2019a Chaoxu Pei, M. Sussman, and M. Yousuff Hussaini (2019). New Multi-implicit Space-Time Spectral Element Methods for Advection-Diffusion-Reaction Problems. Journal of Scientific Computing, 78(2), 653-686.
2019b M. Ohta, T. Furukawa, Y. Yoshida, M. Sussman (2019). A three-dimensional numerical study on the dynamics and deformation of a bubble rising in a hybrid Carreau and FENE-CR modeled polymeric liquid. Journal of Non-Newtonian Fluid Mechanics, 265, 66-78.
2019c Chaoxu Pei, M. Sussman, and M. Yousuff Hussaini (2019). A Space-Time Discontinuous Galerkin Spectral Element Method for Nonlinear Hyperbolic Problems. International Journal of Computational Methods, 16(1), 1850093.
2018a Chaoxu Pei, M. Sussman, and M. Yousuff Hussaini (2018). A Space-Time Discontinuous Galerkin Spectral Element Method for the Stefan problem. Discrete and Continuous Dynamical Systems Series B, 23.9: 3595-3622.
2018b M. Vahab, K. Shoele, and M. Sussman (2018). Interaction of an Oscillating Flexible Plate and Nucleate Pool Boiling Vapor Bubble: Fluid-Structure Interaction in a Multimaterial Multiphase System. In: 2018 Fluid Dynamics Conference, AIAA AVIATION Forum, (AIAA 2018-3718)
2017a M. Arienti and M. Sussman (2017). A Numerical Study of the Ther- mal Transient in High-Pressure Diesel Injection. International Journal of Multiphase flow, volume 88, pages 205-221.
2016a Y. Guo, Y. Lian, and M. Sussman: Investigation of drop impact on dry and wet surfaces with consideration of surrounding air. In: Physics of Fluids 28, 073303 (2016).
2015a M. Vahab, M.Y. Hussaini, M. Sussman, Y. Lian: An Adaptive coupled level set and moment-of-fluid method for simulating droplet impact and solidification on solid surfaces with application to aircraft icing. Extended abstract accepted for presentation at the 54th AIAA Aerospace Sciences Meeting 2016.
2015b (with G. Li, Y. Lian, Y. Guo, M. Jemison, T. Helms, and M. Arienti): Multiphase flow and Encapsulation simulations using the moment of fluid method In: International Journal for Numerical Methods in Fluids 79.9 (2015), pp. 456-490.
2015c (with M. Jemison and M. Shashkov): Filament Capturing with the Multimaterial Moment-of-Fluid Method In: Journal of Computational Physics 285, pp. 149-172.
2014b (with M. Arienti): An Embedded Level Set Method for Sharp-Interface Multiphase Simulations of Diesel Injectors In: International Journal of Multiphase Flow 59, pp. 1-14.
2014c (with M. Ohta, Y. Akama, and Y. Yoshida): Influence of the viscosity ratio on drop dynamics and breakup for a drop rising in an immiscible low-viscosity liquid. In: Journal of Fluid Mechanics 752, pp. 383-409.
2013a (with M. Jemison, E. Loch, M. Shashkov, M. Arienti, M. Ohta and Y. Wang): A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows In: Journal of Scientific Computing 54(2-3), pp. 454-491.
2013b (with M. Arienti, X. Li, M. Soteriou, C. Eckett, and B. Jensen): Coupled Level-Set/Volume-of-Fluid Method for simulation of injector atomization. In: Journal of Propulsion and Power 29, pages 147-157.
2012a (with Y. Wang and S. Simakhina): A hybrid level set/volume constraint method for incompressible two-phase flow. In: Journal of Computational Physics 231(19), 6438-6471.
2012b (with M. Ohta and K. Hashimoto and K. Naito and Y. Matsuo): Numerical Analysis of Gas-Liquid Bubble Flow in a Horizontal Rectangular Channel. In: Journal of Chemical Engineering of Japan 45(2), pp. 102-106 (short communication).
2012c : A method for overcoming the surface tension time step constraint in multiphase flows II. In: International Journal for Numerical Methods in Fluids , 68(11), pages 1343-1361.
2012d (with M. Ohta): The buoyancy-driven motion of a single skirted bubble or drop rising through a viscous liquid. In: Physics of Fluids 24(11), 112101 (18 pages).
2012e (with M. Ohta, S. Kimura, T. Furukawa, Y. Yoshida): Numerical Simulations of a bubble rising through a shear-thickening fluid. In: Journal of Chemical Engineering of Japan , 45(9), pages 713-720.
2011a (with M. Ohta and D. Kikuchi and Y. Yoshida): Robust numerical analysis of the dynamic bubble formation process in a viscous liquid. In: International Journal of Multiphase Flow 37(9), pages 1059-1071.
2011b (with A. Duffy and A. Kuhnle):
AN IMPROVED VARIABLE DENSITY PRESSURE PROJECTION
SOLVER FOR ADAPTIVE MESHES.
In: preprint
00, pp. 00000.
[http://www.math.fsu.edu/~sussman].
Click here for pdf.
2010a (with M. Ohta and S. Yamaguchi and Y. Yoshida): The sensitivity of drop motion due to the density and viscosity ratio. In: Physics of Fluids 22, pp. 072102.
2010b (with M. Ohta and Y. Yoshida): A computational study of dynamic processes of a bubble rising in Carreau model fluids. In: Fluid Dynamics Research 42, pp. 025501.
2010c (with X. Li, M. Arienti, M. Soteriou):
High-Fidelity Methodology for Liquid Jet Atomization Computations
In: AIAA-2010-0210, 48th AIAA Aerospace Sciences Meeting 2010
00, pp. 000000
[http://www.math.fsu.edu/~sussman].
Click here for pdf.
2009a (with M. Ohta and K. Onodera and Y. Yoshida): Three-dimensional simulations of the dynamic motion of single drops rising in viscoelastic FENE-CR model fluids. In: J. Chemical Engineering Japan 42(10), pp. 705-712.
2009b (with M. Ohta and Y. Akama and Y. Yoshida): Three-dimensional simulation of the evolution process to vortex rings of falling drops in an immiscible viscous liquid. In: J. Chemical Engineering Japan 42, pp. 648.
2009c (with M. Ohta): A stable and efficient method for treating surface tension in incompressible two-phase flow. In: SIAM J. Sci. Comput. 31(4), pp. 2447-2471.
2009d (with Mihalef, Metaxas, and Axel): Atrioventricular
blood flow simulation based on patient-specific data. In: Proc.
of the 2009 fifth intl. conf. on funct. imaging and modeling of the heart
[http://www.math.fsu.edu/~sussman].
Click here for pdf.
2009e (with Mihalef and Metaxas): Simulation of two-phase
flow with sub-scale droplet and bubble effects. In: Comput. Graph.
Forum 28(2), 229-238 [http://www.math.fsu.edu/~sussman].
Click here for pdf.
2008a (with S. Kadioglu): Adaptive solution techniques for simulating underwater explosions and implosions. In: Journal of Computational Physics 227, pp. 2083-2104.
2008b (with P.A. Stewart, N. Lay and M. Ohta): An improved sharp interface method for viscoelastic and viscous two-phase flows. In: Journal of Scientific Computing 35(1), pp. 43-61. Click here for pdf.
2008d (with M. Ohta, M. Tsuji and Y. Yoshida): The transient dynamics of a small bubble rising in a low morton number regime. In: Chem. Eng. Technol. 31(9), pp. 1-9.
2007a (with M. Ohta, D. Kikuchi and Y. Yoshida): Direct numerical simulation of the slow formation process of single bubbles in a viscous liquid. In: J. Chem. Eng., Japan 40, pp. 939-943.
2007b (with G. Tryggvason and M.Y. Hussaini): Immersed boundary methods for fluid interfaces [In Computational Methods for Multiphase Flow, A. Prosperetti and G. Tryggvason, Editors.].
2007c (with M. Ohta): Improvements for calculating two-phase bubble and drop motion using an adaptive sharp interface method. In: Fluid Dynamics and Materials Processing 3(1), pp. 21-36.
2007d (with V. Mihalef, S. Kadioglu, D. Metaxas and V. Hurmusiadis): Interaction of multiphase flow with animated models. In: Graphical Models 70, pp. 33-42. Click here for pdf.
2007e (with K.M. Smith, M.Y. Hussaini, M. Ohta and R. Zhi-Wei): A sharp interface method for incompressible two-phase flows. In: J. Comp. Phys. 221(2), pp. 469-505.
2007f (with A. VanderWyst, A. Christlieb and I.D. Boyd): Simulation of liquid metal droplets from field emission. In: Communications in Computational Physics 2(4), pp. 640-661.
2007g (with V. Mihalef and D. Metaxas): Textured liquids based on the marker level set. In: Proceedings of the 2007 Eurographics symposium. Eurographics Association: Prague, Czech Republic. Click here for pdf.
2007h (with M. Ohta): High-order Techniques for Calculating Surface Tension Forces. In: International Series of Numerical Mathematics, Free Boundary Problems, volume 154, pages 425-434. Click here for pdf.
2007i (with H. Touil and M.Y. Hussaini): Tracking discontinuities in hyperbolic conservation laws with spectral accuracy. In: J. Comp. Phys. 225(2), pp. 1810-1826.
2006a (with D.G. Dommermuth, T.T. O'Shea, D. Wyatt, G. Weymouth, D. Yue, P. Adams and R. Hand): The numerical simulation of ship waves using cartesian-grid and volume-of-fluid methods. In: proceedings of the Twenty Sixth Symposium on Naval Hydro. Rome. Click here for pdf.
2006b (with V. Mihalef, B. Unlusu, D. Metaxas and M.Y. Hussaini): Physics-based boiling simulation. In: Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation. Eurographics Association: Vienna, Austria. Click here for pdf.
2006c (with M. Ohta and Y. Yoshida): Three-dimensional computations of the motion of a newtonian drop rising through immiscible quiescent shear-thinning liquids. In: J. Chem. Eng., Japan 39(4), pp. 394-400.
2005a (with E. Jimenez and M. Ohta): A computational study of bubble motion in newtonian and viscoelastic fluids. In: Fluid Dynamics and Materials Processing 1(2), pp. 97-108.
2005b (with M. Ohta, T. Imura and Y. Yoshida): A computational study of the effect of initial bubble conditions on the motion of a gas bubble rising in viscous liquids. In: International Journal of Multiphase Flow 31(2), pp. 223-237.
2005c: A parallelized, adaptive algorithm for multiphase flows in general geometries. In: Computers and Structures 83, pp. 435-444. Click here for Journal link of paper.
2005d (with S. Kadioglu, S. Osher, J.P. Wright and M. Kang): A second order primitive preconditioner for solving all speed multi-phase flows. In: Journal of Computational Physics 209(2), pp. 477-503.
2005e (with M. Ohta, S. Haranaka and Y. Yoshida): Three-dimensional numerical simulations of the effect of initial bubble conditions on the motion of a bubble rising in viscous liquids. In: J. Chem. Eng., Japan 38(11), pp. 878-882.
2004a (with V. Mihalef and D. Metaxas): Animation and control of breaking waves. In: Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer Animation. Eurographics Association: Grenoble, France. Click here for pdf.
2004b (with D.G. Dommermuth, R. Beck, T.T. O'Shea and D. Wyatt): The numerical simulation of ship waves using cartesian grid methods with adaptive mesh refinement. In: proceedings of the Twenty Fifth Symposium on Naval Hydro. St. Johns, New Foundland and Labrador, Canada. Click here for pdf.
2004c (with M.Y. Hussaini, K. Smith, R. Zhi-Wei and V. Mihalef): A second order adaptive sharp interface method for incompressible multiphase flow. In: Proceedings of the 3rd international conference on Computational Fluid Dynamics, ICCFD3. Toronto, Canada.
2003a (with M.Y. Hussaini): A discontinuous spectral element method for the level set equation. In: J. Scientific Computing 19, pp. 479-500.
2003b: A second order coupled levelset and volume of fluid method for computing growth and collapse of vapor bubbles. In: Journal of Computational Physics 187, pp. 110-136.
2003c (with M. Ohta, S. Haranaka and Y. Yoshida): Three dimensional simulation of the motion of a gas bubble rising in viscous liquid. In: J. Chem. Eng., Japan (special issue) 37(8), pp. 968-975.
september 2002a (with M. Ohta and Y. Yoshida): Numerical simulations of bubble motion by a coupled level set/vof (clsvof) method. In: Proceedings of the 35th Annual Meeting of the Society of Chemical Engineers. Japan.
september 2002b (with M. Ohta, H. Tomisawa, H. Nagasawa and Y. Yoshida): Systematic arrangement of the motion of a rising drop in pseudoplastic systems. In: Proceedings of the 35th Annual Meeting of the Society of Chemical Engineers. Japan.
2001: Computing droplet break-up using an adaptive coupled level set/volume-of-fluid method for incompressible two-phase flow in general geometries. In: CFD Journal 9, No. 1.
2000a: An adaptive mesh algorithm for free surface flows in general geometries. In: Wouwer, A. VandeSaucez, Ph.Scheisser, W.E. (eds.): Adaptive Method of lines. Chapman and Hall/CRC Press, pp. 207-231.
2000b (with E.G. Puckett): A coupled level set and volume of fluid method for computing 3D and axisymmetric incompressible two-phase flows. In: J. Comp. Phys. 162, pp. 301-337.
September 2000c (with D. Dommermuth): The numerical simulation of ship waves using cartesian grid methods. In: Proceedings of the 23rd symposium on naval hydrodynamics [Val-De-Reuil, France]. Click here for pdf.
1999a (with A. Almgren, J. Bell, P. Colella, L. Howell and M. Welcome): An adaptive level set approach for incompressible two-phase flows. In: J. Comput. Phys. 148, pp. 81-124.
1999b: Computing droplet break-up using an adaptive coupled level set/volume-of-fluid method for incompressible two-phase flow in general geometries. In: computers and fluids [to appear].
1999c (with E. Fatemi): An efficient, interface preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow. In: SIAM J. Sci. Comput. 20, No. 4, pp. 1165-1191.
1999d (with P. Colella, D.T. Graves, D. Modiano and E.G. Puckett): An embedded boundary/volume of fluid method for free surface flows in irregular geometries. In: proceedings of the 3rd ASME/JSME joint fluids engineering conference. San Francisco, CA (= FEDSM99-7108). Click here for pdf.
1999e (with I. Aleinov and E.G. Puckett): Formation of droplets in microscale jetting devices. In: proceedings of the 3rd ASME/JSME joint fluids engineering conference. San Francisco, CA (= FEDSM99-7106). Click here for pdf.
July 1998a (with S.
Uto): Computing oil spreading underneath a sheet of ice.
Technical Report CAM Report 98-32, University of California, Los
Angeles.
Click here for pdf.
1998b (with E. Fatemi, P. Smereka and S.J. Osher): An improved level set method for incompressible two-phase flows. In: Journal of Computers and Fluids 27, No. 5-6, pp. 663-680.
1997 (with P. Smereka): Axisymmetric free boundary problems. In: J. Fluid Mech. 341, pp. 269-294.
June 1996 (with E. Fatemi, P. Smereka and S.J. Osher): Computing incompressible two-phase flows using the level set method. In: CFD Symposium for Free-Surface Flows.
September 1995a (with E. Fatemi, P. Smereka and S.J. Osher): A level set approach for computing solutions to incompressible two-phase flow ii. In: Sixth International Symposium on Computational Fluid Dynamics. Volume III.
November 1995b (with D. Marcus and D. Chambers): Relaxation spectra of surface waves. In: Proceedings of the 1995 International Mechanical Engineering Congress and Exposition. Reno, NV. D. Marcus, M. Sussman, D. Chambers, 1995
June 1994a: A
level set approach for computing solutions to incompressible two-phase flow.
Technical Report CAM Report 94-13, University of California, Los
Angeles [PhD thesis].
My PhD thesis
1994b (with P. Smereka and S.J. Osher): A level set approach for computing solutions to incompressible two-phase flow. In: J. Comput. Phys. 114, pp. 146-159.
E. Jimenez, Manual for Adaptive, Parallel, Multiphase simulator, code available on request.