A Second-Order Time-Accurate Finite Volume Method for Unsteady Incompressible Flow on Hybrid Unstructured Grids

Journal of Computational Physics

Volumn 162, Issue 2, 2000, Pages 411-428

  Kim, Dongjoo ^a,b   Choi, Haecheon ^a,b  

^a Seoul National University   (South Korea)

^b Seoul National University   (South Korea)

Author keywords

Finite volume method; Nonstaggered unstructured grid; Unsteady incompressible flow

Indexed keywords

CELLS; CYTOLOGY; INCOMPRESSIBLE FLOW; NAVIER STOKES EQUATIONS; NONLINEAR EQUATIONS; NUMERICAL METHODS;

CELL FACES; FINITE-VOLUME METHOD; FRACTIONAL STEPS METHOD; INCOMPRESSIBLE (NAVIER )STOKES EQUATION; NON-STAGGERED; NONSTAGGERED UNSTRUCTURED GRID; SECOND ORDERS; TIME-ACCURATE; UNSTEADY INCOMPRESSIBLE FLOW; UNSTRUCTURED GRID;

FINITE VOLUME METHOD;

EID: 0001098774     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6546     Document Type: Article

References (33)

1. Kim J., Moin P. Application of a fractional-step method to incompressible Navier-Stokes equations. J. Comput. Phys. 59:1985;308.
2. Rhie C. M., Chow W. L. Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA J. 21:1983;1525.
3. Zang Y., Street R. L., Koseff J. R. A non-staggered grid, fractional step method for time-dependent incompressible Navier-Stokes equations in curvilinear coordinates. J. Comput. Phys. 114:1994;18.
4. Davidson L. A pressure correction method for unstructured meshes with arbitrary control volumes. Int. J. Numer. Methods Fluids. 22:1996;265.
5. Mathur S. R., Murthy J. Y. A pressure-based method for unstructured meshes. Numer. Heat Transfer Part B. 31:1997;195.
6. Lai Y. G. An unstructured grid method for a pressure-based flow and heat transfer solver. Numer. Heat Transfer Part B. 32:1997;267.
7. Thomadakis M., Leschziner M. A pressure-correction method for the solution of incompressible viscous flows on unstructured grids. Int. J. Numer. Methods Fluids. 22:1996;581.
8. Taniguchi N., Kobayashi T. Finite volume method on the unstructured grid system. Comput. Fluids. 19:1991;287.
9. Hwang Y.-H. Calculations of incompressible flow on a staggered triangular grid, Part I: Mathematical formulation. Numer. Heat Transfer Part B. 27:1995;323.
10. Hwang Y.-H. Stability and accuracy analyses for the incompressible Navier-Stokes equations on the staggered triangular grid. Numer. Heat Transfer Part B. 32:1997;321.
11. Kobayashi M. H., Pereira J. M. C., Pereira J. C. F. A conservative finite-volume second-order-accurate projection method on hybrid unstructured grids. J. Comput. Phys. 150:1999;40.
12. Miller J. J. H., Wang S. An exponentially fitted finite volume method for the numerical solution of 2D unsteady incompressible flow problems. J. Comput. Phys. 115:1994;56.
13. Pan D., Lu C.-H., Cheng J.-C. Incompressible flow solution on unstructured triangular meshes. Numer. Heat Transfer Part B. 26:1994;207.
14. Weiss J. M., Smith W. A. Preconditioning applied to variable and constant density flows. AIAA J. 33:1995;2050.
15. Schulz K. W., Kallinderis Y. Unsteady flow structure interaction for incompressible flows using deformable hybrid grids. J. Comput. Phys. 143:1998;569.
16. Chen A. J., Kallinderis Y. Adaptive hybrid (prismatic-tetrahedral) grid for incompressible flows. Int. J. Numer. Methods Fluids. 26:1998;1085.
17. Hall C. A., Cavendish J. C., Frey W. H. The dual variable method for solving fluid flow difference equations on delaunay triangulations. Comput. Fluids. 20:1991;145.
18. Chou S. H. Analysis and convergence of a covolume method for the generalized Stokes problem. Math. Comput. 66:1997;85.
19. B. Perot, Conservation properties of unstructured staggered mesh schemes, J. Comput. Phys, to appear.
20. Nicolaides R. A. Direct discretization of planar div-curl problems. SIAM J. Numer. Anal. 29:1992;32.
21. Le H., Moin P. An improvement of fractional step methods for the incompressible Navier-Stokes equations. J. Comput. Phys. 92:1991;369.
22. Choi H., Moin P. Effects of the computational time step on numerical solutions of turbulent flow. J. Comput. Phys. 113:1994;1.
23. Beam R. M., Warming R. F. An implicit factored scheme for the compressible Navier-Stokes equations. AIAA J. 16:1978;393.
24. Choi H., Moin P., Kim J. Direct numerical simulation of turbulent flow over riblets. J. Fluid Mech. 255:1993;503.
25. Thompson J. F., Warsi Z. U. A., Mastin C. W. Numerical Grid Generation. 1985.
26. Barrett R., Berry M., Chan T. F., Demmel J., Donato J. M., Dongarra J., Eijkhout V., Pozo R., Romine C., der Vorst H. V. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. 1994.
27. Ghia U., Ghia K. N., Shin C. T. High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. J. Comput. Phys. 48:1982;387.
28. Pauley L. L., Moin P., Reynolds W. C. The structure of two-dimensional separation. J. Fluid Mech. 220:1990;397.
29. Armaly B. F., Durst F., Pereira J. C. F., Schönung B. Experimental and theoretical investigation of backward-facing step flow. J. Fluid Mech. 127:1983;473.
30. Park J., Kwon K., Choi H. Numerical solutions of flow past a circular cylinder at Reynolds numbers up to 160. KSME Int. J. 12:1998;1200.
31. 5. Phys. Fluids. 10:1998;1547.
32. Pirzadeh S. Structured background grids for generation of unstructured grids by advancing-front method. AIAA J. 31:1993;257.
33. Williamson C. H. K. Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers. J. Fluid Mech. 206:1989;579.