Convergence of a finite volume scheme for the incompressible fluids
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🧮 math.NA
cs.NA
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schemeconvergencefiniteincompressiblevolumeaffinebeenconsider
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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.
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