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SLAU2 applied to two-dimensional, ideal magnetohydrodynamics simulations. (English) Zbl 07336661
Summary: SLAU2 (Simple Low-dissipation Advection-Upstream-splitting-method 2) numerical flux function, one of AUSM-type methods (3-wave solver), originally developed and widely used in gasdynamics, has been applied to two-dimensional magnetohydrodynamics (MHD) simulations. According to numerical tests for a wide range of flow and magnetic conditions, its reliability, efficiency, and accuracy have been demonstrated: i) Robustness of SLAU2 against shock-anomalies (e.g., carbuncle phenomena) has been confirmed in the MHD-extended version of our hypersonic flow test; ii) The computational cost has been reduced for approximately 3% compared with HLLD (Harten-Lax-van\(\_\)Leer with Discontinuities), a more expensive, 5-wave solver; iii) Nevertheless, its solution qualities are almost equal to those of HLLD, as opposed to very diffused HLL solutions. For benchmark tests, detailed and important flow physics such as multidimensional shock/shock interactions have been successfully reproduced by SLAU2. We hope that SLAU2 will contribute to further progress of the astrophysics and other research fields.
MSC:
76-XX Fluid mechanics
Keywords:
SLAU2; MHD; Euler fluxes
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