A DIRECTIONALLY ADAPTIVE METHODOLOGY USING AN EDGE-BASED ERROR ESTIMATE ON QUADRILATERAL GRIDS

DOI<673::AID-FLD471>3.0.CO;2-P 10.1002/(SICI)1097-0363(19961015)23:7<673::AID-FLD471>3.0.CO;2-PzbMath0884.76036OpenAlexW1965986107MaRDI QIDQ4355461

No author found.

Publication date: 1 April 1998

Full work available at URL: https://doi.org/10.1002/(sici)1097-0363(19961015)23:7<673::aid-fld471>3.0.co;2-p

zbMATH Keywords

Riemannian metricHessian tensorstructured gridsspring analogyimproved mesh movement strategy

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Hypersonic flows (76K05)

Related Items

A new methodology for anisotropic mesh refinement based upon error gradients, Numerical study of the effectivity index for an anisotropic error indicator based on Zienkiewicz-Zhu error estimator, Using the medial axis to represent flow features for feature-aligned unstructured quad-dominant mesh generation, Unnamed Item, Optimal multi-block mesh generation for CFD, Metric tensors for the interpolation error and its gradient in \(L^p\) norm, A priori and a posteriori error analysis for a large-scale ocean circulation finite element model., Fast equal and biased distance fields for medial axis transform with meshing in mind, Adaptive finite elements with large aspect ratio based on an anisotropic error estimator involving first order derivatives, Anisotropic adjoint sensitivity-based mesh movement for industrial applications, Adaptive mesh generation for fluid mechanics problems, Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. Part I: general principles, SOLUTION-BASED MESH QUALITY INDICATORS FOR TRIANGULAR AND TETRAHEDRAL MESHES, A review and comparative study of upwind biased schemes for compressible flow computation. III: Multidimensional extension on unstructured grids., Anisotropic mesh adaptation for 3D flows on structured and unstructured grids, Stability of discretizations of the Stokes problem on anisotropic meshes

Cites Work

• Adaptive remeshing for compressible flow computations
• A two-dimensional FEM adaptive moving-node method for steady Euler flow simulations
• Unstructured multigridding by volume agglomeration: Current status
• A finite-volume, adaptive grid algorithm applied to planetary entry flowfields
• Three-dimensional unstructured multigrid for the Euler equations