Hybrid Fourier-continuation method and weighted essentially non-oscillatory finite difference scheme for hyperbolic conservation laws in a single-domain framework

DOI10.1007/s10915-014-9913-2zbMath1326.65109OpenAlexW2083257271MaRDI QIDQ887000

Zhen Gao, Peng Li, Wai-Sun Don, Shu-Sen Xie

Publication date: 27 October 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-014-9913-2

zbMATH Keywords

numerical examplesingular value decompositionfinite difference schemefast Fourier transformhyperbolic conservation lawweighted essentially non-oscillatorymulti-resolutionsymmetry preservationFourier continuationdouble Mach reflectionMach 3 shock-density wave interactionmulti-resolution algorithmRiemann initial value problems

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (10)

On the proper setup of the double Mach reflection as a test case for the resolution of gas dynamics codes ⋮ Hybrid Compact-WENO Finite Difference Scheme with Radial Basis Function Based Shock Detection Method for Hyperbolic Conservation Laws ⋮ A RBF-WENO finite volume method for hyperbolic conservation laws with the monotone polynomial interpolation method ⋮ Seventh and ninth orders characteristic-wise alternative WENO finite difference schemes for hyperbolic conservation laws ⋮ A domain decomposition Fourier continuation method for enhanced \(L_1\) regularization using sparsity of edges in reconstructing Fourier data ⋮ High Order Hybrid Weighted Compact Nonlinear Schemes for Hyperbolic Conservation Laws ⋮ Radial basis function ENO and WENO finite difference methods based on the optimization of shape parameters ⋮ Hybrid Compact-WENO Finite Difference Scheme with Conjugate Fourier Shock Detection Algorithm for Hyperbolic Conservation Laws ⋮ An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws ⋮ Adaptive moving mesh central-upwind schemes for hyperbolic system of PDEs: applications to compressible Euler equations and granular hydrodynamics

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