A moving-least-squares reconstruction for embedded-boundary formulations

Journal of Computational Physics

Volumn 228, Issue 18, 2009, Pages 6617-6628

  Vanella, Marcos ^a   Balaras, Elias ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

Cartesian grids; Finite difference method; Immersed boundary method

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; COSTS; FUNCTION EVALUATION; ITERATIVE METHODS; LAGRANGE MULTIPLIERS; LEAST SQUARES APPROXIMATIONS; TURBULENT FLOW;

CARTESIAN GRID; EULERIAN; EULERIAN GRIDS; FINITE-DIFFERENCE METHODS; FORCING FUNCTION; FORCINGS; IMMERSED BOUNDARY; IMMERSED BOUNDARY METHODS; LAGRANGIAN; OVERALL COSTS;

FINITE DIFFERENCE METHOD;

EID: 67849121141     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.06.003     Document Type: Article

References (20)

1. Ardekani A., and Rangel R. Numerical investigation of particle-particle and particle-wall collisions in a viscous fluid. J. Fluid Mech. (2008)
2. Balaras E. Modeling complex boundaries using an external force field on fixed cartesian grids in large-eddy simulations. Comput. Fluids 33 (2004) 375-404
3. Balaras E., Piomelli U., and Wallace J. Self-similar states in turbulent mixing layers. J. Fluid Mech. 446 (2001) 1-24
4. E. Balaras, M. Vanella, Adaptive mesh refinement strategies for immersed boundary methods, AIAA-2009-162 (2009), 9.
5. Eames I., and Dalziel S. Dust resuspension by the flow around an impacting sphere. J Fluid Mech 403 (2000) 305-328
6. Fadlun E., Verzicco R., Orlandi P., and Mohd-Yusof J. Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. J. Comput. Phys. 161 1 (2000) 35-60
7. Gu W., Chyu C., and Rockwell D. Timing of vortex formation from an oscillating cylinder. Phys. Fluids 6 11 (1994) 3677-3682
8. Guilmineau E., and Queutey P. A numerical simulation of vortex shedding from an oscillating circular cylinder. J. Fluid Struct. 16 6 (2002) 773-794
9. Joseph G., Zenit R., Hunt M., and Rosenwinkel A. Particle-wall collisions in a viscous fluid. J. Fluid Mech. (2001)
10. Kim J., Kim D., and Choi H. An immersed-boundary finite-volume method for simulations of flow in complex geometries. J. Comput. Phys. 171 1 (2001) 132-150
11. Lancaster P., and Salkauskas K. Surfaces generated by moving least squares methods. Math. Comput. 37 155 (1981) 141-158
12. Liu G., and Gu Y.T. An Introduction to Meshfree Methods and their Programming (2005), Springer
13. Mittal R., Dong H., Bozkurttas M., Najjar F.M., Vargas A., and von Loebbecke A. A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries. J. Comput. Phys. 227 10 (2008) 4825-4852
14. Orlanski I. A simple boundary condition for unbounded hyperbolic flows. J. Comput. Phys. (1976)
15. Peskin C. Flow patterns around heart valves - numerical method. J. Comput. Phys. 10 2 (1972) 252
16. Piomelli U., Balaras E., and Pascarelli A. Turbulent structures in accelerating boundary layers. J. Turbul. 1 (2000) 001
17. Udaykumar H., Shyy W., and Rao M. Elafint: a mixed Eulerian-Lagrangian method for fluid flows with complex and moving boundaries. Int. J. Numer. Meth. Fl. 22 8 (1996) 691-712
18. Uhlmann M. An immersed boundary method with direct forcing for the simulation of particulate flows. J. Comput. Phys. 209 2 (2005) 448-476
19. Yang J., and Balaras E. An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries. J. Comput. Phys. 215 (2006) 12-40
20. Yang J., Preidikman S., and Balaras E. A strongly coupled embedded-boundary method for fluid-structure interactions of elastically mounted rigid bodies. J. Fluid Struct. 24 2 (2008) 167-182