Non-systematic grid refinement procedures for computational fluid dynamics

DOI10.1016/J.AMC.2013.10.022zbMath1334.76123OpenAlexW2044191653MaRDI QIDQ275865

E. M. Wahba

Publication date: 26 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.10.022

zbMATH Keywords

verificationerror estimationgrid refinementasymptotic convergencecell aspect ratio

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Basic methods in fluid mechanics (76M99)

Cites Work

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• Multiplicity of states for two-sided and four-sided lid driven cavity flows
• On problems associated with grid convergence of functionals
• Numerical error estimation for nonlinear hyperbolic PDEs via nonlinear error transport
• A fourth-order Poisson solver
• Some observations on grid convergence
• Review of code and solution verification procedures for computational simulation
• Benchmark spectral results on the lid-driven cavity flow
• Steady flow simulations inside a driven cavity up to Reynolds number 35,000
• Comprehensive code verification techniques for finite volume CFD codes
• A single cell high order scheme for the convection-diffusion equation with variable coefficients
• The post-processing approach in the finite element method—Part 3:A posteriori error estimates and adaptive mesh selection

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