A simple mass conserving semi-Lagrangian scheme for transport problems

DOI10.1016/j.jcp.2010.08.017zbMath1427.76227OpenAlexW2082105827MaRDI QIDQ608794

Mohamed Zerroukat

Publication date: 26 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.08.017

zbMATH Keywords

monotonicityadvectionconservationremapping

Mathematics Subject Classification ID

Meteorology and atmospheric physics (86A10) Basic methods in fluid mechanics (76M99)

Related Items

SLIC: a semi-Lagrangian implicitly corrected method for solving the compressible Euler equations ⋮ On the monotonic and conservative transport on overset/Yin-Yang grids ⋮ 3D conservative cascade semi-Lagrangian transport scheme using reduced latitude-longitude grid (CCS-RG) ⋮ Optimization-based, property-preserving algorithm for passive tracer transport ⋮ Improvement of fast fluid dynamics with a conservative semi-Lagrangian scheme ⋮ Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions ⋮ Simulation of all-scale atmospheric dynamics on unstructured meshes ⋮ Communication-Efficient Property Preservation in Tracer Transport

Uses Software

• chammp

Cites Work

• A conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed-sphere grid
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Application of the parabolic spline method (PSM) to a multi-dimensional conservative semi-Lagrangian transport scheme (SLICE)
• Unsteady analytical solutions of the spherical shallow water equations
• The Parabolic Spline Method (PSM) for conservative transport problems