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Questions related to solving the advection-diffusion equation using numerical methods, including derivation and implementation of boundary conditions.

2 votes
1 answer
153 views

Solving a set of mixed conservative/non-conservative equations with the finite volume method

I want to solve this set of 2D advection-diffusion equations of this form in spherical coordinates: $$ \frac{\partial f}{\partial t}=-\mathbf{u}\cdot\nabla f+\eta\nabla^2f+\eta_1(\mathbf{e}_1\cdot\nab …
BitterDecoction's user avatar
3 votes
2 answers
239 views

Non-conservative advective term in a finite volume scheme

I am interested in solving this set of nonlinear couples advection-diffusion equations using a finite volume scheme: $$ \frac{\partial f(x,y)}{\partial t}=-(\boldsymbol{u}+\nabla\eta)\cdot\nabla f +\n …
BitterDecoction's user avatar