An immersed boundary method on unstructured cartesian meshes for incompressible flows with heat transfer

Numerical Heat Transfer, Part B: Fundamentals

Volumn 49, Issue 3, 2006, Pages 277-297

  Pan, Dartzi ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; DIFFERENCE EQUATIONS; FLOW OF FLUIDS; HEAT TRANSFER; NAVIER STOKES EQUATIONS; POISSON EQUATION;

IMMERCED BOUNDARY METHOD; TEMPERATURE FIELD;

INCOMPRESSIBLE FLOW;

EID: 31744432757     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/10407790500290709     Document Type: Article

References (16)

1. C. S. Peskin, The Immersed Boundary Method, Acta Numerica, vol. 11, pp. 479-517, 2002.
2. D. Goldstein, R. Handler, and L. Sirovich, Modeling a No-Slip Flow Boundary with an External Force Field, J. Comput. Phys., vol. 105, pp. 354-366, 1993.
3. E. M. Saiki and S. Biringen, Numerical Simulation of a Cylinder in Uniform Flow: Application of a Virtual Boundary Method, J. Comput. Phys., vol. 123, pp. 450-465, 1996.
4. E. A. Fadlun, R. Verzicco, P. Orlandi, and J. Mohd-Yusof, Combined Immersed-Boundary Finite-Difference Methods for Three-Dimensional Complex Flow Simulations, J. Comput. Phys., vol. 161, pp. 35-60, 2000.
5. J. Kim, D. Kim, and H. Choi, An Immersed-Boundary Finite-Volume Method for Simulations of Flow in Complex Geometries, J. Comput. Phys., vol. 171, pp. 132-150, 2001.
6. F. P. T. Baaijens, A Fictitious Domain/Mortar Element Method for Fluid-Structure Interaction, Int. J. Numer. Meth. Fluids, vol. 35, pp. 743-761, 2001.
7. T. Ye, R. Mittal, H. S. Udaykumar, and W. Shyy, An Accurate Cartesian Grid Method for Viscous Incompressible Flows with Complex Immersed Boundaries, J. Comput. Phys., vol. 156, pp. 209-240, 1999.
8. F. Xiao, A Computational Model for Suspended Large Rigid Bodies in 3D Unsteady Viscous Flows, J. Comput. Phys., vol. 155, pp. 348-379, 1999.
9. T. Kajishima and S. Takiguchi, Interaction between Particle Clusters and Particle-Induced Turbulence, Int. J. Heat Fluid Flow, vol. 23, pp. 693-646, 2002.
10. J. Kim and H. Choi, An Immersed Boundary Finite Volume Method for Simulation of Heat Transfer in Complex Geometries, KSME Int. J., vol. 18, pp. 1026-1035, 2004.
11. H. S. Udaykuma, H.-C. Kan, W. Shyy, and R. Tran-Son-Tay, Multiphase Dynamics in Arbitrary Geometries on Fixed Cartesian Grids, J. Comput. Phys., vol. 137, pp. 366-405, 1997.
12. C. R. Ethier and D. A. Steinman, Exact Fully 3D Navier-Stokes Solutions for Benchmarking, Int. J. Numer. Meth. Fluids, vol. 19, pp. 369-375, 1994.
13. B. Fornberg, A Numerical Study of Steady Viscous Flow past a Circular Cylinder, J. Fluid Mech., vol. 98, pp. 819-855, 1980.
14. J. R. Holman, Heat Transfer, 5th ed., pp. 243-244, McGraw-Hill, New York, 1981.
15. F. Moukalled and M. Darwish, New Bounded Skew Central Difference Scheme, Part IT: Application to Natural Convection in an Eccentric Annulus, Numer. Heat Transfer B, vol. 31, pp. 111-133, 1997.
16. H. Sadat and S. Couturier, Performance and Accuracy of a Meshless Method for Laminar Natural Convection, Numer. Heat Transfer B, vol. 37, pp. 455-467, 2000.