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• W3044652118 startingPage "109723" @default.
• W3044652118 abstract "We present an implicit-explicit well-balanced finite volume scheme for the Euler equations with a gravitational source term which is able to deal also with low Mach flows. To visualize the different scales we use the non-dimensionalized equations on which we apply a pressure splitting and a Suliciu relaxation. On the resulting model, we apply a splitting of the flux into a linear implicit and an non-linear explicit part that leads to a scale independent time-step. The explicit step consists of a Godunov type method based on an approximative Riemann solver where the source term is included in the flux formulation. We develop the method for a first order scheme and give an extension to second order. Both schemes are designed to be well-balanced, preserve the positivity of density and internal energy and have a scale independent diffusion. We give the low Mach limit equations for well-prepared data and show that the scheme is asymptotic preserving. These properties are numerically validated by various test cases." @default.
• W3044652118 created "2020-07-29" @default.
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• W3044652118 date "2020-11-01" @default.
• W3044652118 modified "2023-10-16" @default.
• W3044652118 title "An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity" @default.
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• W3044652118 doi "https://doi.org/10.1016/j.jcp.2020.109723" @default.
• W3044652118 hasPublicationYear "2020" @default.
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