Multidimensional Least Squares Fluctuation Distribution Schemes with Adaptive Mesh Movement for Steady Hyperbolic Equations

DOI10.1137/S1064827500370202zbMath1008.76048OpenAlexW2003294407MaRDI QIDQ2780590

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Publication date: 15 April 2002

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

Full work available at URL: https://doi.org/10.1137/s1064827500370202

zbMATH Keywords

iterationdiscontinuous solutionsleast squareshyperbolic equationscompressible Euler equationsmesh movementshock fittingfluctuation distributionleast squares methodssteady conservation lawsfinite volume fluctuation distributionscalar advection problemshallow water channel flow

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15)

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Implicit shock tracking for unsteady flows by the method of lines ⋮ A robust, high-order implicit shock tracking method for simulation of complex, high-speed flows ⋮ An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions ⋮ Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method ⋮ High-order implicit shock tracking (HOIST)

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