A coupled finite volume solver for the solution of incompressible flows on unstructured grids

Journal of Computational Physics

Volumn 228, Issue 1, 2009, Pages 180-201

  Darwish, M ^a   Sraj, I ^a   Moukalled, F ^a  

^a AMERICAN UNIVERSITY OF BEIRUT   (Lebanon)

Author keywords

Acceleration techniques; Coupled solver; Finite volume method; Pressure based method; Segregated solver

Indexed keywords

ACCELERATION; ASPECT RATIO; COSTS; INCOMPRESSIBLE FLOW; LAMINAR FLOW;

ACCELERATION TECHNIQUE; COMPUTATIONAL COSTS; COUPLED SOLVER; CPU TIME; FINITE-VOLUME METHOD; FLOW PROBLEMS; NUMBER OF ITERATIONS; PRESSURE-BASED METHOD; SEGREGATED SOLVERS; UNSTRUCTURED GRID;

FINITE VOLUME METHOD;

EID: 55549133239     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.08.027     Document Type: Article

References (39)

1. Moukalled F., and Darwish M. A high resolution pressure-based algorithm for fluid flow at all speeds. Journal of Computational Physics 169 1 (2001) 101-133
2. Rodi W., Majumdar S., and Schonung B. Finite volume methods for two-dimensional incompressible flows with complex boundaries. Computer Methods in Applied Mechanics and Engineering 75 (1989) 369-392
3. Moukalled F., and Darwish M. Pressure-based algorithms for single-fluid and multifluid flows. In: Minkowycz W.J., Sparrow E.M., and Murthy J.Y. (Eds). Handbook of Numerical Heat Transfer. second ed. (2006), Wiley 325-367
4. Deng G.B., Piquet J., Vasseur X., and Visonneau M. A new fully coupled method for computing turbulent flows. Computers and Fluids 30 (2001) 445-472
5. Webster R. An algebraic multigrid solver for Navier-Stokes problems. International Journal for Numerical Methods in Fluids 18 (1994) 761-780
6. Hanby R.F., and Silvester D.J. A comparison of coupled and segregated iterative solution techniques for incompressible swirling flow. International Journal for Numerical Methods in Fluids 22 (1996) 353-373
7. Harlow F.H., and Welch J.E. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Physics of Fluids 8 (1965) 2182-2189
8. Chorin A.J. Numerical solution of the Navier-Stokes equation. Mathematics of Computation 22 (1971) 745-762
9. Patankar S.V., and Spadling D.B. A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. International Journal of Heat and Mass Transfer 15 (1972) 1787-1806
10. Moukalled F., and Darwish M. A unified formulation of the segregated class of algorithms for fluid flow at all speeds. Numerical Heat Transfer, Part B 37 1 (2000) 103-139
11. Rhie C.M., and Chow W.L. A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation. AIAA Journal 21 (1983) 1525-1532
12. Schneider G.E., Raithby G.D., and Yonavovich M.M. Finite element analysis of incompressible fluid flow incorporating equal order pressure and velocity interpolation. In: Taylor C., Morgan K., and Brebbia C.A. (Eds). Numerical Methods in Laminar and Turbulent Flow (1978), Pentech Press, London
13. Brufau P., and Garci{dotless}́a-Navarro P. Unsteady free surface flow simulation over complex topography with a multidimensional upwind technique. Journal of Computational Physics 186 2 (2003) 503-526
14. Darwish M., Moukalled F., and Sekar B. A unified formulation of the segregated class of algorithms for multi-fluid flow at all speeds. Numerical Heat Transfer, Part B 40 2 (2001) 99-137
15. Moukalled F., Darwish M., and Sekar B. A high resolution pressure-based algorithm for multi-phase flow at all speeds. Journal of Computational Physics 190 (2003) 550-571
16. Caretto L.S., Curr R.M., and Spalding D.B. Two numerical methods for three-dimensional boundary layers. Computer Methods in Applied Mechanics and Engineering 1 (1972) 39-57
17. Vanka S.P. Block-implicit multigrid solution of Navier-Stokes equations in primitive variables. Journal of Computational Physics 65 1 (1986) 138-158
18. Karki K.C., and Mongia H.C. Evaluation of a coupled solution approach for fluid flow calculations in body fitted co-ordinates. International Journal for Numerical Methods in Fluids 11 (1990) 1-20
19. Braaten, M.E., Development and evaluation of iterative and direct methods for the solution of the equations governing recirculating flows, Ph.D. Thesis, University of Minnesota, May 1985.
20. Mazhar Z. A procedure for the treatment of the velocity-pressure coupling problem in incompressible fluid flow. Numerical Heat Transfer, Part B 39 (2001) 91-100
21. Pascau A., Pérez C., and Serón F.J. A comparison of segregated and coupled methods for the solution of the incompressible Navier-Stokes equations. Communications in Numerical Methods in Engineering 12 (1996) 617-630
22. Galpin P.F., and Raithby G.D. Numerical solution of problems in incompressible fluid flow: treatment of the temperature-velocity coupling. Numerical Heat Transfer 10 (1986) 105-129
23. Ammara I., and Masson C. Development of a fully coupled control-volume finite element method for the incompressible Navier-Stokes equations. International Journal for Numerical Methods in Fluids 44 (2004) 621-644
24. Patankar S.V. Numerical Heat Transfer and Fluid Flow (1981), Hemisphere, NY
25. Van Doormal, J.P., Numerical methods for the solution of incompressible and compressible fluid flows, PhD Thesis, University of Waterloo, Ontario, Canada, 1985.
26. Lonsdale R.D. An algebraic multigrid scheme for solving the Navier-Stokes equations on unstructured meshes. In: Taylor C., Chin J.H., and Homsy G.M. (Eds). Numerical Methods in Laminar and Turbulent Flow vol. 7 (1991), Pineridge Press, Swansea, UK 1432-1442 part 2
27. Darwish M., Sraj I., and Moukalled F. A coupled incompressible flow solver on structured grids. Numerical Heat Transfer, Part B 52 (2007) 353-371
28. Pommerell C., and Fichtner W. Memory aspects and performance of iterative solvers. SIAM Journal of Scientific and Statistical Computing 15 (1994) 460-473
29. Hutchinson B.R., and Raithby G.D. A multigrid method based on the additive correction strategy. Numerical Heat Transfer 9 (1986) 511-537
30. Fedorenko R.P. A relaxation method for solving elliptic difference equations. USSR Computational Mathematics and Mathematical Physics 1 (1962) 1092-1096
31. Poussin F.V. An accelerated relaxation algorithm for iterative solution of elliptic equations. SIAM Journal of Numerical Analysis 5 (1968) 340-351
32. Brandt A. Multi-level adaptive solutions to boundary value problems. Mathematics of Computations 31 138 (1977) 333-390
33. Elias S.R., Stubley G.D., and Raithby G.D. An adaptive agglomeration method for additive correction multigrid. International Journal for Numerical Methods in Engineering 40 (1997) 887-903
34. Hayes R.E., Nandakumar K., and Nasr-El-Din H. Steady laminar flow in a 90 degree planar branch. Computers and Fluids 17 (1989) 537-553
35. Moukalled F., and Darwish M. Natural Convection in a Partitioned Trapezoidal Cavity Heated from the Side. Numerical Heat Transfer, Part A 43 5 (2003) 543-563
36. Darwish M., Moukalled F., and Sekar B. A Robust multi-grid algorithm for multifluid flow at all speeds. International Journal for Numerical Methods in Fluids 41 (2003) 1221-1251
37. Darwish M., and Moukalled F. Normalized variable and space formulation methodology for high-resolution schemes. Numerical Heat Transfer, Part B 26 1 (1994) 79-96
38. Rubin S.G., and Khosla P.K. Polynomial interpolation method for viscous flow calculations. Journal of Computational Physics 27 (1982) 153-168
39. Darwish M., and Moukalled F. The normalized weighting factor method: a novel technique for accelerating the convergence of high-resolution convective schemes. Numerical Heat Transfer, Part B 30 2 (1996) 217-237