A unified asymptotic preserving and well-balanced scheme for the Euler system with multiscale relaxation

The design and analysis of a unified asymptotic preserving (AP) and well-balanced scheme for the Euler Equations with gravitational and frictional source terms is presented in this paper. The asymptotic behaviour of the Euler system in the limit of zero Mach and Froude numbers, and large friction is...

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Veröffentlicht in:	Computers & fluids 2022-01, Vol.233, p.105248, Article 105248
Hauptverfasser:	Arun, K.R., Krishnan, M., Samantaray, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Compressible Euler system Discretization Euler-Lagrange equation Finite volume method Fluxes Hydrostatic steady states Multiscale relaxation Parameters Robustness (mathematics) Runge-Kutta method Unified asymptotic preserving Well-balancing
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