Premium
Adaptive mesh generation for fluid mechanics problems
Author(s) -
Nithiarasu P.,
Zienkiewicz O. C.
Publication year - 2000
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(20000110/30)47:1/3<629::aid-nme786>3.0.co;2-y
Subject(s) - compressibility , curvature , mathematics , interpolation (computer graphics) , compressible flow , flow (mathematics) , mathematical optimization , fluid mechanics , computer science , incompressible flow , key (lock) , calculus (dental) , motion (physics) , geometry , mechanics , artificial intelligence , physics , computer security , medicine , dentistry
In this study, we give an in depth investigation of the adaptive procedures for compressible and incompressible flow problems. Many tests have been carried out with different error indicators for different problems. These refinement procedures show that the interpolation error indicators are adequate to predict an accurate solution. Comparison between the gradient and curvature‐based error indicators show that the former yields better performance in most situations. However, we found that the latter indicators predict better motion in the recirculatory and unstable regions, than the gradient‐based method. Many test cases have been presented for both compressible and incompressible flow problems. In the later part of the paper, we suggest a simple way of combining the curvature/gradient indicators of different key variables and present an appropriate problem where it is applicable. A wide coverage of relevant literature has also been presented in this paper. Copyright © 2000 John Wiley & Sons, Ltd.