Publikation: Kinetic derivation of a finite difference scheme for incompressible Navier-Stokes equations
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2003
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Journal of Computational and Applied Mathematics. 2003, 154(2), pp. 341-354. ISSN 0377-0427. eISSN 1879-1778. Available under: doi: 10.1016/S0377-0427(02)00857-9
Zusammenfassung
In the present paper the low Mach number limit of kinetic equations is used to develop a discretization for the incompressible Navier-Stokes equation. The kinetic equation is discretized with a first and second order discretization in space. The discretized equation is then considered in the low Mach number limit. Using this limit a second order discretization for the convective part in the incompressible Navier Stokes equation is obtained. Numerical experiments are shown comparing different approaches.
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510 Mathematik
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BANDA, Mapundi K., Michael JUNK, Axel KLAR, 2003. Kinetic derivation of a finite difference scheme for incompressible Navier-Stokes equations. In: Journal of Computational and Applied Mathematics. 2003, 154(2), pp. 341-354. ISSN 0377-0427. eISSN 1879-1778. Available under: doi: 10.1016/S0377-0427(02)00857-9BibTex
@article{Banda2003Kinet-25422, year={2003}, doi={10.1016/S0377-0427(02)00857-9}, title={Kinetic derivation of a finite difference scheme for incompressible Navier-Stokes equations}, number={2}, volume={154}, issn={0377-0427}, journal={Journal of Computational and Applied Mathematics}, pages={341--354}, author={Banda, Mapundi K. and Junk, Michael and Klar, Axel} }
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