Benchmark spectral results on the lid-driven cavity flow

被引:459
作者
Botella, O
Peyret, R
机构
[1] Univ Nice, Lab JA Diendonne, CNRS URM 6621, F-06108 Nice 2, France
[2] INRIA, F-06902 Sophia Antipolis, France
关键词
D O I
10.1016/S0045-7930(98)00002-4
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Highly-accurate solutions for the lid-driven cavity flow are computed by a Chebyshev collocation method. Accuracy of the solution is achieved by using a substraction method of the leading terms of the asymptotic expansion of the solution of the Navier-Stokes equations in the vicinity of the corners, where the velocity is discontinuous. Critical comparison with former numerical experiments confirms the high-accuracy of the method, and extensive results for the flow at Reynolds number Re = 1000 are presented. (C) 1998 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:421 / 433
页数:13
相关论文
共 24 条
[1]   Stream function-vorticity driven cavity solution using p finite elements [J].
Barragy, E ;
Carey, GF .
COMPUTERS & FLUIDS, 1997, 26 (05) :453-468
[2]  
Batchelor G., 2000, CAMBRIDGE MATH LIB
[3]   On the solution of the Navier-Stokes equations using Chebyshev projection schemes with third-order accuracy in time [J].
Botella, O .
COMPUTERS & FLUIDS, 1997, 26 (02) :107-116
[4]  
BOTELLA O, 1996, 3018 INRIA
[5]  
BOTELLA O, IN PRESS COMPUTING S
[6]  
BOTELLA O, 1997, P 3 SUMM C NUM MOD C
[7]  
BOURCIER M, 1969, RECH AEROSPATIALE, P23
[8]  
Boyd J, 1996, P 3 INT C SPECTR HIG, P267
[9]   AN EFFICIENT SCHEME FOR SOLVING STEADY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].
BRUNEAU, CH ;
JOURON, C .
JOURNAL OF COMPUTATIONAL PHYSICS, 1990, 89 (02) :389-413
[10]   ANALYTICAL AND NUMERICAL STUDIES OF STRUCTURE OF STEADY SEPARATED FLOWS [J].
BURGGRAF, OR .
JOURNAL OF FLUID MECHANICS, 1966, 24 :113-&