Parametrized Maximum Principle Preserving Limiter for Finite Difference WENO Schemes Solving Convection-Dominated Diffusion Equations

DOI10.1137/130924937zbMath1290.65077OpenAlexW2029957540MaRDI QIDQ5404603

Yi Jiang, Zhengfu Xu

Publication date: 28 March 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130924937

zbMATH Keywords

maximum principlenonlinear convection-diffusion equationporous medium equationCourant-Friedrichs-Lewy conditionLax-Friedrichs schemeincompressible Navier-Stokes equationweighted essentially non-oscillatoryhigh-order finite difference methodTVD Runge-Kutta methodparametrized flux limitersENO/WENO

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Maximum principles in context of PDEs (35B50) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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