Numerical simulation of flows around two circular cylinders by mesh-free least-square-based finite difference methods

International Journal for Numerical Methods in Fluids

Volumn 53, Issue 2, 2007, Pages 305-332

  Ding, H ^a   Shu, C ^a   Yeo, K S ^a   Xu, D ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b INSTITUTE OF HIGH PERFORMANCE COMPUTING   (Singapore)

Author keywords

Circular cylinder; Flow interference; Mesh free; Meshless; Navier Stokes equations

Indexed keywords

COMPUTER SIMULATION; DRAG; FINITE DIFFERENCE METHOD; FLOW VISUALIZATION; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER;

FLOW INTERFERENCE; MESH-FREE LEAST-SQUARE-BASED FINITE DIFFERENCE METHOD; STROUHAL NUMBER;

CONFINED FLOW;

COMPUTER SIMULATION; CONFINED FLOW; DRAG; FINITE DIFFERENCE METHOD; FLOW VISUALIZATION; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER;

EID: 33845929987     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1281     Document Type: Article

References (17)

1. Bearman PW, Wadcock AJ. The interaction between a pair of circular cylinders normal to a stream. Journal of Fluid Mechanics 1973; 61:499-511.
2. Williamson CHK. Evolution of a single wake behind a pair of bluff bodies. Journal of Fluid Mechanics 1985; 159:1-18.
3. Zdravkovich MM. Review of flow interference between two circular cylinders in various arrangements. Journal of Fluids Engineering (ASME) 1977; 99:618-633.
4. Stansby PK, Slaouti A. A numerical study of vortex shedding from one and two cylinders. Aeronautical Quarterly 1981; 32:48-71.
5. Slaouti A, Stansby PK. Flow around two circular cylinders by the random-vortex method. Journal of Fluids and Structures 1992; 6:641-670.
6. Chang KS, Song CJ. Interactive vortex shedding from a pair of circular cylinders in a transverse arrangement. International Journal for Numerical Methods in Fluids 1990; 11:317-329.
7. Mittal S, Kumar V, Raghuvanshi A. Unsteady incompressible flows past two cylinders in tandem and staggered arrangements. International Journal for Numerical Methods in Fluids 1997; 25:1315-1344.
8. Meneghini JR, Saltara F. Numerical simulation of flow interference between two circular cylinders in tandem and side-by-side arrangement. Journal of Fluids and Structures 2001; 15:327-350.
9. Ding H, Shu C, Yeo KS. Development of least square-based two-dimensional finite difference schemes and their application to simulate natural convection in a cavity. Computer and Fluids 2004; 33:137-154.
10. Tezduyar TE, Glowinski R, Liou J. Petrov-Galerkin methods on multiply connected domains for the vorticity stream function formulation of the incompressible Navier-Stokes equations. International Journal for Numerical Methods in Fluids 1988; 8:1269-1290.
11. Ding H, Shu C, Tang DB. Error estimates of local multiquadric-based differential quadrature (LMQDQ) method through numerical experiments. International Journal for Numerical Methods in Engineering 2005; 63:1513-1529.
12. Belov A, Martinelli L, Jameson A. A new implicit algorithm with multigrid for unsteady incompressible flow calculation. AIAA 95-0049, January 1995; 9.
13. 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. Journal of Fluid Mechanics 1986; 165:79.
14. Liu C, Zheng X, Sung CH. Preconditioned multigrid methods for unsteady incompressible flows. Journal of Computational Physics 1998; 139:35.
15. Zdravkovich MM. Flow induced oscillations of two interfering circular cylinders. Journal of Sound and Vibration 1985; 101:511-521.
16. Rockwell D. Vortex-body interactions. Annual Review of Fluid Mechanics 1998; 30:199-229.
17. Ding H, Shu C, Yeo KS, Xu D. Simulation of incompressible viscous flows past a circular cylinder by hybrid FD scheme and meshless least square-based finite difference method. Computer Methods in Applied Mechanics and Engineering 2004; 193:727-744.