On pitfalls in accuracy verification using time-dependent problems

DOI10.1016/J.JCP.2023.112389arXiv2305.10331OpenAlexW4385147555MaRDI QIDQ6095140

Hiroaki Nishikawa

Publication date: 27 November 2023

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

Full work available at URL: https://arxiv.org/abs/2305.10331

zbMATH Keywords

unstructured gridsfinite volumefinite differencetime dependentmanufactured solutionaccuracy verification

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

• Unnamed Item
• Accuracy-preserving boundary flux quadrature for finite-volume discretization on unstructured grids
• Notes on accuracy of finite-volume discretization schemes on irregular grids
• An efficient correction method to obtain a formally third-order accurate flow solver for node-centered unstructured grids
• A method for reducing dispersion in convective difference schemes
• Strong Stability-Preserving High-Order Time Discretization Methods
• Verification of Euler/Navier–Stokes codes using the method of manufactured solutions

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