Benchmark proposal for the FVCA8 conference: finite volume methods for the stokes and navier–stokes equations

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.