Verification of fluid-dynamic codes in the presence of shocks and other discontinuities

DOI10.1016/j.jcp.2015.03.055zbMath1349.76158OpenAlexW2087342035MaRDI QIDQ350008

C. Nathan Woods, Ryan P. Starkey

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.03.055

zbMATH Keywords

verificationshock-capturingdiscontinuity propagationintegrative manufactured solutionsmanufactured solutionsweak manufactured solutions

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)

Related Items (1)

On the application of higher-order backward difference (BDF) methods for computing turbulent flows

Uses Software

• SymPy
• SciPy
• Python
• NUMERICA
• SENSEI
• MASA

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical integration techniques for discontinuous manufactured solutions
• On sub-linear convergence for linearly degenerate waves in capturing schemes
• Remarks on algorithm 006: An adaptive algorithm for numerical integration over an N-dimensional rectangular region
• Review of code and solution verification procedures for computational simulation
• Order of convergence of second order schemes based on the minmod limiter
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• An adaptive algorithm for the approximate calculation of multiple integrals
• The Optimal Convergence Rate of Monotone Finite Difference Methods for Hyperbolic Conservation Laws

This page was built for publication: Verification of fluid-dynamic codes in the presence of shocks and other discontinuities