[Dan96]

Hello there,


i'm new in the CFD-community and have a question about discretization:


Is important when I discretize my differential equations? I want to calculate the convection diffusion equation numerically (velocity in convective Term approximated by Darcy's Law and diffusive Term approximated by Fick's Law).



Is it possible to avoid the product rule of differentiation (in the convective term the velocity and the concentration are both dependent on spatial coordinate) if I discretize the continuity equation before adding Darcy's and Fick's law? What are the consequences if I discretize my equations earlier?


Best regards


Dan

[FMDenaro]

Originally Posted by Dan96

Hello there,


i'm new in the CFD-community and have a question about discretization:


Is important when I discretize my differential equations? I want to calculate the convection diffusion equation numerically (velocity in convective Term approximated by Darcy's Law and diffusive Term approximated by Fick's Law).



Is it possible to avoid the product rule of differentiation (in the convective term the velocity and the concentration are both dependent on spatial coordinate) if I discretize the continuity equation before adding Darcy's and Fick's law? What are the consequences if I discretize my equations earlier?


Best regards


Dan

I don't understand clearly your question. However, you have to follow the coupling dictated by the differential equations.