The monotonic quartic spline method (QSM) for conservative transport problems

DOI10.1016/j.jcp.2009.10.018zbMath1183.65115OpenAlexW1987444249MaRDI QIDQ846544

A. Staniforth, Mohamed Zerroukat, Nigel Wood

Publication date: 9 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.10.018

zbMATH Keywords

monotonicitymass conservationnumerical examplesadvectionpiecewise parabolic methodtransport equationconservationremappingPPMadvection schemedirectional splitting methodologymonotonic quartic spline methodparabolic spline methodPSMremapping algorithm

Mathematics Subject Classification ID

Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Uses Software

• chammp

Cites Work

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• The piecewise parabolic method (PPM) for gas-dynamical simulations
• A high-order finite volume remapping scheme for nonuniform grids: the piecewise quartic method (PQM)
• A fast numerical algorithm for the inverse of a tridiagonal and pentadiagonal matrix
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
• A forward-trajectory global semi-Lagrangian transport scheme.
• Application of the parabolic spline method (PSM) to a multi-dimensional conservative semi-Lagrangian transport scheme (SLICE)
• The Parabolic Spline Method (PSM) for conservative transport problems
• Completely conservative and oscillationless semi-Lagrangian schemes for advection transportation