Criteria for the design of limiters yielding efficient high resolution TVD schemes

DOI10.1016/S0045-7930(97)00045-5zbMath0911.76066OpenAlexW2069346549MaRDI QIDQ1129607

Sophie Depeyre, Serge Piperno

Publication date: 9 May 1999

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

Full work available at URL: https://doi.org/10.1016/s0045-7930(97)00045-5

zbMATH Keywords

iterative convergencemonotonicity preservationMUSCLscalar hyperbolic conservation lawsfinite-volume conservative schemesinviscid flow around NACA0012 airfoilnonlinear interpolation limitersnumerical flux functions

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20)

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Cites Work

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• High resolution schemes for hyperbolic conservation laws
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• A class of implicit upwind schemes for Euler simulations with unstructured meshes
• Approximate Riemann solvers, parameter vectors, and difference schemes
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
• Upwind discretization of the steady Navier-Stokes equations
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• On the Accuracy of Stable Schemes for 2D Scalar Conservation Laws
• Multigrid Solution of Monotone Second-Order Discretizations of Hyperbolic Conservation Laws
• On finite-difference approximations and entropy conditions for shocks