Two-dimensional compact finite difference immersed boundary method

International Journal for Numerical Methods in Fluids

Volumn 65, Issue 6, 2011, Pages 609-624

  Ferreira De Sousa, Paulo J S A ^a,b   Pereira, José C F ^c   Allen, James J ^a  

^a Horeshoe Cir Jett Hall   (United States)

^b INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^c VANDERBILT UNIVERSITY   (United States)

Author keywords

Bioflows; Compact finite difference methods; Fluid structure interaction; Immersed boundary method; Incompressible flow; Viscous flows

Indexed keywords

BIOFLOWS; BIOLOGICAL FLUIDS; CARTESIANS; COMPACT FINITE DIFFERENCES; COMPACT SCHEMES; COMPUTATIONAL GRIDS; COMPUTATIONAL RESULTS; FOURTH-ORDER; GRID CONVERGENCE; IMMERSED BOUNDARY; IMMERSED BOUNDARY METHODS; INCOMPRESSIBLE NAVIER STOKES EQUATIONS; INTERPOLATION SCHEMES; MOVING BOUNDARIES; RUNGE-KUTTA; SPATIAL DISCRETIZATIONS; STAGGERED GRID; TEMPORAL DISCRETIZATION;

FLUID STRUCTURE INTERACTION; FLUIDS; INCOMPRESSIBLE FLOW; NAVIER STOKES EQUATIONS; RUNGE KUTTA METHODS; TWO DIMENSIONAL; VISCOSITY; VISCOUS FLOW;

TURBULENT FLOW;

EID: 78751509565     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.2199     Document Type: Article

References (26)

1. Mittal R, Iaccarino G. Immersed boundary methods. Annual Review of Fluid Mechanics 2005; 37:239.
2. Wang ZJ. Dissecting insect flight. Annual Review of Fluid Mechanics 2005; 37:183.
3. Dickinson MH, Lehmann F-O, Sane SP. Wing rotation and the aerodynamic basis of insect flight. Science 1999; 284:1954.
4. Peskin CS. The immersed boundary method. Acta Numerica 2002; 11:479.
5. Lai M-C, Peskin CS. An immersed boundary method with formal second order accuracy and reduced numerical viscosity. Journal of Computational Physics 2000; 160:705.
6. Griffith BE, Peskin CS. On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems. Journal of Computational Physics 2005; 208:75.
7. Kim Y, Peskin CS. Penalty immersed boundary method for an elastic boundary with mass. Physics of Fluids 2007; 19:053103.
8. Goldstein D, Handler R, Sirovich L. Modeling a no-slip flow boundary with an external force field. Journal of Computational Physics 1993; 105:354-366.
9. Saiki EM, Biringen S. Numerical simulation of a cylinder in uniform flow: application of a virtual boundary method. Journal of Computational Physics 1996; 123:450.
10. Mohd-Yusof J. Combined immersed boundaries/B-splines methods for simulations of flows in complex geometries. CTR Annual Research Briefs, 1997.
11. Verzicco R, Mohd-Yusof J, Orlandi P, Haworth D. Large eddy simulation in complex geometric configurations using boundary body forces. AIAA Journal 2000; 38(3):427.
12. Fadlun EA, Verzicco R, Orlandi P, Mohd-Yusof J. Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. Journal of Computational Physics 2000; 161:35.
13. Balaras E. Modeling complex boundaries using an external force field on fixed Cartesian grids in large-eddy simulations. Computers and Fluids 2004; 33:375.
14. Lima E Silva ALF, Silveira-Neto A, Damasceno JJR. Numerical simulation of two-dimensional flows over a circular cylinder using the immersed boundary method. Journal of Computational Physics 2003; 189:351.
15. Tseng YH, Ferziger JH. A ghost-cell immersed boundary method for flow in complex geometry. Journal of Computational Physics 2003; 192:593.
16. Zhang N, Zheng ZC. An improved direct-forcing immersed-boundary method for finite difference applications. Journal of Computational Physics 2007; 221:250.
17. Lele SK. Compact finite difference schemes with spectral-like resolution. Journal of Computational Physics 1992; 103:16.
18. Christer B, Johansson V. Boundary conditions for open boundaries for the incompressible Navier-Stokes equations. Journal of Computational Physics 1993; 105:233.
19. Ferreira de Sousa PJSA, Pereira JCF. Fourth and tenth order compact finite difference solutions of perturbed circular vortex flows. International Journal for Numerical Methods in Fluids 2005; 49:603.
20. Mahesh K. A family of high order finite difference schemes with good spectral resolution. Journal of Computational Physics 1998; 145:332.
21. Nagarajan S, Lele SK, Ferziger JH. A robust high-order compact method for large eddy simulation. Journal of Computational Physics 2003; 191:392.
22. Roache PJ. Verification of codes and calculations. AIAA Journal 1998; 36:696.
23. Tornberg A-K, Engquist B. Numerical approximations of singular source terms in differential equations. Journal of Computational Physics 2004; 200:462.
24. Dickinson MH, Götz KG. Unsteady aerodynamic performance of model wings at low Reynolds numbers. Journal of Experimental Biology 1993; 174:45.
25. Sun M, Tang J. Unsteady aerodynamics force generation by a model fruit fly in flapping motion. Journal of Experimental Biology 2002; 205:55.
26. Wang ZJ, Birch JM, Dickinson MH. Unsteady forces and flows in low Reynolds number hovering flight: two-dimensional computations vs robotic wing experiments. Journal of Experimental Biology 2004; 207:449.