CO-LOCATED EQUAL-ORDER CONTROL-VOLUME FINITE-ELEMENT METHOD FOR MULTIDIMENSIONAL, INCOMPRESSIBLE, FLUID-FLOW .1. FORMULATION

被引：87
作者：
SAABAS, HJ [1 ]
BALIGA, BR [1 ]
机构：
[1] MCGILL UNIV, DEPT MECH ENGN, 817 SHERBROOKE ST W, MONTREAL, PQ H3A 2K6, CANADA
来源：
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS | 1994年 / 26卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1080/10407799408914936
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
A co-located equal-order control-volume-based finite-element method (CVFEM) for two- and three-dimensional, incompressible, viscous fluid flow is presented. The method works directly with the primitive variables. Triangular elements and polygonal control volumes, and tetrahedral elements and polyhedral control volumes are used to discretize the calculation domains in two- and three-dimensional problems, respectively. Two available flow-oriented upwind schemes (FLO and FLOS) and a novel mass-weighted skew upwind scheme (MAW) are investigated. In each element, the velocity components in the mass flux terms are interpolated by special functions that prevent the generation of spurious pressure oscillations. The discretized equations are solved using an iterative sequential variable adjustment algorithm. Verification of the proposed CVFEM is presented in a companion article.
引用
收藏
页码：381 / 407
页数：27
相关论文
共 55 条
[31]  
PRAKASH C, 1985, NUMER HEAT TRANSFER, V8, P259, DOI 10.1080/01495728508961854
[32]  
Prakash C., 1981, THESIS U MINNESOTA M THESIS U MINNESOTA M
[33]  
Raithby G. D., 1976, Computer Methods in Applied Mechanics and Engineering, V9, P153, DOI 10.1016/0045-7825(76)90058-X
[34]   PREDICTION OF HEAT AND FLUID-FLOW IN COMPLEX GEOMETRIES USING GENERAL ORTHOGONAL COORDINATES [J].
RAITHBY, GD ;
GALPIN, PF ;
VANDOORMAAL, JP .
NUMERICAL HEAT TRANSFER, 1986, 9 (02) :125-142
[35]  
RAMADHYANI S, 1979, THESIS U MINNESOTA M
[36]  
Raw M. J., 1985, THESIS U WATERLOO WA
[37]  
RHIE CM, 1983, AIAA J, V21, P1525, DOI 10.2514/3.8284
[38]   AN EQUAL-ORDER VELOCITY-PRESSURE FORMULATION THAT DOES NOT EXHIBIT SPURIOUS PRESSURE MODES [J].
RICE, JG ;
SCHNIPKE, RJ .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1986, 58 (02) :135-149
[39]  
Roache P. J., 1976, COMPUTATIONAL FLUID
[40]   CO-LOCATED EQUAL-ORDER CONTROL-VOLUME FINITE-ELEMENT METHOD FOR MULTIDIMENSIONAL, INCOMPRESSIBLE, FLUID-FLOW .2. VERIFICATION [J].
SAABAS, HJ ;
BALIGA, BR .
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 1994, 26 (04) :409-424
123456