The moving mesh semi-Lagrangian MMSISL method

DOI10.1016/j.jcp.2019.01.037zbMath1452.65217OpenAlexW2915644545MaRDI QIDQ2222270

S. P. Cook, Chris J. Budd, Thomas Melvin

Publication date: 26 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2019.01.037

zbMATH Keywords

error estimatesBurgers' equationmoving mesh methodssemiimplicit semi-Lagrangian

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (4)

A semi-Lagrangian meshfree Galerkin method for convection-dominated partial differential equations ⋮ Error estimates for semi-Lagrangian finite difference methods applied to Burgers' equation in one dimension ⋮ HJB and Fokker-Planck equations for river environmental management based on stochastic impulse control with discrete and random observation ⋮ A Three-Dimensional Monotonicity-Preserving Modified Method of Characteristics on Unstructured Tetrahedral Meshes

Uses Software

• CLAWPACK
• pchip

Cites Work

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• Piecewise monotone interpolation
• Weighted essentially non-oscillatory schemes
• Moving-mesh methods for one-dimensional hyperbolic problems using CLAWPACK.
• Monge-Ampère based moving mesh methods for numerical weather prediction, with applications to the Eady problem
• Accurate Monotonicity Preserving Cubic Interpolation
• On Shape-Preserving Interpolation and Semi-Lagrangian Transport
• Adaptivity with moving grids
• Monotone Piecewise Cubic Interpolation
• Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
• Finite Volume Methods for Hyperbolic Problems

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