NEW FINITE-ELEMENT RESULTS FOR THE SQUARE CAVITY

被引：26

作者：

OLSON, MD

TUANN, SY

机构：

[1] Department of Civil Engineering, University of British Columbia, Vancouver, BC

来源：

COMPUTERS & FLUIDS | 1979年 / 7卷 / 02期

关键词：

D O I：

10.1016/0045-7930(79)90028-8

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

New results for the recirculating flow inside a square cavity obtained by a finite element method are presented. The full Navier-Stokes equations in the form of a single, fourth order equation for stremfunction is recast into arestricted variational principles, which form finite element discretization. A triangular element with Hermitian interpolation is used, such that the velocities are continuous and the incompressibility is satisfied exactly. The resulting nonlinear system is solved by Newton-Raphson iteration. Calculations are carried out with several gridworks of progressive show: (1) the convergence of solutions with refinement for fixed Reynolds number R; and (2) the loss of accuracy with R for fixed gridwork. The range of R covered is from 10-4 to 3450. The features illustrated include the enlargement of the inviscid core of rigid rotation, the intensification of primary and secondary vortices and the appearance of a third secondary vortex near the upper upstream corner at R =1500. © 1979.

引用

页码：123 / 135

页数：13

共 13 条

[1]

Burggraf, Analytical and numerical studies of the structure of steady separated flows, Journal of Fluid Mechanics, 24, (1966)

[2]

Greenspan, Numerical studies of prototype cavity flow problems, Compt. J., 12, (1969)

[3]

Gosman, Pan, Runchal, Spalding, Wolfshtein, Heat and Mass Transfer in Recirculating Flows, (1969)

[4]

Bozeman, Dalton, Numerical study of viscous flow in a cavity, J. Comp. Phys., 12, (1973)

[5]

de Vahl Davis, Mallinson, An evaluation of upwind and central difference approximations by a study of recirculting flow, Compt. Fluids, 4, (1976)

[6]

Roache, Recent development and problem areas in computational fluid dynamics, Comp. Mech., (1975)

[7]

Tuan, Olson, Review of computing methods for recirculating flows, J. Compt. Phys., 29, (1978)

[8]

Tuann, Olson, Studies of rectangular cavity flow with Reynolds number by a finite element method, UBC Civil Engng Struc. Res. Ser. Rept. 19, (1977)

[9]

Olson, A variational finite element method for two-dimensional steady viscous flow, Proc. McGill-EIC Conf. on FEM in Civil Engng., (1972)

[10]

Tuann, Olson, Numerical studies of the flow around a circular cylinder by a finite element method, UBC Civil Engng Struc. Res. Ser. Rept. 16, (1976)

← 1 2 →