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Kinetic-based numerical schemes for incompressible Navier–Stokes equations |
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| Affiliation: | 1. School of Mathematical Sciences, University of KwaZulu-Natal (Pietermaritzburg), Private Bag X01, Scottsville 3209, South Africa;2. Department of Mathematics and Statistics, Fach D194, University of Konstanz, D-78457 Konstanz, Germany;3. Department of Mathematics, Kaiserslautern University of Technology, Erwin-Schrödingerstr., D-67663 Kaiserslautern, Germany |
| Abstract: | Numerical schemes for incompressible Navier–Stokes equations based on low Mach number limits of kinetic equations are presented. Discretizations of the incompressible Navier–Stokes equations are derived based on discretizations of the Boltzmann equation and consideration for the low Mach number limit. In the incompressible Navier–Stokes limit the discretizations reduce to explicit high-order numerical schemes. Numerical results for several test cases and comparisons with other well-known approaches are also presented. |
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