A multidomain boundary element method for unsteady laminar flow using stream function-vorticity equations

Engineering Analysis with Boundary Elements

Volumn 29, Issue 1, 2005, Pages 1-14

  Ramšak, Matjaž ^a   Škerget, Leopold ^a   Hriberšek, Matjaž ^a   Žunič, Zoran ^a  

^a UNIVERSITY OF MARIBOR   (Slovenia)

Author keywords

Backward facing step flow; Boundary element method; Flow past a cylinder; Stream function vorticity formulation; Viscous flow

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; CYLINDERS (SHAPES); FUNCTIONS; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; VISCOUS FLOW; VORTEX FLOW;

BACKWARD-FACING STEP FLOW; FLOW PAST A CYLINDER; STREAM FUNCTION-VORTICITY FORMULATION; TRANSPORT EQUATIONS;

LAMINAR FLOW;

EID: 10644269933     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2004.09.002     Document Type: Article

References (32)

1. Brebbia CA, Telles JCF, Wrobel LC. Boundary element methods, theory and applications. New York: Springer; 1984.
2. Braza M, Chassaing P, Minh H. Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder. J Fluid Mech 1986;165:79-130.
3. Calhoun D. A cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions. J Comput Phys 2002;176:231-75.
4. CFX 5.5 2001, AEA Technology engineering software.
5. Coutanceau M, Bouard R. Experimental determination of the main features of the viscous flow in wake of a circular cylinder in uniform translation. Part 1. Steady flow. J Fluid Mech 1977;79:231-56.
6. Coutanceau M, Bouard R. Experimental determination of the main features of the viscous flow in wake of a circular cylinder in uniform translation part 2. Unsteady flow. J Fluid Mech 1977;79:257-72.
7. Dennis SCR, Chang G. Numerical solutions for steady flow past a circular cylinder at Reynolds number up to 100. J Fluid Mech 1970;42:471-89.
8. Florez WF, Power H. Comparison between continuous and discontinuous boundary elements in the multidomain dual reciprocity method for the solution of the two-dimensional Navier-Stokes equations. Eng Anal Bound Elem 2001;25:57-69.
9. Fornberg B. A numerical study of a steady viscous flow past a circular cylinder. J Fluid Mech 1980;98:819-55.
10. Gartling DK. A test problem for outflow boundary conditions - flow over a backward-facing step. Int J Numer Meth Fluids 1990;11:953-67.
11. Ghia U, Ghia KN, Shin CT. High-Re solutions for incompressible flow, using the Navier-Stokes equations and a multigrid method. J Comp Phys 1982;48:387-411.
12. Gresho PM, et al. Is the steady viscous incompressible two-dimensional flow over a backward-facing step at Re=800 stable? Int J Numer Meth Fluids 1993;17:501-41.
13. Grigoriev MM, Fafurin AV. A boundary element method for steady viscous flow using penalty formulation. Int J Numer Meth Fluids 1997;25:907-29.
14. Grigoriev MM, Dargush GF. A poly-region boundary element method for incompressible viscous fluid flows. Int J Numer Meth Fluids 1999;46:1127-58.
15. Hackbusch W. Iterative Lösung grosser schwachbesetzter Gleichung-systeme, Teubner Studienbücher, Mathematik, Stuttgart; 1991.
16. Hriberšek M, Škerget L. Iterative methods in solving Navier-Stokes equations by the boundary element method. Int J Numer Meth Fluids 1996;39:115-39.
17. http://www.sali.freeservers.com/engineering/cfd/cfdcodes/uconv_1d1.html
18. Kaiktis L, Karniadakis GE, Orszag S. Onset on three-dimensionality, equilibria, and early transition on flow over a backward-facing step. Int J Fluids Mech 1991;231:501-28.
19. Liu C, Zheng X, Sung H. Preconditioned multigrid methods for unsteady incompressible flows. J Comput Phys 1998;139:35-57.
20. Onishi K, Kuroki T, Tanaka M. An application of boundary element method to incompressible laminar viscous flow. Eng Anal 1984;1:122-7.
21. Paige CC, Saunders MA. LSQR: sparse linear equations and least-squares problems. ACM Trans Math Software 1982;8(2):195-209.
22. Ramšak M, Škerget L. Mixed boundary elements for laminar flows. Int J Numer Meth Fluids 1999;31:861-77.
23. Ramšak M, Škerget L. Iterative least squares methods for solving over-determined matrix for mixed boundary elements. ZAMM, Berlin 2000;80(Suppl. 3):657-8.
24. Rek Z, Škerget L. Boundary element method for steady 2D high-Reynolds number flow. Int J Numer Meth Fluids 1994;19:343-61.
25. Škerget L, Alujevic A, Brebbia CA, Kuhn G. Natural and forced convection simulation using the velocity-vorticity approach. Topics Boundary Elem Res, vol. 5. Berlin: Springer; 1989 p. 49-86.
26. Škerget L, Rek Z. Boundary-domain integral method using a velocity-vorticity formulation. Eng Anal Bound Elem 1995;15:359-70.
27. Škerget L, Hriberšek M, Kuhn G. Computational fluid dynamics by boundary-domain integral method. Int J Numer Meth Fluids 1999;46:1291-311.
28. Telles JC. A self adaptive coordinate transformation for efficient numerical evaluation of general boundary element integrals. Int J Numer Meth Eng 1987;24:959-73.
29. Tritton DJ. Experiments on the flow past circular cylinder at low Reynolds numbers. J Fluid Mech 1959;6:547-67.
30. Wrobel LC. The boundary element method. Applications in thermofluids and acoustics, vol. 1. New York: Wiley; 2002.
31. Wu JC. Problems of general viscous fluid flow. Developments in BEM, vol. 2. London: Elsevier; 1982 [chapter 2].
32. Žunič Z. Direct methods for solving systems of equations in boundary-domain integral method. Slovenian Soc Mech 1998;233-340.