A comparison of three error estimation techniques for finite volume solutions of compressible flows

DOI10.1016/S0045-7825(99)00377-1zbMath1003.76054OpenAlexW2022989574MaRDI QIDQ1588051

R. Smith

Publication date: 23 January 2003

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00377-1

zbMATH Keywords

least-squares methoderror estimatessource termsRichardson extrapolationunstructured gridorder of convergencetwo-dimensional Euler equationshigher-order reconstructionfinite volume solutionsflux jumpRoe's flux difference splitting scheme

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (6)

On the use of surface interpolation techniques in generalised finite volume strategies for simulating transport in highly anisotropic porous media. ⋮ Quasi-\textit{a priori} truncation error estimation and higher-order extrapolation for non-linear partial differential equations ⋮ The estimation of truncation error by \(\tau \)-estimation revisited ⋮ Numerical error estimation for nonlinear hyperbolic PDEs via nonlinear error transport ⋮ Error estimation using the error transport equation for finite-volume methods and arbitrary meshes ⋮ A second order finite volume technique for simulating transport in anisotropic media

Cites Work

• Adaptive remeshing for compressible flow computations
• Approximate Riemann solvers, parameter vectors, and difference schemes
• A finite-volume method for the Euler equations on arbitrary Lagrangian- Eulerian grids
• A conservative shock fitting method on unstructured grids
• Nonlinear truncation error analysis of finite difference schemes forthe Euler equations
• A simple error estimator and adaptive procedure for practical engineerng analysis
• Error estimator and adaptive moving grids for finite volumes schemes

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