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Based on the artificial compressible method, an iteration penalty semi-discrete scheme is proposed for the numerical simulations of the incompressible Navier-Stokes equations with variable density. Compared with the classical penalty… Click to show full abstract
Based on the artificial compressible method, an iteration penalty semi-discrete scheme is proposed for the numerical simulations of the incompressible Navier-Stokes equations with variable density. Compared with the classical penalty scheme, the main feature is that the proposed iteration penalty scheme is of the first-order temporal convergence rate for any penalty parameter ε > 0 independent of the time step size τ . Numerical results are given to illustrate the theoretical analysis.
Journal Title: Advances in Computational Mathematics
Year Published: 2020
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