Abstract
This benchmark proposes test-cases to assess innovative finite volume type methods developped to solve the equations of incompressible fluid mechanics. Emphasis is set on the ability to handle very general meshes, on accuracy, robustness and computational complexity. Two-dimensional as well as three-dimensional tests with known analytical solutions are proposed for the steady Stokes and both steady and unsteady Navier–Stokes equations, as well as classical lid-driven cavity tests.
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Notes
- 1.
mostly taken from the previous FVCA5 and FVCA6 benchmarks.
- 2.
We finally decided to add two finer meshes in this family mesh_ref_6 and mesh_ref_7 that were not present when we launched the benchmark proposal.
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Boyer, F., Omnes, P. (2017). Benchmark Proposal for the FVCA8 Conference: Finite Volume Methods for the Stokes and Navier–Stokes Equations. In: Cancès, C., Omnes, P. (eds) Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects . FVCA 2017. Springer Proceedings in Mathematics & Statistics, vol 199. Springer, Cham. https://doi.org/10.1007/978-3-319-57397-7_5
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