An enhanced polygonal finite-volume method for unstructured hybrid meshes

International Journal for Numerical Methods in Fluids

Volumn 54, Issue 1, 2007, Pages 29-46

  Ahn, Hyung Taek ^a,b   Carey, Graham F ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Mesh distortion; Node dual finite volume; Polygonal finite volume; Unstructured hybrid mesh

Indexed keywords

COMPUTATIONAL GEOMETRY; CONVERGENCE OF NUMERICAL METHODS; FINITE VOLUME METHOD; INCOMPRESSIBLE FLOW;

MESH DISTORTION; NODE-DUAL FINITE VOLUME; POLYGONAL FINITE VOLUME; UNSTRUCTURED MESH;

VISCOUS FLOW;

COMPUTATIONAL GEOMETRY; CONVERGENCE OF NUMERICAL METHODS; FINITE VOLUME METHOD; INCOMPRESSIBLE FLOW; VISCOUS FLOW;

EID: 34247496403     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1390     Document Type: Article

References (30)

1. Athanasiadis AN, Deconinck H. Object-oriented three-dimensional hybrid grid generation. International Journal for Numerical Methods in Engineering 2003; 58:301-318.
2. Carey GF. Computational Grids: Generations, Adaptation and Solution Strategies. Taylor & Francis: London, 1997.
3. Branets L, Carey GF. A local cell quality metric and variational grid smoothing algorithm. Engineering with Computers 2005; 21:19-28.
4. Branets L, Carey GF. Extension of a mesh quality metric for elements with a curved boundary edge or surface. Journal of Computing and Information Science in Engineering 2005; 5:302-308.
5. Knupp P. Algebraic mesh quality metrics. SIAM Journal on Scientific Computing 2001; 23:193-218.
6. Wright JA, Smith RW. An edge-based method for the incompressible Navier-Stokes equations on polygonal meshes. Journal of Computational Physics 2001; 169:24-43.
7. Loubère R, Shashkov MJ. A subcell remapping method on staggered polygonal grids for arbitrary-Lagrangian-Eulerian methods. Journal of Computational Physics 2005; 209:105-138.
8. Belov A, Jameson A, Martinelli L. A new implicit algorithm with multigrid for unsteady incompressible flow calculations. AIAA Paper 95-0049, 1995.
9. Jameson A. Time-dependent calculations using with applications to unsteady flows past airfoils and wings. AIAA Paper 91-1596, 1991.
10. Turkel E. Preconditioned method for solving the incompressible and low speed compressible equations. Journal of Computational Physics 1987; 72:277-298.
11. Turkel E. A review of preconditioning methods for fluid dynamics. Applied Numerical Mathematics 1993; 12:257-284.
12. Malan AG, Lewis RW, Nithiarasu P. An improved unsteady, unstructured, artificial compressibility, finite-volume scheme for viscous incompressible flows. Part I. Theory and implementation. International Journal for Numerical Methods in Engineering 2002; 54:697-714.
13. Nithiarasu P. An efficient artificial compressibility (ac) scheme based on the characteristic based split (cbs) method for incompressible flows. International Journal for Numerical Methods in Engineering 2003; 56:1815-1845.
14. Lin PT. Two-dimensional implicit time dependent calculation for incompressible flows on adaptive unstructured meshes. Ph.D. Thesis, Princeton University, Princeton, 2001.
15. Turkel E. Preconditioning and the Limit of the Compressible to the Incompressible Flow Equations for Finite Difference Schemes in the Frontiers of the Computational Fluid Dynamics 1994, Chapter 13. Wiley: New York, 1998.
16. Kallinderis Y, Ahn HT. Incompressible Navier-Stokes method with general hybrid meshes. Journal of Computational Physics 2005; 210:75-108.
17. Barth TJ. Aspects of unstructured grids and finite-volume solvers for the Euler and Navier-Strokes equations. Unstructured grid methods for advection dominated flows. Technical Report AGARD Report 787, AGARD, 1992; 6.1-6.60.
18. Ahn HT. A new incompressible Navier-Stokes method with general hybrid meshes and its application to flow/structure interactions. Ph.D. Thesis, The University of Texas at Austin, TX, 2005.
19. Roe PL. Approximate Riemann solvers, parameter vectors and difference schemes. Journal of Computational Physics 1981; 43:357-372.
20. Taylor LK, Whitfield DL. Unsteady three-dimensional incompressible Euler and Navier-Stokes solver for stationary and dynamic grids. AIAA 1991; 92:1650.
21. Anderson WK, Rausch RD, Bonhaus DL. Implicit/multigrid algorithms for incompressible turbulent flows on unstructured grids. Journal of Computational Physics 1996; 128:391-408.
22. Kim S. Reynolds-averaged Navier-Stokes computation of tip clearance flow in a compressor cascade using an unstructured grid. Ph.D. Thesis, Virginia Polytechnic Institute and State University, 2001.
23. Anderson WK, Bonhaus DL. Algorithm for computing turbulent flows on unstructured grids. Computers and Fluids 1994; 23:1-21.
24. Haselbacher A, Blazek J. On the accurate and efficient discretization of the Navier-Stokes equations on mixed grids. AIAA Journal 2000; 38:2094-2102.
25. Chen AJ, Kallinderis Y. Adaptive hybrid (prismatic-tetrahedral) grids for incompressible flows. International Journal for Numerical Methods in Fluids 1998; 26:1085-1105.
26. Braaten ME, Connell SD. Three-dimensional unstructured adaptive multigrid scheme for the Navier-Stokes equations. AIAA Journal 1996; 34:281-290.
27. Venkatakrishnan V, Allmaras S, Kamenetskii D, Johnson F. Higher order schemes for the compressible Navier-Stokes equations. AIAA Paper 2003-3987, 2003.
28. Ahn HT, Kallinderis Y. Strongly coupled flow/structure interactions with a geometrically conservative ALE scheme on general hybrid meshes. Journal of Computational Physics 2006; 219:671-696.
29. Carey GF, Oden JT. Finite Elements: A Second Course. vol. II. Prentice-Hall: Englewood Cliffs, NJ, 1983.
30. Carey GF, Oden JT. Finite Elements: Mathematical Aspects. vol. IV. Prentice-Hall: Englewood Cliffs, NJ, 1983.