Application of the parabolic spline method (PSM) to a multi-dimensional conservative semi-Lagrangian transport scheme (SLICE)

DOI10.1016/j.jcp.2007.01.006zbMath1343.76054OpenAlexW2032496201MaRDI QIDQ2381183

A. Staniforth, Mohamed Zerroukat, Nigel Wood

Publication date: 14 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2007.01.006

zbMATH Keywords

monotonicityadvectionconservationcascaderemappingpiecewise parabolic method (PPM)

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Meteorology and atmospheric physics (86A10) Computational methods for problems pertaining to geophysics (86-08)

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Uses Software

• chammp

Cites Work

• Unnamed Item
• The piecewise parabolic method (PPM) for gas-dynamical simulations
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• A forward-trajectory global semi-Lagrangian transport scheme.
• The Parabolic Spline Method (PSM) for conservative transport problems
• Completely conservative and oscillationless semi-Lagrangian schemes for advection transportation