Non-singular boundary integral methods for fluid mechanics applications

Journal of Fluid Mechanics

Volumn 696, Issue , 2012, Pages 468-478

  Klaseboer, Evert ^a   Sun, Qiang ^b   Chan, Derek Y C ^c,d  

^a INSTITUTE OF HIGH PERFORMANCE COMPUTING   (Singapore)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c UNIVERSITY OF MELBOURNE   (Australia)

^d SWINBURNE UNIVERSITY OF TECHNOLOGY   (Australia)

Author keywords

boundary integral methods

Indexed keywords

FLUID MECHANICS;

BOUNDARY INTEGRAL METHODS; CAUCHY PRINCIPAL VALUE; LINEAR ELASTICITY; SINGULAR BOUNDARY; STOKES FLOWS; WEAKLY SINGULAR INTEGRALS;

CONTINUUM MECHANICS;

BOUNDARY INTEGRAL METHOD; CONTINUUM MECHANICS; FLUID MECHANICS; HELMHOLTZ EQUATION; LAPLACE TRANSFORM; NAVIER-STOKES EQUATIONS; PRINCIPAL COMPONENT ANALYSIS;

EID: 84859171816     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2012.71     Document Type: Article

References (17)

1. BAZHLEKOV, I. B., ANDERSON, P. D. & MEIJER, H. E. H. 2004 Nonsingular boundary integral method for deformable drops in viscous flows. Phys. Fluids 16, 106-1081.
2. BECKER, A. A. 1992 The Boundary Element Method in Engineering: A Complete Course. McGraw-Hill International (UK) Limited.
3. BLAKE, J. R., TAIB, B. B. & GIBSON, D. C. 1986 Transient cavities near boundaries. Part 1. Rigid boundary. J. Fluid Mech. 170, 479-497.
4. CHENG, A. H. D. & CHENG, D. T. 2005 Heritage and early history of the boundary element method. Engng Anal. Bound. Elem. 29, 268-302.
5. FONG, S. W., ADHIKARI, D., KLASEBOER, E. & KHOO, B. C. 2009 Interactions of multiple spark-generated bubbles with phase differences. Exp. Fluids 46, 705-724.
6. GONZALEZ-AVILA, S. R., KLASEBOER, E., KHOO, B. C. & OHL, C. D. 2011 Cavitation bubble dynamics in a liquid gap of variable height. J. Fluid Mech. 682, 241-260.
7. KLASEBOER, E., ROSALES-FERNANDEZ, C. & KHOO, B. C. 2009 A note on true desingularization of boundary element methods for three-dimensional potential problems. Engng Anal. Bound. Elem. 33, 796-801.
8. LEAN, M. H. & WEXLER, A. 1985 Accurate numerical integration of singular boundary element kernels over boundaries with curvature. Intl J. Numer. Meth. Engng 21, 211-228.
9. LIU, Y. J. & RUDOLPHI, T. J. 1991 Some identities for fundamental solutions and their applications to weakly-singular boundary element formulations. Engng Anal. Bound. Elem. 8, 301-311.
10. LIU, Y. J. & RUDOLPHI, T. J. 1999 New identities for fundamental solutions and their applications to non-singular boundary element formulations. Comput. Mech. 24, 286-292.
11. LORENTZ, H. A. 1907 Abhandlungen U ber Theoretische Physik. B. G. Teubner.
12. PIGEONNEAU, F. & SELLIER, A. 2011 Low-Reynolds-number gravity-driven migration and deformation of bubbles near a free surface. Phys. Fluids 23, 2102-2116.
13. POZRIKIDIS, C. 1992 Boundary Integral and Singularity Methods for Linearized Viscous Flow. Cambridge University Press.
14. SYMM, G. T. 1963 Integral equation methods in potential theory. ii. Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 275, 33-46.
15. WANG, Q. X. 1998 The evolution of a gas bubble near an inclined wall. Theor. Comput. Fluid Dyn. 12, 29-51.
16. WROBEL, L. C. 2002 The Boundary Element Method, Vol. 1, Applications in Thermo-Fluids and Acoustics. Wiley.
17. ZHANG, Y. L., YEO, K. S., KHOO, B. C. & WANG, C. 2001 3D jet impact and toroidal bubbles. J. Comput. Phys. 166, 336-360.