Convergence of a finite volume scheme for the incompressible fluids
arXiv:0704.07879 citationsh-index: 25
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Provides theoretical convergence guarantee for a numerical scheme used in computational fluid dynamics.
The paper proves convergence of a finite volume scheme for 2D incompressible Navier-Stokes equations on triangular meshes, building on prior stability results.
We consider a finite volume scheme for the two-dimensional incompressible Navier-Stokes equations. We use a triangular mesh. The unknowns for the velocity and pressure are respectively piecewise constant and affine. We use a projection method to deal with the incompressibility constraint. In a former paper, the stability of the scheme has been proven. We infer from it its convergence.