From a99500ac36992674713f3e99a92dc5af0749fee1 Mon Sep 17 00:00:00 2001 From: Ann Almgren <asalmgren@lbl.gov> Date: Wed, 17 Oct 2018 18:37:09 -0700 Subject: [PATCH] Add fluid equations --- docs/source/FluidEquations.rst | 14 ++++++++++++++ docs/source/index.rst | 3 ++- 2 files changed, 16 insertions(+), 1 deletion(-) create mode 100644 docs/source/FluidEquations.rst diff --git a/docs/source/FluidEquations.rst b/docs/source/FluidEquations.rst new file mode 100644 index 0000000..54faa62 --- /dev/null +++ b/docs/source/FluidEquations.rst @@ -0,0 +1,14 @@ +Fluid Equations +=============== + +Below are the governing equations for the fluid: + +.. math:: \frac{\partial (\epsilon_g \rho_g)}{\partial t} + \nabla \cdot (\epsilon_g \rho_g U_g) = 0 + :label: eqn::mass_cons + +.. math:: \frac{ \partial (\epsilon_g \rho_g U)}{\partial t} + \nabla \cdot (\epsilon_g \rho_g U_g U_g) + \epsilon_g \nabla p_g = \nabla \cdot \tau + {\bf g} + :label: eqn::mom_cons + +.. math:: \frac{\partial \epsilon_g}{\partial t} + \nabla \cdot (\epsilon_g U_g) = 0 + :label: eqn::mass_eps + diff --git a/docs/source/index.rst b/docs/source/index.rst index fa73cba..89f0a21 100644 --- a/docs/source/index.rst +++ b/docs/source/index.rst @@ -22,7 +22,8 @@ the master branch at the beginning of each month. Introduction GettingStarted - Particle + FluidEquations + Particles ParticleBasics ParticleFluid ParticleWalls -- GitLab