Commit 7ae8e2b3 authored by Michael Kuron's avatar Michael Kuron
Browse files

minor documentation fix for Shan-Chen

parent ef7c7239
......@@ -54,11 +54,11 @@
## Force & combined velocity
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The force on the fluid is
$\vec{F}_A(\vec{x})=-\psi(\rho_A(\vec{x}))g_{AA}\sum\limits_{i=1}^{19}w_i\psi(\rho_A(\vec{x}+\vec{c}_i))\vec{c}_i$
$\vec{F}_A(\vec{x})=-\psi(\rho_A(\vec{x}))g_{AA}\sum\limits_{i=1}^{q}w_i\psi(\rho_A(\vec{x}+\vec{c}_i))\vec{c}_i$
with
$\psi(\rho)=\rho_0\left[1-\exp(-\rho/\rho_0)\right]$.
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......@@ -72,11 +72,11 @@
The force value is not written to a field, but directly evaluated inside the collision kernel.
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The force between the two components is
$\vec{F}_k(\vec{x})=-\psi(\rho_k(\vec{x}))\sum\limits_{k^\prime\in\{A,B\}}g_{kk^\prime}\sum\limits_{i=1}^{19}w_i\psi(\rho_{k^\prime}(\vec{x}+\vec{c}_i))\vec{c}_i$
$\vec{F}_k(\vec{x})=-\psi(\rho_k(\vec{x}))\sum\limits_{k^\prime\in\{A,B\}}g_{kk^\prime}\sum\limits_{i=1}^{q}w_i\psi(\rho_{k^\prime}(\vec{x}+\vec{c}_i))\vec{c}_i$
for $k\in\{A,B\}$
and with
$\psi(\rho)=\rho_0\left[1-\exp(-\rho/\rho_0)\right]$.
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