High order structure-preserving finite difference WENO schemes for MHD equations with gravitation in all sonic Mach numbers

DOI10.1007/s10915-024-02492-7OpenAlexW4393119703MaRDI QIDQ6131529

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Publication date: 5 April 2024

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-024-02492-7

zbMATH Keywords

well-balanceddivergence-freeasymptotic preservingall Machasymptotically accurateMHD with gravitation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05) Finite difference methods applied to problems in fluid mechanics (76M20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Magnetohydrodynamics and electrohydrodynamics (76W05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite difference methods for boundary value problems involving PDEs (65N06) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Numerical methods for stiff equations (65L04) Diffusive and convective heat and mass transfer, heat flow (80A19)

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