Open AccessHierarchical elements for the iterative solving of turbulent flow problems on anisotropic meshes
Author(s) -
Bocar Amadou Wane,
J.M. Urquizaa,
A. Fortin,
Dominique Pelletier
Publication year - 2012
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/17797179.2012.702428
Subject(s) - polygon mesh , mathematical optimization , computer science , iterative method , convergence (economics) , anisotropy , mathematics , flow (mathematics) , quadratic equation , algorithm , computational science , geometry , physics , computer graphics (images) , quantum mechanics , economics , economic growth
Accurate solution of industrial turbulent flow problems requires very fine meshes resulting in large systems of non-linear equations and huge computational costs. Efficient iterative methods are therefore necessary. Mesh adaptation, and in particular anisotropic mesh adaptation, allows to reduce considerably meshes size while preserving the accuracy of the solution. Unfortunately, iterative methods and anisotropic meshes do not come along easily and convergence problems may occur. In this work, we show how quadratic elements, expressed in a hierarchical basis, can be used to develop efficient iterative methods for the numerical simulation of turbulent flows on strongly anisotropic meshes.