A high-order finite volume remapping scheme for nonuniform grids: the piecewise quartic method (PQM)

DOI10.1016/j.jcp.2008.04.026zbMath1140.76026OpenAlexW2100399963WikidataQ58891741 ScholiaQ58891741MaRDI QIDQ934133

Alistair Adcroft, Laurent White

Publication date: 29 July 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.04.026

zbMATH Keywords

piecewise parabolic methodlimiter

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12)

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Uses Software

• HYCOM

Cites Work

• The piecewise parabolic method (PPM) for gas-dynamical simulations
• Accurate monotonicity-preserving schemes with Runge-Kutta time stepping
• High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations.
• Second-order sign-preserving conservative interpolation (remapping) on general grids
• The repair paradigm and application to conservation laws
• A finite volume formulation of compact central schemes on arbitrary structured grids
• On a class of Padé finite volume methods
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• A cell by cell anisotropic adaptive mesh ALE scheme for the numerical solution of the Euler equations
• Finite Volume Methods for Hyperbolic Problems
• The Parabolic Spline Method (PSM) for conservative transport problems