A non-stiff boundary integral method for 3D porous media flow with surface tension

Mathematics and Computers in Simulation

Volumn 82, Issue 6, 2012, Pages 968-983

  Ambrose, David M ^a   Siegel, Michael ^b  

^a DREXEL UNIVERSITY   (United States)

^b NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

3D porous media flow; Boundary integral method; Stiff equations; Surface tension

Indexed keywords

BOUNDARY INTEGRAL METHODS; DYNAMICAL VARIABLES; EVOLUTION EQUATIONS; FLAT SURFACES; HIGH ORDER; IMPLICIT METHODS; INTERFACE VELOCITY; MATHEMATICAL FORMS; NONLOCAL; POROUS-MEDIA FLOW; STABILITY CONSTRAINTS; STIFF EQUATIONS; STIFFNESS REDUCTION; TIME INTEGRATION METHODS; TIME STEP;

INTEGRATION; POROUS MATERIALS; THREE DIMENSIONAL;

SURFACE TENSION;

EID: 84858441196     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2010.05.018     Document Type: Conference Paper

References (17)

1. D.M. Ambrose Well-posedness of two-phase Darcy flow in 3-D Quart. Appl. Math. 65 2007 189 203
2. D.M. Ambrose, and N. Masmoudi Well-posedness of 3D vortex sheets with surface tension Commun. Math. Sci. 5 2007 391 430
3. G. Baker, R.E. Caflisch, and M. Siegel Singularity formation during Rayleigh-Taylor instability J. Fluid Mech. 252 1993 51 78
4. G.R. Baker, D.I. Meiron, and S.A. Orszag Generalized vortex methods for free-surface flow problems J. Fluid Mech. 123 1982 477 501
5. R.E. Caflisch, and X.F. Li Lagrangian theory for 3D vortex sheets with axial or helical symmetry Trans. Theor. Stat. Phys. 21 1992 559 578
6. L. Greengard, and V. Rokhlin A fast algorithm for particle simulations J. Comp. Phys. 73 1987 325 348
7. T.Y. Hou, G. Hu, and P. Zhang Singularity formation in 3-D vortex sheets Phys. Fluids 15 1 2003 147 172 (Pubitemid 36225362)
8. T.Y. Hou, I. Klapper, and H. Si Removing the stiffness of curvature in computing 3-D filaments J. Comp. Phys. 143 1998 628 664 (Pubitemid 128345949)
9. T.Y. Hou, J.S. Lowengrub, and M.J. Shelley Removing the stiffness from interfacial flows with surface tension J. Comp. Phys. 114 1994 312 338 (Pubitemid 124012833)
10. T.Y. Hou, J.S. Lowengrub, and M.J. Shelley Boundary integral methods for multicomponent fluids and multiphase materials J. Comp. Phys. 169 2001 302 362 (Pubitemid 33665454)
11. R. Krasny On singularity formation in a vortex sheet and the point vortex approximation J. Fluid Mech. 167 1986 65 93 (Pubitemid 16603670)
12. M. Lipschutz Differential Geometry 1969 McGraw-Hill New York
13. J.R. Lister, and H. Stone Capillary breakup of a viscous thread surrounded by another viscous fluid Phys. Fluids 10 11 1998 2758 2764 (Pubitemid 128599802)
14. C. Pozrikidis Boundary Integral and Singularity Methods for Linearized Viscous Flow 1992 Cambridge University Press Cambridge
15. M. Shelley A study of singularity formation in vortex sheet motion by a spectrally accurate vortex method J. Fluid Mech. 244 1992 493 526
16. E.M. Stein Singular Integrals and Differentiability Properties of Functions 1970 Princeton University Press Princeton, NJ
17. H.A. Stone Dynamics of drop deformation and breakup in viscous fluids Annu. Rev. Fluid Mech. 26 1994 65 102 (Pubitemid 24987418)