A CONTROL VOLUME-BASED FINITE-ELEMENT METHOD FOR SOLVING THE NAVIER-STOKES EQUATIONS USING EQUAL-ORDER VELOCITY-PRESSURE INTERPOLATION
作者： C. Prakash , S. V. Patankar
DOI: 10.1080/01495728508961854
关键词:
摘要: A control volume-based finite-element method for solving the Navier-Stokes equations using equal-order velocity-pressure interpolation is presented. Unlike unequal-order-type methods that compute pressure at much fewer grid points than velocity, proposed calculates velocity and all in domain. The validity of established by applying it to solve some test problems
harvard.edu
sci-hub.se 参考文章(19)
D.K. Gartling, E.B. Becker, Finite element analysis of viscous, incompressible fluid flow Computer Methods in Applied Mechanics and Engineering. ,vol. 8, pp. 51- 60 ,(1976) , 10.1016/0045-7825(76)90052-9
Hermann Schlichting, Boundary layer theory ,(1955)
B. R. Baliga, T. T. Pham, S. V. Patankar, SOLUTION OF SOME TWO-DIMENSIONAL INCOMPRESSIBLE FLUID FLOW AND HEAT TRANSFER PROBLEMS, USING A CONTROL VOLUME FINITE-ELEMENT METHOD Numerical Heat Transfer Part A-applications. ,vol. 6, pp. 263- 282 ,(1983) , 10.1080/01495728308963087
Ralph Ta-shun Cheng, Numerical Solution of the Navier-Stokes Equations by the Finite Element Method Physics of Fluids. ,vol. 15, pp. 2098- 2105 ,(1972) , 10.1063/1.1693841
J.C. Heinrich, R.S. Marshall, Viscous incompressible flow by a penalty function finite element method Computers & Fluids. ,vol. 9, pp. 73- 83 ,(1981) , 10.1016/0045-7930(81)90034-7
P.S. Huyakorn, C. Taylor, R.L. Lee, P.M. Gresho, A comparison of various mixed-interpolation finite elements in the velocity-pressure formulation of the Navier-Stokes equations Computers & Fluids. ,vol. 6, pp. 25- 35 ,(1978) , 10.1016/0045-7930(78)90004-X
T. J. Chung, D. M. Kuzo, Finite Element Analysis in Fluid Dynamics Journal of Dynamic Systems, Measurement, and Control. ,vol. 100, pp. 347- 347 ,(1978) , 10.1115/1.3426389
B. R. Baliga, S. V. Patankar, A NEW FINITE-ELEMENT FORMULATION FOR CONVECTION-DIFFUSION PROBLEMS Numerical Heat Transfer. ,vol. 3, pp. 393- 409 ,(1980) , 10.1080/01495728008961767
R. L. Sani, P. M. Gresho, R. L. Lee, D. F. Griffiths, The cause and cure (!) of the spurious pressures generated by certain fem solutions of the incompressible Navier‐Stokes equations: Part 2 International Journal for Numerical Methods in Fluids. ,vol. 1, pp. 17- 43 ,(1981) , 10.1002/FLD.1650010104
Alexander N. Brooks, Thomas J.R. Hughes, Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations Computer Methods in Applied Mechanics and Engineering. ,vol. 32, pp. 199- 259 ,(1990) , 10.1016/0045-7825(82)90071-8