On the generation of exact solutions for evaluating numerical schemes and estimating discretization error
type: Item
instance of: scholarly article
title: On the generation of exact solutions for evaluating numerical schemes and estimating discretization error
zbMATH Open document ID: 1159.65093
author: Christopher J. Roy
author: Andrew J. Sinclair
published in: Journal of Computational Physics
publication date: 2009-03-09T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 5526462
zbMATH Keywords: exact solution
zbMATH Keywords: discretization error
zbMATH Keywords: spline fit
zbMATH Keywords: defect correction
zbMATH Keywords: computational fluid dynamics
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: numerical examples
zbMATH Keywords: method of nearby problems
zbMATH Keywords: heat conduction
zbMATH Keywords: viscous incompressible flow
zbMATH Keywords: Richardson extrapolation
MaRDI profile type: Publication
full work available at URL: j.jcp.2008.11.008
OpenAlex ID: W1979315019
cites work: Review of code and solution verification procedures for computational simulation
cites work: Anisotropic grid adaptation for functional outputs: application to two-dimensional viscous flows.
cites work: Thirteen ways to estimate global error
cites work: A numerical method for solving incompressible viscous flow problems
cites work: Alternate formulations for the pressure equation Laplacian on a collocated grid for solving the unsteady incompressible Navier-Stokes equations
cites work: The discrete continuity equation in primitive variable solutions of incompressible flow
DOI: 10.1016/J.JCP.2008.11.008
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description: scientific article; zbMATH DE number 5526462