An Edge-Based Method for the Incompressible Navier-Stokes Equations on Polygonal Meshes

Journal of Computational Physics

Volumn 169, Issue 1, 2001, Pages 24-43

  Wright, Jeffrey A ^a   Smith, Richard W ^b  

^a Streamline Numerics Inc   (United States)

^b NAVAL SURFACE WARFARE CENTER   (United States)

Author keywords

Edge based methods; Incompressible flows; Unsteady flows; Unstructured grids

Indexed keywords

CIRCULAR CYLINDERS; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; VISCOUS FLOW; VORTEX FLOW;

CONSERVATIVE DISCRETIZATION; EDGE-BASED DATA STRUCTURES; EDGE-BASED METHODS; HYBRID UNSTRUCTURED MESHES; INCOMPRESSIBLE (NAVIER )STOKES EQUATION; INCOMPRESSIBLE NAVIER STOKES EQUATIONS; POLYGONAL MESHES; PRESSURE-BASED METHOD; PRESSURE-VELOCITY COUPLING; UNSTRUCTURED GRID;

INCOMPRESSIBLE FLOW;

EID: 0141599886     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2001.6705     Document Type: Article

References (25)

1. Venkatakrishnan V. Perspective on unstructured grid flow solvers. AIAA J. 34:1996;533.
2. Mavriplis D. J. Unstructured grid techniques. Annu. Rev. Fluid Mech. 29:1997;473.
3. Barth T. J. Recent Developments in High Order k-Exact Reconstruction on Unstructured Meshes. 1993.
4. Luo H., Baum J. D., Lohner R. dge-based finite element scheme for the Euler equations. AIAA J. 32:1994;1183.
5. Gresho P. M., Sani R. L. On pressure boundary conditions for the incompressible Navier-Stokes equations. Int. J. Numer. Meth. Fluids. 7:1987;1111.
6. Thomadakis M., Leschziner M. A pressure-correction method for the solution of incompressible viscous flows on unstructured grids. Int. J. Numer. Meth. Fluids. 22:1996;581.
7. S. V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC, 1980.
8. Rida S., McKenty F., Meng F. L., Reggio M. A staggered control volume scheme for unstructured triangular grids. Int. J. Numer. Meth. Fluids. 25:1997;697.
9. Jyotsna R., Vanka S. P. Multigrid calculation of steady, viscous flow in a triangular cavity. J. Comput. Phys. 122:1995;107.
10. 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.
11. Hirsch C. Numerical Computation of Internal and External Flows. 1:1988;24-25.
12. Strikwerda J. Finite difference methods for the Stokes and Navier-Stokes equations. SIAM J. Sci. Stat. Comput. 5:1984;56.
13. Choi Y. H., Merkle C. L. The application of preconditioning in viscous flows. J. Comput. Phys. 105:1993;207.
14. Sotiropoulos F., Abdallah S. The discrete continuity equation in primitive variable solutions of incompressible flow. J. Comput. Phys. 95:1991;212.
15. Rhie C. M., Chow W. L. A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation. AIAA J. 21:1983;1525.
16. Barth T. J., Jespersen D. C. The Design and Application of Upwind Schemes on Unstructured Meshes. 1989.
17. Marx Y. P. Time integration schemes for the unsteady incompressible Navier-Stokes equations. J. Comput. Phys. 112:1994;182.
18. Shih T. M., Tan C. H., Hwang B. C. Effects of grid staggering on numerical schemes. Int. J. Numer. Meth. Fluids. 9:1989;193.
19. Rebay S. Efficient unstructured mesh generation by means of Delaunay triangulation and Bowyer-Watson algorithm. J. Comput. Phys. 106:1993;125.
20. Taylor G. I. On the decay of vortices in a viscous fluid. Philos. Mag. 46:1923;671.
21. Braza M., Chassaing P., Ha Minh H. Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder. J. Fluid Mech. 165:1986;79.
22. 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.
23. Coutanceau M., Bouard R. Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation. Part 2. Unsteady flow. J. Fluid Mech. 79:1977;257.
24. Rosenfeld M., Kwak D., Vinokur M. A fractional step solution method for the unsteady incompressible Navier-Stokes equations in generalized coordinate systems. J. Comput. Phys. 94:1991;102.
25. S. E. Rogers, NASA Ames Research Center, Moffett Field, CA, private communication, 1999.