Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws

DOI10.1016/j.jcp.2011.08.024zbMath1370.65040OpenAlexW2124998631MaRDI QIDQ422505

Nathan Albin, Khosro Shahbazi, Oscar P. Bruno, Jan S. Hesthaven

Publication date: 18 May 2012

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://infoscience.epfl.ch/record/190480/files/JCP2302011.pdf

zbMATH Keywords

conservation lawsshock wavesFourier continuation methodshigh-order WENO methodsmulti-resolution methods

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (13)

A RBF-WENO finite volume method for hyperbolic conservation laws with the monotone polynomial interpolation method ⋮ Multi-dimensional hybrid Fourier continuation-WENO solvers for conservation laws ⋮ Hybrid Fourier-continuation method and weighted essentially non-oscillatory finite difference scheme for hyperbolic conservation laws in a single-domain framework ⋮ Robust second-order scheme for multi-phase flow computations ⋮ A Fourier-based methodology without numerical diffusion for conducting dye simulations and particle residence time calculations ⋮ FC-based shock-dynamics solver with neural-network localized artificial-viscosity assignment ⋮ A stable high-order FC-based methodology for hemodynamic wave propagation ⋮ The Fourier approximation of smooth but non-periodic functions from unevenly spaced data ⋮ A domain decomposition Fourier continuation method for enhanced \(L_1\) regularization using sparsity of edges in reconstructing Fourier data ⋮ Radial basis function ENO and WENO finite difference methods based on the optimization of shape parameters ⋮ An FC-based spectral solver for elastodynamic problems in general three-dimensional domains ⋮ High-order finite difference scheme for compressible multi-component flow computations ⋮ A numerical study of the local monotone polynomial edge detection for the hybrid WENO method

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