Accuracy of schemes with nonuniform meshes for compressible fluid flows
Applied Numerical Mathematics - Special issue on numerical methods for the Euler equation
Numerical computation of internal & external flows: fundamentals of numerical discretization
Numerical computation of internal & external flows: fundamentals of numerical discretization
Local adaptive mesh refinement for shock hydrodynamics
Journal of Computational Physics
An adaptive multigrid technique for the incompressible Navier-Stokes equations
Journal of Computational Physics
Numerical treatment of grid interfaces to viscous flow
Journal of Computational Physics
Truncation error analysis of the finite volume method for a model steady convective equation
Journal of Computational Physics
A new adaptive algorithm for turbulent flows
Computers and Fluids
Algebraic mesh quality metrics for unstructured initial meshes
Finite Elements in Analysis and Design
Journal of Computational Physics
Mesh stretch effects on convection in flow simulations
Journal of Computational Physics
Analysis of stability and accuracy of finite-difference schemes on a skewed mesh
Journal of Computational Physics
Smoothing and local refinement techniques for improving tetrahedral mesh quality
Computers and Structures
Journal of Computational Physics
A priori mesh quality metric error analysis applied to a high-order finite element method
Journal of Computational Physics
The estimation of truncation error by τ-estimation revisited
Journal of Computational Physics
Hi-index | 31.46 |
The purpose of the present work is the derivation and evaluation of a priori mesh quality indicators for structured, unstructured, as well as hybrid grids. Emphasis is placed on deriving direct relations between the indicators and mesh distortion. The work is based on use of the finite volume discretization for evaluation of first order spatial derivatives. The analytic form of the truncation error is derived and applied to elementary types of mesh distortion including typical hybrid grid interfaces. The corresponding analytic expressions provide direct relations between computational accuracy and the degree of stretching, skewness, shearing and non-alignment of the mesh.