A tree-based adaptive scheme for solution of the equations of gas dynamics and magnetohydrodynamics

DOI10.1016/0168-9274(94)90032-9zbMath0803.76061OpenAlexW2121198369MaRDI QIDQ1330503

Kenneth G. Powell

Publication date: 21 July 1994

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/31677

zbMATH Keywords

quadtree data structurehierarchically structured meshmulti-stage time- stepping schemepositive linear reconstruction methodupwind-biased flux function

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items

Space-time adaptive solution of first order PDEs, A dynamic adaptation scheme for general 3-D hybrid meshes, Simple modifications of monotonicity-preserving limiters

Cites Work

• An upwind differencing scheme for the equations of ideal magnetohydrodynamics
• Approximate Riemann solvers, parameter vectors, and difference schemes
• An adaptively refined Cartesian mesh solver for the Euler equations
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
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