ADAPTIVE COMPUTATION, GRID SMOOTHNESS AND NUMERICAL BOUNDARY TREATMENT FOR RECIRCULATING NAVIER-STOKES FLOWS.

Wei Shyy*

*Corresponding author for this work

Research output: Contribution to journalJournal Articlepeer-review

Abstract

A numerical study has been conducted to investigate the issues of adaptive grid computation and its interaction with numerical boundary positions. An algorithm has been developed that employs both the grid redistribution and grid addition procedures based on the equidistribution concept. The weight function contains the contributions from the grid smoothness and the gradient of flow variables. Both laminar and turbulent recirculating flows in two dimensions have been calculated with a wide range of grids, from 2 multiplied by 10**2 to 2 multiplied by 10**4 grids. An a posteriori error measure indicates that the adaptive grid solution can be more accurate than those on uniform grids of ten times more nodal points. It appears that the precisely defined ratio between the smoothness and velocity gradients is not necessary for constructing the weighting function as long as a reasonable balance of these two aspects is maintained. As to the finite difference operator, both the first- and second-order accurate operators can yield accurate results provided that the grid size is sufficient and adaptively adjusted.

Original languageEnglish
Pages (from-to)139-153
Number of pages15
JournalJournal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao
Volume8
Issue number3
Publication statusPublished - Jun 1987
Externally publishedYes

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