 'mrt', 0)]: dim = int(stencil[1]) common_params = {'domain_size': (20, 30) if stencil.startswith('D2') else (10, 13, 7), 'stencil': stencil, 'method': method, + 'weighted': True, 'compressible': compressible, 'force': (force, 0, 0)[:dim], 'relaxation_rates': relaxation_rates} -- GitLab