High-order upwind method for hyperbolic grid generation

DOI10.1016/S0045-7930(98)00054-1zbMath0968.76060OpenAlexW1989580187WikidataQ126421453 ScholiaQ126421453MaRDI QIDQ1975633

Kenichi Matsuno

Publication date: 18 September 2001

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7930(98)00054-1

zbMATH Keywords

characteristic directionshyperbolic grid generationminmod limitersharp edgesbodies of complex geometryhigh-order accurate upwind approximationhigh-order accurate upwind schemehigh-order TVD upwind schemeMUSCL interpolationthree-point backward difference scheme

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Cites Work

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• Enhancements of a three-dimensional hyperbolic grid generation scheme
• Constructing orthogonal curvilinear meshes by solving initial value problems
• Rational Runge-Kutta methods for solving systems of ordinary differential equations
• A geometric interpretation of hyperbolic grid generation
• A novel hyperbolic grid generation procedure with inherent adaptive dissipation
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Efficiency and accuracy of time-accurate turbulent Navier-Stokes computations
• Generation of Body-Fitted Coordinates Using Hyperbolic Partial Differential Equations
• Three-dimensional hyperbolic grid generation with inherent dissipation and Laplacian smoothing

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