New answers tagged finite-volume
2
votes
Non-Uniform Grids: Approximation Quality: First Order Finite Difference vs. First Order Finite Volume
The advection with constant velocity is a special (simple) case of the general advection equation in conservative (divergence) and non-conservative (non-divergent) form.
For the nonconservative case ...
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4
votes
Accepted
Numerical solution of an advection equation, $\frac{\partial P}{\partial t}+\frac{\partial}{\partial x}\left(P^{5/3}\right)=0$, with finite volume
Your discretization with the upwind scheme looks correct.
One reason why you get oscillations might be that you are choosing an incorrect time step. Another one is if you have some complicated and not ...
- 56
3
votes
Gmsh Python: Specify mesh regularity conditons
If you're prepared to be a little more flexible with your definition of cell "centres", it's possible to achieve the regularity constraints you seek via Delaunay Triangulations and Voronoi ...
- 516
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