Computer Methods in Applied Mechanics and Engineering
An adaptive finite element scheme for transient problems in CFD
Computer Methods in Applied Mechanics and Engineering
Implementation of an adaptive refinement technique for the SUPG algorithm
Computer Methods in Applied Mechanics and Engineering
Adaptive remeshing for compressible flow computations
Journal of Computational Physics
The h-p adaptive finite element method for the numerical simulation of compressible flow
Computer Methods in Applied Mechanics and Engineering
Studies on computation reentry aerodynamics
Computer Methods in Applied Mechanics and Engineering
Efficient data structures for adaptive remeshing with the FEM
Journal of Computational Physics
An h–p Taylor—Galerkin finite method for compressible Euler equations
Computer Methods in Applied Mechanics and Engineering
A new procedure for dynamic adaption of three-dimensional unstructured grids
Applied Numerical Mathematics
Computing
Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
The multilevel finite element method for adaptive mesh optimization and visualization of volume data
VIS '97 Proceedings of the 8th conference on Visualization '97
A 3D refinement/derefinement algorithm for solving evolution problems
Applied Numerical Mathematics - Special issue on numerical grid generation-technologies for advanced simulations
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The numerical simulation of incompressible viscous flows, using finite elements with automatic adaptive unstructured meshes and the pseudo-compressibility hypothesis, is presented in this work. Special emphasis is given to the automatic adaptive process of unstructured meshes with linear tetrahedral elements in order to get more accurate solutions at relatively low computational costs. The behaviour of the numerical solution is analyzed using error indicators to detect regions where some important physical phenomena occur. An adaptive scheme, consisting in a mesh refinement process followed by a nodal re-allocation technique, is applied to the regions in order to improve the quality of the numerical solution. The error indicators, the refinement and nodal re-allocation processes as well as the corresponding data structure (to manage the connectivity among the different entities of a mesh, such as elements, faces, edges and nodes) are described. Then, the formulation and application of a mesh adaptation strategy, which includes a refinement scheme, a mesh smoothing technique, very simple error indicators and an adaptation criterion based in statistical theory, integrated with an algorithm to simulate complex two and three dimensional incompressible viscous flows, are the main contributions of this work. Two numerical examples are presented and their results are compared with those obtained by other authors.