최소 단어 이상 선택하여야 합니다.
최대 10 단어까지만 선택 가능합니다.
다음과 같은 기능을 한번의 로그인으로 사용 할 수 있습니다.
NTIS 바로가기International journal for numerical methods in fluids, v.65 no.9, 2011년, pp.1096 - 1114
Zogheib, B. (Division of Mathematics, Science and Technology, Nova Southeastern University, 3301 College Ave., Fort Lauderdale‐) , Barron, R. M. (Davie, FL 33314‐)
AbstractA new numerical procedure for solving the two‐dimensional, steady, incompressible, viscous flow equations on a staggered Cartesian grid is presented in this paper. The proposed methodology is finite difference based, but essentially takes advantage of the best features of two well̴...
1 Miller TF , Schmidt FW . Use of a pressure‐weighted interpolation method for the solution of the incompressible Navier–Stokes equations on a non‐staggered grid system . Numerical Heat Transfer 1988 ; 14 : 213 – 233 .
2 Thiart GD . Finite difference schemes for the numerical solution of fluid flow and heat transfer problems on nonstaggered grids . Numerical Heat Transfer, Part B 1990 ; 17 : 43 – 62 .
3 Barton IE , Kirby R . Finite difference scheme for the solution of fluid flow problems on non‐staggered grids . International Journal for Numerical Methods in Fluids 2000 ; 33 : 939 – 959 .
4 Tian Z , Ge Y . A fourth‐order compact finite difference scheme for the steady stream function‐vorticity formulation of the Navier–Stokes/Boussinesq equations . International Journal for Numerical Methods in Fluids 2003 ; 41 : 495 – 518 .
5 Ben‐Artzi M , Croisille J‐P , Fishelov D , Trachtenberg S . A pure‐compact scheme for the streamfunction formulation of Navier–Stokes equations . Journal of Computational Physics 2005 ; 205 : 640 – 664 .
6 De AK , Eswaran K . A high‐order accurate method for two‐dimensional incompressible viscous flows . International Journal for Numerical Methods in Fluids 2007 ; 53 : 1613 – 1628 .
7 Zhu B . Finite volume solution of the Navier–Stokes equations in velocity–vorticity formulation . International Journal for Numerical Methods in Fluids 2005 ; 48 : 607 – 629 .
8 Patankar SV , Spalding DB . A calculation procedure for heat and mass transfer in three dimensional parabolic flows . International Journal of Heat and Mass Transfer 1972 ; 15 : 1787 – 1806 .
9 Ghia KN , Sokhey JS . Laminar incompressible viscous flow in curved ducts of rectangular cross sections . Journal of Fluids Engineering 1977 ; 99 : 640 – 645 .
10 Briley WR , McDonald H . Analysis and computation of viscous subsonic primary and secondary flows . AIAA Paper 79‐1453, 1979 .
11 Johnston H , Liu JG . Finite difference schemes for incompressible flow based on local pressure boundary condition . Journal of Computational Physics 2002 ; 180 : 120 – 154 .
12 Strikwerda JC . High order‐accurate schemes for incompressible viscous flow . International Journal for Numerical Methods in Fluids 1997 ; 24 : 715 – 734 .
13 Zhang KKQ , Shotorban B , Minkowycz WJ , Mashayek F . A compact finite difference method on staggered grid for Navier–Stokes flows . International Journal for Numerical Methods in Fluids 2006 ; 52 : 867 – 881 .
14 Chorin AJ . A numerical method for solving incompressible viscous flow problems . Journal of Computational Physics 1967 ; 2 : 12 – 26 .
15 Kim J , Moin P . Application of a fractional‐step method to incompressible Navier–Stokes equations . Journal of Computational Physics 1985 ; 59 : 308 – 323 .
16 Hirt CW , Nichols BD , Romero NC . SOLA—a numerical solution algorithm for transient fluid flow . Los Alamos Scientific Laboratory Report, LA 5852, 1975 .
17 Tia CH , Zhao Y . A finite volume unstructured multigrid method for efficient computation of unsteady incompressible viscous flows . International Journal for Numerical Methods in Fluids 2004 ; 46 : 59 – 84 .
18 Merkle CL , Athavale M . Time‐accurate unsteady incompressible flow algorithm based on artificial compressibility . AIAA Paper 87‐1137, 1987 .
19 Patankar S . A calculation procedure for two‐dimensional elliptic situations . Numerical Heat Transfer 1981 ; 4 : 409 – 425 .
20 Harlow FH , Welch JE . Numerical calculations of time‐dependent viscous incompressible flow of fluid with free surface . Physics of Fluids 1965 ; 8 : 2182 – 2189 .
21 Patankar S . Numerical Heat Transfer and Fluid Flow . Hemisphere : New York , 1980 .
22 Versteeg HK , Malalasekera W . An Introduction to Computational Fluid Dynamics: The Finite Volume Approach . Pearson : U.K. , 1995 .
23 Leonard BP . A stable and accurate convective modelling procedure based on quadratic upstream interpolation . Computational Methods in Applied Mechanical Engineering 1979 ; 19 : 59 – 98 .
24 Gaskell PH , Lau AKC . Curvature‐compensated convective transport: SMART, a new boundedness‐preserving transport algorithm . International Journal for Numerical Methods in Fluids 1988 ; 8 : 617 – 641 .
25 Varonos A , Bergeles G . Development and assessment of a variable‐order non‐oscillatory scheme for convection term discretization . International Journal for Numerical Methods in Fluids 1998 ; 26 : 1 – 16 .
26 Alves MA , Oliveira PJ , Pinho FT . A convergent and universally bounded interpolation scheme for the treatment of advection . International Journal for Numerical Methods in Fluids 2003 ; 41 : 47 – 75 .
27 Hirt CW . Heuristic stability theory for finite‐difference equations . Journal of Computational Physics 1968 ; 2 : 339 – 355 .
28 Chung TJ . Computational Fluid Dynamics . Cambridge University Press : U.K. , 2002 .
29 Ferziger JH , Peric M . Computational Methods for Fluid Dynamics ( 3rd edn ). Springer : U.S.A. , 2002 .
30 Schlichting H . Boundary Layer Theory ( 8th edn ). McGraw‐Hill : New York , 2000 .
31 Reggio M , Camarero R . Numerical solution procedure for viscous incompressible flows . Numerical Heat Transfer 1986 ; 10 : 131 – 146 .
32 Armaly BF , Durst F , Pereira JCF , Schonung B . Experimental and theoretical investigation of backward‐facing step flow . Journal of Fluid Mechanics 1983 ; 127 : 473 – 496 .
33 Barton IE . A numerical study of flow over confined backward‐facing step . International Journal for Numerical Methods in Fluids 1995 ; 21 : 653 – 665 .
34 Barber RW , Fonty A . Comparison of vortex‐element and finite‐volume simulations of low Reynolds number flow over a confined backward facing step . Proceedings of the 11th Annual Conference of the CFD Society of Canada, CFD2003, vol. 2, Vancouver, 2003 ; 780 – 787 .
35 CFD Research Corporation . User Manual: Version 6.4. Cummings Research Park, Huntsville, Alabama, U.S.A., 2000 .
36 Fluent Inc. FLUENT User Manual: Version 6. Lebanon, NH, U.S.A.
37 Ghia U , Ghia KN , Shin CT . High‐Re solutions for incompressible flow using the Navier–Stokes equations and a multigrid method . Journal of Computational Physics 1982 ; 48 : 387 – 411 .
*원문 PDF 파일 및 링크정보가 존재하지 않을 경우 KISTI DDS 시스템에서 제공하는 원문복사서비스를 사용할 수 있습니다.
※ AI-Helper는 부적절한 답변을 할 수 있습니다.