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Publikováno v:
SIAM Journal on Scientific Computing. 44:B368-B394
In this paper, we propose a new high order semi-implicit scheme for the all Mach full Euler equations of gas dynamics. Material waves are treated explicitly, while acoustic waves are treated implicitly, thus avoiding severe CFL restrictions for low M
Autor:
Seung Yeon Cho, Sebastiano Boscarino
In the classical literature high order semi-Lagrangian schemes proposed for solving the BGK model of Boltzmann equation suffer from the phenomenon of order reduction when the Knudsen number becomes zero, i.e. in the fluid regime. In this brief note w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::961b9969726f58be0a23dd3568fd5f38
http://hdl.handle.net/20.500.11769/513742
http://hdl.handle.net/20.500.11769/513742
Most numerical schemes proposed for solving BGK models for rarefied gas dynamics are based on the discrete velocity approximation. Since such approach uses fixed velocity grids, one must secure a sufficiently large domain with fine velocity grids to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d70dd6648edc806a49e5754b7f4e5f76
In this paper, we propose a new semi-Lagrangian scheme for the polyatomic ellipsoidal BGK model. In order to avoid time step restrictions coming from convection term and small Knudsen number, we combine a semi-Lagrangian approach for the convection t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ceb6d15bce4b528246534b7b4058d17f
Publikováno v:
Computers & Fluids. 169:155-168
The paper deals with the construction and analysis of efficient high order finite volume shock capturing schemes for the numerical solution of hyperbolic systems with stiff relaxation. In standard high order finite volume schemes it is difficult to t
Publikováno v:
Computers & Fluids. 169:87-97
A new method for the numerical solution of ODEs is presented. This approach is based on an approximate formulation of the Taylor methods that has a much easier implementation than the original Taylor methods, since only the functions in the ODEs, and
Publikováno v:
Journal of Scientific Computing
This paper presents an asymptotic preserving (AP) all Mach number finite volume shock capturing method for the numerical solution of compressible Euler equations of gas dynamics. Both isentropic and full Euler equations are considered. The equations
Publikováno v:
Communications on Applied Mathematics and Computation. 3:605-605