Extensions: take into account viscosity, diffusion, chemistry, etc.
Numerical Schemes for Compressible Fluid Mechanics
Article REF: AF512 V1
Extensions: take into account viscosity, diffusion, chemistry, etc.
Numerical Schemes for Compressible Fluid Mechanics

Author : Rodolphe TURPAULT

Publication date: November 10, 2020 | Lire en français

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2. Extensions: take into account viscosity, diffusion, chemistry, etc.

Now that we have numerical schemes for the Euler equations, we can try to complete them to take into account the effects of viscosity and thermal diffusion, chemical reactions or other factors. We'll start by introducing the first two, and then work on the compressible Navier-Stokes equations. These can be written as :

∂tρ+div(ρV)=0,( 10 )
∂t(ρ
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