Numerical analysis Boundary value problems and finite elements Concept
Finite volume method
Summary
The finite volume method discretizes a conservation law by dividing the domain into small control volumes and keeping the average of the solution in each. The divergence theorem turns the change of each average into a sum of fluxes through the faces of the volume. Each flux is computed once and used by the two volumes that share the face, so the scheme conserves the total amount exactly. This makes it the standard method for shocks in gas dynamics and for transport in fluid mechanics; Godunov's scheme is a classical example. See the definition.
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| Tag | HGKN8E09RS |
|---|---|
| URI | m2://HGKN8E09RS |
| Kind | concept |
| Writing | W0 stub |
| MSC | 65M08, 65N08, 35L65 |
| Same as |
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