Recent Advances in Free Surface Flows
141
10. Tripathi, M.K., Sahu, K.C., Govindarajan, R.: Why a falling drop does not in general behave
like a rising bubble. Sci. Rep. 4, 4771 (2014)
11. Brackbill, J.U., Kothe, D.B., Zemach, C.: Instability of a moving cylindrical liquid sheet. J.
Comput. Phys. 100, 335 (1992)
12. Unverdi, S.O., Tryggvason, G.: A front-tracking method for viscous, incompressible, multifluid flows. J. Comput. Phys. 100, 25 (1992)
13. Mehrabani, M.T., Nobari, M.R.H., Tryggvason, G.: An efficient front-tracking method for
simulation of multi-density bubbles. Int. J. Numer. Methods Fluids 84, 445 (2017)
14. Mehrabani, M.T., Nobari, M.R.H., Tryggvason, G.: Accelerating Poisson solvers in front
tracking method using parallel direct methods. Comput. Fluids 118, 101 (2015)
15. Harlow, F.H., Welch, J.E.: Numerical calculation of time-dependent viscous incompressible
flow of fluid with free surface. Phys. Fluids 8, 2182 (1965)
16. Hirt, C.W., Nichols, B.D.: Volume of fluid (VOF) method for the dynamics of free boundaries.
J. Comput. Phys. 39, 201 (1981)
17. Popinet, S.: Gerris: a tree-based adaptive solver for the incompressible Euler equations in
complex geometries. J. Comput. Phys. 190, 572 (2003)
18. Popinet, S.: An accurate adaptive solver for surface-tension-driven interfacial flows. J. Comput. Phys. 228, 5838 (2009)
19. Tripathi, M.K., Sahu, K.C., Govindarajan, R.: Dynamics of an initially spherical bubble rising
in quiescent liquid. Nat. Commun. 6, 6268 (2015)
20. Sussman, M., Puckett, E.G.: A coupled level set and volume-of-fluid method for computing
3D and axisymmetric incompressible two-phase flows. J. Comput. Phys. 162, 301 (2000)
21. Tomar, G., Biswas, G., Sharma, A., Agrawal, A.: Numerical simulation of bubble growth in
film boiling using a coupled level-set and volume-of-fluid method. Phys. Fluids 17, 112103
(2005)
22. Hens, A., Biswas, G., De, S.: Analysis of interfacial instability and multimode bubble formation in saturated boiling using coupled level set and volume-of-fluid approach. Phys. Fluids
26, 012105 (2014)
23. Benjamin, T.B.: Gravity currents and related phenomena. J. Fluid Mech. 31, 209 (1968)
24. Joseph, D.D., Bai, R., Chen, K.P., Renardy, Y.Y.: Core-annular flows. Annu. Rev. Fluid Mech.
29, 65 (1997)
25. Baird, M.H.I., Aravamudan, K., Rama Rao, N.V., Chadam, J., Pierce, A.P.: Unsteady axial
mixing by natural convection in a vertical column. AIChE J. 38, 1825 (1992)
26. Sahu, K.C., Vanka, S.P.: A multiphase lattice Boltzmann study of buoyancy-induced mixing
in a tilted channel. Comput. Fluids 50, 199 (2011)
27. Redapangu, P.R., Sahu, K.C., Vanka, S.P.: A lattice Boltzmann simulation of threedimensional displacement flow of two immiscible liquids in a square duct. J. Fluids Eng.
135, 121202 (2013)
28. Séon, T., Znaien, J., Perrin, B., Hinch, E.J., Salin, D., Hulin, J.P.: Front dynamics and macroscopic diffusion in buoyant mixing in a tilted tube. Phys. Fluids 19(12), 125105 (2007)
29. Séon, T., Salin, D., Hulin, J.P., Hinch, E.J., Perrin, B.: Transient buoyancy-driven front dynamics in nearly horizontal tubes. Phys. Fluids 19, 123603 (2007)
30. Hallez, Y., Magnaudet, J.: Effects of channel geometry on buoyancy-driven mixing. Phys.
Fluids 20, 053306 (2008)
31. Sahu, K.C., Ding, H., Valluri, P., Matar, O.K.: Linear stability analysis and numerical simulation of miscible two-layer channel flow. Phys. Fluids 21, 042104 (2009)
32. Sahu, K.C., Ding, H., Valluri, P., Matar, O.K.: Pressure-driven miscible two-fluid channel
flow with density gradients. Phys. Fluids 21, 043603 (2009)
33. Redapangu, P.R., Vanka, S.P., Sahu, K.C.: Multiphase lattice Boltzmann simulations of
buoyancy-induced flow of two immiscible fluids with different viscosities. Eur. J. Mech.
B/Fluids 34, 105 (2012)
34. Thoroddsen, S.T., Takehara, K.: The coalescence cascade of a drop. Phys. Fluids 12, 1265
(2000)
141
10. Tripathi, M.K., Sahu, K.C., Govindarajan, R.: Why a falling drop does not in general behave
like a rising bubble. Sci. Rep. 4, 4771 (2014)
11. Brackbill, J.U., Kothe, D.B., Zemach, C.: Instability of a moving cylindrical liquid sheet. J.
Comput. Phys. 100, 335 (1992)
12. Unverdi, S.O., Tryggvason, G.: A front-tracking method for viscous, incompressible, multifluid flows. J. Comput. Phys. 100, 25 (1992)
13. Mehrabani, M.T., Nobari, M.R.H., Tryggvason, G.: An efficient front-tracking method for
simulation of multi-density bubbles. Int. J. Numer. Methods Fluids 84, 445 (2017)
14. Mehrabani, M.T., Nobari, M.R.H., Tryggvason, G.: Accelerating Poisson solvers in front
tracking method using parallel direct methods. Comput. Fluids 118, 101 (2015)
15. Harlow, F.H., Welch, J.E.: Numerical calculation of time-dependent viscous incompressible
flow of fluid with free surface. Phys. Fluids 8, 2182 (1965)
16. Hirt, C.W., Nichols, B.D.: Volume of fluid (VOF) method for the dynamics of free boundaries.
J. Comput. Phys. 39, 201 (1981)
17. Popinet, S.: Gerris: a tree-based adaptive solver for the incompressible Euler equations in
complex geometries. J. Comput. Phys. 190, 572 (2003)
18. Popinet, S.: An accurate adaptive solver for surface-tension-driven interfacial flows. J. Comput. Phys. 228, 5838 (2009)
19. Tripathi, M.K., Sahu, K.C., Govindarajan, R.: Dynamics of an initially spherical bubble rising
in quiescent liquid. Nat. Commun. 6, 6268 (2015)
20. Sussman, M., Puckett, E.G.: A coupled level set and volume-of-fluid method for computing
3D and axisymmetric incompressible two-phase flows. J. Comput. Phys. 162, 301 (2000)
21. Tomar, G., Biswas, G., Sharma, A., Agrawal, A.: Numerical simulation of bubble growth in
film boiling using a coupled level-set and volume-of-fluid method. Phys. Fluids 17, 112103
(2005)
22. Hens, A., Biswas, G., De, S.: Analysis of interfacial instability and multimode bubble formation in saturated boiling using coupled level set and volume-of-fluid approach. Phys. Fluids
26, 012105 (2014)
23. Benjamin, T.B.: Gravity currents and related phenomena. J. Fluid Mech. 31, 209 (1968)
24. Joseph, D.D., Bai, R., Chen, K.P., Renardy, Y.Y.: Core-annular flows. Annu. Rev. Fluid Mech.
29, 65 (1997)
25. Baird, M.H.I., Aravamudan, K., Rama Rao, N.V., Chadam, J., Pierce, A.P.: Unsteady axial
mixing by natural convection in a vertical column. AIChE J. 38, 1825 (1992)
26. Sahu, K.C., Vanka, S.P.: A multiphase lattice Boltzmann study of buoyancy-induced mixing
in a tilted channel. Comput. Fluids 50, 199 (2011)
27. Redapangu, P.R., Sahu, K.C., Vanka, S.P.: A lattice Boltzmann simulation of threedimensional displacement flow of two immiscible liquids in a square duct. J. Fluids Eng.
135, 121202 (2013)
28. Séon, T., Znaien, J., Perrin, B., Hinch, E.J., Salin, D., Hulin, J.P.: Front dynamics and macroscopic diffusion in buoyant mixing in a tilted tube. Phys. Fluids 19(12), 125105 (2007)
29. Séon, T., Salin, D., Hulin, J.P., Hinch, E.J., Perrin, B.: Transient buoyancy-driven front dynamics in nearly horizontal tubes. Phys. Fluids 19, 123603 (2007)
30. Hallez, Y., Magnaudet, J.: Effects of channel geometry on buoyancy-driven mixing. Phys.
Fluids 20, 053306 (2008)
31. Sahu, K.C., Ding, H., Valluri, P., Matar, O.K.: Linear stability analysis and numerical simulation of miscible two-layer channel flow. Phys. Fluids 21, 042104 (2009)
32. Sahu, K.C., Ding, H., Valluri, P., Matar, O.K.: Pressure-driven miscible two-fluid channel
flow with density gradients. Phys. Fluids 21, 043603 (2009)
33. Redapangu, P.R., Vanka, S.P., Sahu, K.C.: Multiphase lattice Boltzmann simulations of
buoyancy-induced flow of two immiscible fluids with different viscosities. Eur. J. Mech.
B/Fluids 34, 105 (2012)
34. Thoroddsen, S.T., Takehara, K.: The coalescence cascade of a drop. Phys. Fluids 12, 1265
(2000)