Publication: An Arbitrarily High Order and Asymptotic Preserving Kinetic Scheme in Compressible Fluid Dynamic
An Arbitrarily High Order and Asymptotic Preserving Kinetic Scheme in Compressible Fluid Dynamic
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Abgrall, R., & Nassajian Mojarrad, F. (2024). An Arbitrarily High Order and Asymptotic Preserving Kinetic Scheme in Compressible Fluid Dynamic. Communications on Applied Mathematics and Computation, 6(2), 963–991. https://doi.org/10.1007/s42967-023-00274-w
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We present a class of arbitrarily high order fully explicit kinetic numerical methods in compressible fluid dynamics, both in time and space, which include the relaxation schemes by Jin and Xin. These methods can use the CFL number larger or equal to unity on regular Cartesian meshes for the multi-dimensional case. These kinetic models depend on a small parameter that can be seen as a “Knudsen” number. The method is asymptotic preserving in this Knudsen number. Also, the computational costs of the method are of the same order of a ful
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- Nassajian Mojarrad, Fatemeh
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Abgrall, R., & Nassajian Mojarrad, F. (2024). An Arbitrarily High Order and Asymptotic Preserving Kinetic Scheme in Compressible Fluid Dynamic. Communications on Applied Mathematics and Computation, 6(2), 963–991. https://doi.org/10.1007/s42967-023-00274-w
