A high-order adaptive numerical method for recirculating flows at large Reynolds number

Sun Chul Kim; June Yub Lee

doi:10.1016/S0377-0427(99)00101-6

A high-order adaptive numerical method for recirculating flows at large Reynolds number

Sun Chul Kim, June Yub Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A numerical method is constructed for two-dimensional Navier-Stokes flows in a circular domain. Adaptive computational grids are employed to resolve the boundary layer and the boundary vorticity values are obtained in high order of accuracy. Numerical results show a quite good agreement with the asymptotic expansion calculation (Kim, SIAM J. Appl. Math. 58(5) (1998) 1394-1413). Extension to general shape domains is briefly addressed.

Original language	English
Pages (from-to)	75-86
Number of pages	12
Journal	Journal of Computational and Applied Mathematics
Volume	108
Issue number	1-2
DOIs	https://doi.org/10.1016/S0377-0427(99)00101-6
State	Published - 15 Aug 1999

Keywords

Adaptive method
Navier-Stokes equation
Stream function
Vorticity

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10.1016/S0377-0427(99)00101-6

Cite this

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title = "A high-order adaptive numerical method for recirculating flows at large Reynolds number",

abstract = "A numerical method is constructed for two-dimensional Navier-Stokes flows in a circular domain. Adaptive computational grids are employed to resolve the boundary layer and the boundary vorticity values are obtained in high order of accuracy. Numerical results show a quite good agreement with the asymptotic expansion calculation (Kim, SIAM J. Appl. Math. 58(5) (1998) 1394-1413). Extension to general shape domains is briefly addressed.",

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T1 - A high-order adaptive numerical method for recirculating flows at large Reynolds number

AU - Kim, Sun Chul

AU - Lee, June Yub

PY - 1999/8/15

Y1 - 1999/8/15

N2 - A numerical method is constructed for two-dimensional Navier-Stokes flows in a circular domain. Adaptive computational grids are employed to resolve the boundary layer and the boundary vorticity values are obtained in high order of accuracy. Numerical results show a quite good agreement with the asymptotic expansion calculation (Kim, SIAM J. Appl. Math. 58(5) (1998) 1394-1413). Extension to general shape domains is briefly addressed.

AB - A numerical method is constructed for two-dimensional Navier-Stokes flows in a circular domain. Adaptive computational grids are employed to resolve the boundary layer and the boundary vorticity values are obtained in high order of accuracy. Numerical results show a quite good agreement with the asymptotic expansion calculation (Kim, SIAM J. Appl. Math. 58(5) (1998) 1394-1413). Extension to general shape domains is briefly addressed.

KW - Adaptive method

KW - Navier-Stokes equation

KW - Stream function

KW - Vorticity

UR - https://www.scopus.com/pages/publications/0032846351

U2 - 10.1016/S0377-0427(99)00101-6

DO - 10.1016/S0377-0427(99)00101-6

M3 - Article

AN - SCOPUS:0032846351

SN - 0377-0427

VL - 108

SP - 75

EP - 86

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1-2

ER -

A high-order adaptive numerical method for recirculating flows at large Reynolds number

Abstract

Keywords

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