## Recent Publications or Preprints

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