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Transient fixed point‐based unstructured mesh adaptation
Author(s) -
Alauzet F.,
George P. L.,
Mohammadi B.,
Frey P.,
Borouchaki H.
Publication year - 2003
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.548
Subject(s) - polygon mesh , hessian matrix , computer science , metric tensor , transient (computer programming) , a priori and a posteriori , metric (unit) , mathematical optimization , intersection (aeronautics) , algorithm , mathematics , geometry , engineering , philosophy , operations management , computer graphics (images) , epistemology , geodesic , aerospace engineering , operating system
This paper deals with adaptive simulation of time‐dependent problems. Mesh adaptation for unsteady configurations is especially important as the phenomenon evolves in the whole computational domain and, in order to capture such a phenomenon accurately on adapted meshes, one has to predict the evolution path. Here, we propose a new adaptive algorithm for time‐dependent simulation; the idea is to solve a transient fixed problem by introducing a new loop in the adaptation scheme. The metric used for 3D simulations is constructed with an a posteriori error estimate based on a discrete approximation of the Hessian of the solution. For time‐dependent simulation, a metric intersection in time is introduced to refine all the areas where the phenomena evolve. Copyright © 2003 John Wiley & Sons, Ltd.