Conservative semi-Lagrangian advection on adaptive unstructured meshes

DOI10.1002/num.10100zbMath1048.65084OpenAlexW2086041177WikidataQ115404970 ScholiaQ115404970MaRDI QIDQ4736783

Armin Iske, Martin Käser

Publication date: 6 August 2004

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.10100

zbMATH Keywords

numerical resultsfinite volume methoderror boundsunstructured meshVoronoi diagramadvection equationsemi-Lagrangian methodconservative schememesh adaptivitylinear advection equations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Initial value problems for first-order hyperbolic systems (35L45)

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Cites Work

• Fully multidimensional flux-corrected transport algorithms for fluids
• Detection of discontinuities in scattered data approximation
• Grid-free adaptive semi-Lagrangian advection using radial basis functions
• ADER: Arbitrary high-order Godunov approach
• Conservative semi-Lagrangian finite volume schemes
• A conservative semi‐Lagrangian method for multidimensional fluid dynamics applications
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