Recent Publications or Preprints

  • The conduit equation: hyperbolic approximation and generalized Riemann problem , J. Comput. Phys., 2024 (with S. Gavrilyuk and B. Nkonga).

  • High-resolution boundary variation diminishing scheme for two-phase compressible flow with cavitation and evaporation , J. Comput. Phys., 2024 (with H. Wakimura, T. Li, T. Aoki, and F. Xiao).

  • 2D Serre--Green--Naghdi equations over topography: elliptic operator inversion method , Journal of Hydraulic Engineering, 2023 (with S. Gavrilyuk).

  • Hyperbolicity study of the modulation equations for the Benjamin-Bona-Mahony equation , Studies in Applied Mathematics, 2023 (with S. Gavrilyuk and Y.-H. Lin).

  • Singular solutions of the BBM equation: analytical and numerical study , Nonlinearity, 35, 388-410, 2021 (with S. Gavrilyuk).

  • Hyperbolic approximation of the BBM equation , Nonlinearity, 33, 5477-5509, 2020, computer programs (Fortran) to accompany the paper (with S. Gavrilyuk).

  • Stationary shock-like transition fronts in dispersive systems , Nonlinearity, 33, 5477-5509, 2020 (with S. Gavrilyuk, B. Nkonga, and L. Truskinovsky).

  • Hyperbolicity of the modulation equations for the Serr-Green-Naghdi model , Water Waves, 14~April, 2020 (with S. Tkachenko and S. Gavrilyuk).

  • A numerical model for multiphase liquid-vapor-gas flows with interfaces and cavitation , Intl. J. Multiphase Flow, 113, 208-230, 2019 (with M. Pelanti).

  • High fidelity discontinuity-resolving reconstruction for compressible multiphase flows with moving interfaces , J. Comput. Phys. 371, 945-966, 2018 (with X. Deng, S. Inaba, B. Xie, F. Xiao).

  • An Eulerian interface sharpening algorithm for compressible two-phase flow: The algebraic THINC approach , J. Comput. Phys., 268, 326-354, 2014 (with F. Xiao).

  • A mixture-energy-consistent six-equation two-phase numerical model for fluids with interfaces, cavitation and evaporation waves , J. Comput. Phys., 259, 331-357, 2014 (with M. Pelanti).

  • A mixture-energy-consistent numerical approximation of a two-phase flow model for fluids with interfaces and cavitation , 2012 (with M. Pelanti, to appear in HYP2012 Proceedings).

  • Gas kinetic scheme for anisotropic Savage-Hutter model , Comm. Comput. Phys., 13 (5) 2013 (with W.-C. Chen, C.-Y. Kuo, and Y.-C. Tai).

  • An anti-diffusion based Eulerian interface-sharpening algorithm for compressible two-phase flow with cavitation , Proceedings of the 8th International Symposium on Cavitation 2012, Research Publishing, 2012.

  • An Eulerian interface-sharpening algorithm for compressible gas dynamics , Proceedings of High Performance Scientific Computing: Modeling, Simulation and Optimization of Complex Processes, Springer-Verlag, 2012 (to appear).

  • An adaptive moving-mesh relaxation scheme for compressible two-phase barotropic flow with cavitation , Proceedings of ASME-JSME-KSME Joint Fluids Engineering Conference 2011.

  • A moving-mesh relaxation scheme for one-dimensional barotropic two-phase flow with cavitation , Hyperbolic Problems: Theory, Numerics, Applications, Series in Contemporary Applied Mathematics CAM 18, Higher Education Press, 684-691, 2012.

  • A high-resolution mapped grid algorithm for compressible multiphase flow problems , J. Comput. Phys., 229, 8780-8801, 2010.

  • A cavitation tracking method for elastic-plastic flow in solids , AIP Conference Proceedings, Vol. 1233, 620-625, 2010.

  • A wave propagation method for compressible multiphase flow on mapped grids , April 2009 (unpublished).

  • Numerical simulations of low Mach compressible two-phase flows: Preliminary assessment of some basic solution techniques , ESAIM proceedings, 28, 117-134, 2009 (with B. Braconnier, J.-J. Hu, Y.-Y. Niu, and B. Nkonga).

  • A Simple Unified Coordinates Method for Compressible Homogeneous Two-Phase Flows , Proc. Symp. Appl. Math., American Mathematical Society, Vol 67, 949-958, 2009.

  • A wave-propagation based generalized Lagrangian method for compressible multicomponent flow problems , April 2008 (unpublished).

  • A moving-boundary tracking algorithm for inviscid compressible flow , Hyperbolic Problems: Theory, Numerics, Applications, Springer-Verlag, 989-996, 2008.

  • Role of coordinates in computational fluid dynamics , Int. J. Comput. Fluid Dyn., 22, 3-9, 2008 (with W. H. Hui and J. J. Hu).

  • Mach-uniform methods for compressible two-phase flow problems , Draft, 2006.

  • A wave-propagation based volume tracking method for compressible multicomponent flow in two space dimensions , J. Comput. Phys., 215, 219-24, 2006.

  • A volume-fraction based algorithm for hybrid barotropic and non-barotropic two-fluid flow problems , Shock Waves, 15(6), 407-423, 2006.

  • A fluid-mixture type algorithm for barotropic two-fluid problems , J. comput. Phys. 200, 718-748, 2004.

  • A simple volume tracking method for compressible two-phase flow , J. Korean Astro. Soc. 34, S237-241, 2001.

  • Time evolution of cosmic-ray modified plane shocks , Astrophysical J. 550, 737-751, 2001 (with H. Kang, T. W. Jones, and R. J. LeVeque).

  • A fluid-mixture type algorithm for compressible multicomponent flow with Mie-Grueneisen equation of state , J. Comput. Phys. 171, 678-707, 2001.

  • Numerical simulation of shock waves in bubbly liquids: A preliminary test , June 1999 (unpublished).

  • A fluid-mixture type algorithm for compressible multicomponent flow with van der Waals equation of state, J. Comput. Phys. 156, 43-88,1999.

  • An Eulerian interface-capturing approach for compressible two-Phase flow with van der Waals-type fluids , Sep. 1998 (unpublished).

  • A volume-of-fluid type algorithm for compressible two-Phase flows , Intl. Series of Numerical Mathematics, Vol. 130, Birkhauser-Verlag, 895-904, 1999.

  • An efficient shock-capturing algorithm for compressible multicomponent problems , J. Comput. Phys. 142, 208-242, 1998.

  • Three dimensional front tracking , SIAM J. Sci. Comput. 19, 703-727, 1998 (with J. Glimm, J. Grove, X. L. Li, Y. Zeng, and Q. Zhang).

  • Two-dimensional front tracking based on high resolution wave propagation methods , J. Comput. Phys. 123, 354-368, 1996 (with R. J. LeVeque).

  • One-dimensional front tracking based on high resolution wave propagation methods , SIAM J. Sci. Comput. 16, 348-377, 1995 (with R. J. LeVeque).

  • Front tracking based on high-resolution wave propagation methods , Proc. Symp. Appl. Math., American Mathematical Society, Vol. 48, 383-387, 1994.

  • Front Tracking Methods based on Wave Propagation , Ph.D. Thesis, University of Washington, June 1993.
    Version of September, 2010