Is discontinuous reconstruction really a good idea?
type: Item
instance of: scholarly article
title: Is discontinuous reconstruction really a good idea?
zbMATH Open document ID: 1381.65073
published in: Journal of Scientific Computing
publication date: 2018-01-16T00:00:00Z
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 6826605
zbMATH Keywords: hyperbolic conservation laws
zbMATH Keywords: numerical advection
zbMATH Keywords: compressible flow
zbMATH Keywords: wave equations
zbMATH Keywords: finite volume method
zbMATH Keywords: Galerkin method
zbMATH Keywords: gas dynamics
zbMATH Keywords: numerical example
zbMATH Keywords: Euler equations
author: Philip L. Roe
MaRDI profile type: Publication
full work available at URL: s10915-017-0555-z
OpenAlex ID: W2762016897
Wikidata QID: Q59613231
cites work: A Review of Residual Distribution Schemes for Hyperbolic and Parabolic Problems: The July 2010 State of the Art
cites work: A multi-moment finite volume formulation for shallow water equations on unstructured mesh
cites work: An integral evolution formula for the wave equation
cites work: Space-time generalized Riemann problem solvers of order \(k\) for linear advection with unrestricted time step
cites work: Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
cites work: Multidimensional upwind methods for hyperbolic conservation laws
cites work: Q3280274
cites work: Multidimensional upwind schemes based on fluctuation-splitting for systems of conservation laws
cites work: A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems
cites work: Q5558541
cites work: Reminiscences about difference schemes
cites work: High-resolution difference methods with exact evolution for multidimensional waves
cites work: Stabilized methods for compressible flows
cites work: Compact accurately boundary-adjusting high-resolution technique for fluid dynamics
cites work: An analysis of the spectrum of the discontinuous Galerkin method
cites work: Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
cites work: High-Resolution Conservative Algorithms for Advection in Incompressible Flow
cites work: Finite Volume Evolution Galerkin Methods for Hyperbolic Systems
cites work: Optimal multigrid convergence by elliptic/hyperbolic splitting
cites work: A hyperbolic model for viscous Newtonian flows
cites work: Piecewise parabolic method on local stencil for gasdynamic simulations
cites work: Q3686318
cites work: Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics
cites work: Multidimensional Upwinding
cites work: A Simple Explanation of Superconvergence for Discontinuous Galerkin Solutions to ut+ux=0
cites work: Q4952284
cites work: Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
cites work: High‐order CFD methods: current status and perspective
cites work: A high-order hybrid finite difference-finite volume approach with application to inviscid compressible flow problems: a preliminary study
DOI: 10.1007/S10915-017-0555-Z
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description: scientific article; zbMATH DE number 6826605