1. D. M. Anderson and S.H. Davis,
Two-Fluid Viscous Flow in a Corner,
J. Fluid Mech. 257 (1993) 1-31. PDF
2. S.H. Davis and D.M. Anderson,
Spreading and Evaporation of Liquid Drops on Solids,
in ASME Meeting on Surface-Tension-Driven Flows, AMD 170 (1993) 1-7. PDF
3. D. M. Anderson and S.H. Davis,
Local Fluid Flow and Heat Transfer Near Contact Lines,
J. Fluid Mech. 268 (1994) 231-265. PDF
(addendum to Local Fluid Flow and Heat Transfer Near Contact Lines,
J. Fluid Mech. 371 (1998) 377-378. PDF)
4. D. M. Anderson and S.H. Davis,
Fluid Flow, Heat Transfer, and Solidification Near Tri-junctions,
J. Crystal Growth 142 (1994) 245-252. PDF
5. D. M. Anderson and S.H. Davis,
The Spreading of Volatile Liquid Droplets on Heated Surfaces,
Phys. Fluids 7 (1995) 248-265. PDF
6. D. M. Anderson and M. G. Worster,
Weakly-Nonlinear Analysis of Convection in a Mushy Layer During the Solidification of Binary Alloys,
J. Fluid Mech. 302 (1995) 307-331. PDF
7. D. M. Anderson and M. G. Worster,
A New Oscillatory Instability in a Mushy Layer During the Solidification of Binary Alloys,
J. Fluid Mech. 307 (1996) 245-267. PDF
8. D. M. Anderson, M. G. Worster and S.H. Davis,
The Case for a Dynamic Contact Angle in Containerless Solidification,
J. Crystal Growth 163 (1996) 329-338. PDF
9. M. G. Worster, D.M. Anderson and T.P. Schulze,
"Nonlinear Convection in Mushy Layers",
Proceedings of the Third Microgravity Fluid Physics Conference,
NASA Conference Publication 3338, (1996) 369-374. PDF
10. D. M. Anderson and G.B. McFadden,
A Diffuse-Interface Description of Fluid Systems,
National Institute of Standards and Technology, Internal Report #5887, (1996).
PDF
11. D. M. Anderson and G.B. McFadden,
A Diffuse-Interface Description of Internal Waves in a Near-Critical Fluid,
Phys. Fluids 9 (1997) 1870-1879. PDF
12. D. M. Anderson, G.B. McFadden and A. A. Wheeler,
Diffuse-Interface Methods in Fluid Mechanics,
Ann. Rev. Fluid Mech. 30 (1998) 139-165. PDF
13. D. M. Anderson, G.B. McFadden and A. A. Wheeler,
A Phase-Field Model of Solidification With Convection,
Physica D. 135 (2000) 175-194. PDF
14. G.B. McFadden, A. A. Wheeler and D.M. Anderson,
Thin Interface Asymptotics for an Energy/Entropy Approach to
Phase-Field Models with Unequal Conductivities,
Physica D. 144 (2000) 154-168. PDF
15. D. M. Anderson, M.G. Forest and R. Superfine,
A Model for a Spreading and Melting Droplet on a Heated Substrate,
SIAM J. Appl. Math. 61 (2001) 1502-1525. PDF
16. D. M. Anderson, G.B. McFadden and A. A. Wheeler,
A Phase-Field Model With Convection: Sharp-Interface Asymptotics,
Physica D. 151 (2001) 305-331. PDF
17. W.W. Schultz, M.G. Worster and D.M. Anderson,
"Solidifying Sessile Water Droplets"
in Interactive Dynamics of Convection and Solidification,
eds. P. Ehrhard, D.S. Riley and P.H. Steen, (Kluwer, 2001). PDF
18. D. M. Anderson, G.B. McFadden and A. A. Wheeler,
A Phase-Field Model of Convection With Solidification,
40th AIAA Aerospace Sciences Meeting and Exhibit,
AIAA 2002-0891 (2002). PDF
19. D.M. Anderson, G.B. McFadden and A. A. Wheeler,
"A Phase-Field Model With Convection: Numerical Simulations,"
in Interfaces for the Twenty-First Century,
eds. M.K. Smith, M.J. Miksis, G.B. McFadden, G.P. Neitzel and D.R. Canright,
pp. 131-145, (Imperial College Press, 2002). PDF
20. D. M. Anderson,
A Model for Diffusion-Controlled
Solidification of Ternary Alloys in Mushy Layers,
J. Fluid Mech. 483 (2003) 165-197. PDF
21. D. M. Anderson, R.M. McLaughlin and C.T. Miller,
The Averaging of Gravity Currents in Porous Media,
Phys. Fluids 15 (2003) 2810-2829. PDF
22. D. M. Anderson, R.M. McLaughlin and C.T. Miller,
"On Gravity Currents in Heterogeneous Porous Media,"
in Proceedings of the 15th International Conference on Computational Methods in
Water Resources (CMWR XV)
eds. C.T. Miller, M.W. Farthing, W.G. Gray and G.F. Pinder, pp.303-312
(Elsevier Science, 2004). PDF
23. D.M. Anderson and T.P. Schulze,
Linear and Nonlinear Convection in Solidifying Ternary Alloys,
J. Fluid Mech. 545 (2005) 213-243. PDF
24. D.M. Anderson,
Imbibition of a Liquid Droplet on a Deformable Porous Substrate,
Phys. Fluids. 17 087104 (2005). PDF
25. D.M. Anderson, P. Cermelli, E. Fried, M.E. Gurtin and G.B. McFadden,
General dynamical sharp-interface conditions for phase
transformations in viscous heat-conducting fluids,
J. Fluid Mech. 581 (2007) 323-370. PDF
26. J.I. Siddique, D.M. Anderson and A. Bondarev,
Capillary rise of a liquid into a deformable porous material,
with appendix "Experiments on capillary rise of a liquid into a deformable sponge",
Phys. Fluids
27. K.N. Winter, D.M. Anderson and R.J. Braun,
A model for wetting and evaporation of a post-blink precorneal tear film,
Math. Med. Biol.
28. D.M. Anderson, G.B. McFadden, S.R. Coriell and B.T. Murray,
Convective instabilities during the solidification of an ideal ternary alloy in a mushy layer,
J. Fluid Mech. 647 (2010) 309-333. PDF
29. D.M. Anderson, R.M. McLaughlin and C.T. Miller,
A sharp-interface interpretation of a continuous density model for
homogenization of gravity-driven flow in porous media,
Physica D 239 (2010) 1855-1866. doi:10.1016/j.physd.2010.06.009
PDF
30. K. Nong and D.M. Anderson,
Thin film evolution over a thin porous layer: modeling a tear film on a contact lens,
SIAM J. Applied Math. 70 (2010) 2771-2795.
doi:10.1137/090749748
PDF
31. J.I. Siddique and D.M. Anderson,
Capillary rise of a non-Newtonian liquid into a deformable porous material,
J. Porous Media to appear (2010).