Publications

Feng, L., Shirokoff, D., & Choi, W. (2026)

Preconditioning and linearly implicit time integration for the Serre-Green-Naghdi equations. J. Comp. Phys. (To appear).

Barros, R., Doak, A., Choi, W. & Milewski, P. (2026)

A classification of mode-1 internal solitary waves in a three-layer fluid. J. Fluid Mech., 1031, A4.

Choi, W. & Murashige, S. (2026)

High-order strongly nonlinear long wave approximation for variable bottom. J. Fluid Mech., 1028, A34.

Sidorovas, N., Tseluiko, D., Choi, W. & Khusnutdinova, K. (2025)

Internal solitons and cnoidal waves of moderate amplitude in a two-layer fluid: the extended KdV equation approximation. Physica D 481, 134723.

Sidorovas, N., Tseluiko, D., Choi, W. & Khusnutdinova, K. (2024)

Nonlinear concentric water waves of moderate amplitude, Wave Motion 128, 103295.

Choi, W. (2022)

High-order strongly nonlinear long wave approximation and solitary wave solution. Part 2: Internal waves. J. Fluid Mech., 952, A41: 1-29.

Choi, W. (2022)

High-order strongly nonlinear long wave approximation and solitary wave solution - CORRIGENDUM. J. Fluid Mech., 952, E2.

New figures

Choi, W. (2022)

High-order strongly nonlinear long wave approximation and solitary wave solution. J. Fluid Mech., 945, A15: 1-38.

Murashige, S. & Choi, W. (2022)

Two-dimensional stability analysis of finite-amplitude interfacial gravity waves in a two-layer fluid. J. Fluid Mech., 938, A13: 1-27.

Murashige, S. & Choi, W. (2021)

Parasitic capillary waves on small-amplitude gravity waves with a linear shear current. J. Marine Sci. & Eng., 9, 1217.

Murashige, S. & Choi, W. (2021)

Linear stability of transversely modulated finite-amplitude capillary waves on deep water. Studies in Applied Math., 146, 498-525

Choi, W., Chabane, M. and Taklo, T. M. A. (2021)

Two-dimensional resonant triad interactions in a two-layer system. J. Fluid Mech., 907, A5: 1-41

Choi, W., Zhi, C. & Barros, R. (2020)

On unidirectional models with adjusted coefficients for large-amplitude long internal waves. Ocean Modeling, 151, 101643

Taklo, T. M. A. & Choi, W. (2020)

Group resonant interactions between surface and internal gravity waves in a two-fluid system. J. Fluid Mech., 892, A14: 1-39

Murashige, S. & Choi, W. (2020)

Stability analysis of deep water waves on a linear shear current using unsteady conformal mapping, J. Fluid Mech., 885, A41: 1-27

Barros, R., Choi, W., & Milewski, P. (2020)

Strongly nonlinear effects on internal solitary waves in three-layer flows, J. Fluid Mech., 883, A16: 1-36

Choi, W. (2019)

On Rayleigh expansion for nonlinear long water waves, J. of Hydrodynamics, 31 , 1115-1126 (on celebrating Prof. Theodore Y.-T. Wu’s 95th Birthday)

Choi, W. (2019)

Fifth-order nonlinear spectral model for surface gravity waves: From pseudo-spectral to spectral formulations, Proceedings of the RIMS workshop on nonlinear waves (in honor of Mitsuhiro Tanaka on the occasion of his retirement), ed. by S. Murashige. Kyoto Univ., Japan, 47-60 (ISBN: 1880-2818)

Chabane, M. & Choi, W. (2019)

On resonant interactions of gravity-capillary waves without energy exchange, Studies in Applied Math., 142 , 528-550

Murashige, S. & Choi, W. (2017)

A numerical study on parasitic capillary waves using unsteady conformal mapping, J. Comp. Phys., 328 , 234-257

Kodaira, T., Waseda, T., Miyata, M. & Choi, W. (2016)

Internal solitary waves in a two-fluid system with a free surface, J. Fluid Mech., 804 , 201-223

Yoon, S., Kim, J. & Choi, W. (2016)

An explicit data assimilation scheme for a nonlinear wave prediction model based on a pseudo-spectral method. IEEE J. of Oceanic Engineering, 41 , 112-122

Murashige, S. & Choi, W. (2015)

High-order Davies’ approximation for a solitary wave solution in Packham’s complex plane. SIAM J. Applied Mathematics, 75 , 189-208

Barros, R. & Choi, W. (2014)

Elementary stratified flows with stability at low Richardson number. Physics of Fluids, 26 , 124107

Barros, R. & Choi, W. (2013)

On regularizing the strongly nonlinear model for two-dimensional internal waves. Physica D, 264 , 27-34

Tian, Z. & Choi, W. (2013)

Evolution of deep-water waves under wind forcing and wave breaking effects: Numerical simulations and experimental assessment. Eur. J. Mech./B Fluids, 41 , 11-22

Perlin, M., Choi, W. & Tian, Z. (2013)

Breaking waves in deep and intermediate waters. Ann. Rev. Fluid Mech., 45 , 115-145

Tiron, R. & Choi, W. (2012)

Linear Stability of finite amplitude capillary waves on water of infinite depth. J. Fluid Mech., 696 , 402-422

Tian, Z., Perlin, M. & Choi, W. (2012)

An eddy viscosity model for two-dimensional breaking waves and its validation with laboratory experiments. Physics of Fluids, 24 , 036601

Barros, R. & Choi, W. (2011)

Holmboe instability in non-Boussinesq fluids. Physics of Fluids, 23 , 124103

Tian, Z., Perlin, M. & Choi, W. (2011)

Frequency spectra evolution of two-dimensional focusing wave groups in finite depth water. J. Fluid Mech., 688 , 169-194

Choi, W., Goullet, A. & Jo, T.-C. (2011)

An iterative method to solve a regularized model for strongly nolinear long internal waves. J. Comp. Physics, 230 , 2021-2030

Goullet, A. & Choi, W. (2011)

A numerical and experimental study on the nonlinear evolution of long-crested irregular waves. Physics of Fluids, 23, 016601

Tian, Z., Perlin, M. & Choi, W. (2010)

Energy dissipation in two-dimensional unsteady plunging breakers and an eddy viscosity model. J. Fluid Mech., 655 , 217-257

Choi, W., Barros, R. & Jo, T.-C. (2009)

A regularized model for strongly nonlinear internal solitary waves. J. Fluid Mech., 629 , 73-85

Choi, W. (2009)

Nonlinear surface waves interacting with a linear shear current. Mathematics and Computers in Simulations, 80 , 29-36

Barros, R. & Choi, W. (2009)

Inhibiting shear instability induced by large amplitude internal solitary waves in two-layer flows with free surface. Studies in Applied Math., 122 , 325-346

De Zarate, A. R., Vigo, D. G. A., Nachbin, A. & Choi, W. (2009)

A higher-order internal wave model accounting for large bathymetric variations. Studies in Applied Math., 122 , 275-294

Barros, R.& Choi, W. (2008)

On the hyperbolicity of two-layer flows. Frontiers of Applied and Computational Mathematics, edited by D. Blackmore, A. Bose and P. Petropoulos, World Scientific, 95-103

Goullet, A. & Choi, W. (2008)

Large amplitude internal solitary waves in a two-layer system of piecewise linear stratification. Physics of Fluids, 20 , 096601

Tian, Z., Perlin, M. & Choi, W. (2008)

Evaluation of a deep water wave breaking criterion. Physics of Fluids, 20 , 066604

Jo, T.-C. & Choi, W. (2008)

On stabilizing the strongly nonlinear internal wave model. Studies in Applied Math., 120 , 65-85

Kent, C. P. & Choi, W. (2007)

An explicit formulation for the evolution of nonlinear surface wave interacting with a submerged body. Int. J. Num. Methods in Fluids, 55 , 1019-1038

Nachbin, A. & Choi, W. (2007)

Nonlinear waves over highly variable topography. Eur. Phys. J. ST,, 147 , 113-132

Choi, W. & Lyzenga, D. R. (2006)

Nonlinear surface wave dynamics in slowly varying ocean environments. Proceedings of the 26th Symposium on Naval Hydrodynamics

Choi, W. (2006)

The effect of a background shear current on large amplitude internal solitary waves. Phys. of Fluids, 18 , 036601

Camassa, R., Choi, W., Michallet, H., Rusas, P.-O., & Sveen, J. K. (2006)

On the realm of validity of strongly nonlinear asymptotic approximations for internal waves. J. Fluid Mech., 549 , 1-23

Choi, W., Kent, C. P., & Schillinger, C.J. (2005)

Numerical modeling of nonlinear surface waves and its validation. Advances in Engineering Mechanics – Reflections and outlooks in honor of Theodore Y.-T. Wu., edited by A.T. Chwang, M.H. Teng & D.T. Valentine, 94-110

Choi, W. & Kent, C. P. (2004)

A pseudo-spectral method for nonlinear free surface hydrodynamics. Proceedings of the 25th Symposium on Naval Hydrodynamics

Li, Y. A., Hyman, J. M., & Choi, W. (2004)

A numerical study of the exact evolution equations for surface waves in water of finite depth. Studies in Applied Math., 113 , 303-324

Choi, W., Prasad, D., Camassa, R., & Ecke, R. E. (2004)

Traveling waves in the Rayleigh-Bernard convection with rotation. Phys. Rev. E, 69 , 05631

Choi, W. (2003)

Strongly nonlinear long gravity waves in uniform shear flows. Phys. Rev. E, 68 , 026305

Jo, T. & Choi, W. (2002)

Dynamics of strongly nonlinear internal solitary waves in shallow water. Studies in Applied Math., 109 , 205-228

Choi, W. (2000)

Modeling of strongly nonlinear internal waves in a multilayer system. Proceedings of the Fourth International Conf. on Hydrodynamics (Goda, Y., Ikehata, M. and Suzuki, K., Eds), pp453—458

Choi, W. & Camassa, R. (1999)

Fully nonlinear internal waves in a two-fluid system. J. Fluid Mech., 396 , 1-36

Choi, W. & Camassa, R. (1999)

Exact evolution equations for surface waves. J. Eng. Mech. 125 , 756-760

Choi, W. (1997)

On the fission of algebraic solitons. Proc. Roy. Soc. Lond. A 453 , 1753-1762

Choi, W. & Camassa, R. (1996)

Weakly nonlinear internal waves in a two-fluid system. J. Fluid Mech., 313 , 83-103

Choi, W. & Camassa, R. (1996)

Long internal waves of finite amplitude. Phys. Rev. Lett., 77 , 1759-1762

Choi, W. & Wu, T. Y. (1996)

Vortex solitons in a rotating fluid within a non-uniform tube. Wave Motion, 24 , 243-262

Choi, W. (1995)

Nonlinear evolution equations for two-dimensional surface waves in a fluid of finite depth. J. Fluid Mech., 295, 381-394