Abstract
Two-phase Reynolds Averaged Navier-Stokes (RANS) simulations of breaking waves are susceptible to an unphysical thickening of the plunging crest. This is often times incorrectly attributed to deficiencies in the interface capturing scheme although, in reality, the issue stems from the nature of density treatment in momentum advection. If the density is considered face-centered in the advection term, the resulting formulation is conservative whilst if the density is modeled as a cell-centered quantity, the resulting formulation is non-conservative. Despite both approaches having been extensively applied to wave-breaking simulations in the literature, there is no study comparing both formulations for the same breaking scenario. In the present paper, we extensively compare both formulations for several depth- and steepness-induced breaking problems simulated using our in-house solver: IITM-RANS3D. Through these simulations, our work successfully addresses the following research questions: (a) how and why density treatment affects the physics of overturning and subsequently the plunging jet’s topology and (b) what are the implications of choosing a particular formulation for simulating a violent wave-structure interaction scenario?References
Aggarwal, A., H. Bihs, D. Myrhaug, and M.A. Chella. 2019. Characteristics of breaking irregular wave
forces on a monopile, Applied Ocean Research, ELSEVIER, 90, 101846.
Aggarwal, A., M.A. Chella, H. Bihs, and D. Myrhaug. 2020. Properties of breaking irregular waves
over slopes, Ocean Engineering, ELSEVIER, 216, 108098.
Bussmann, M., D.B. Kothe and J.M. Sicilian. 2002. Modeling high density ratio incompressible
interfacial flows, ASME 2002 Joint U.S.-European Fluids Engineering Division Conference,
ASME, vol. 1, pp. 707-713.
Chella, M.A., H. Bihs, D. Myrhaug, and M. Muskulus. 2017. Breaking solitary waves and breaking
wave forces on a vertically mounted slender cylinder over an impermeable sloping seabed, Journal
of Ocean Engineering and Marine Energy, SPRINGER, 3, 1-19.
Chella, M.A., H. Bihs, and D. Myrhaug. 2019. Wave impact pressure and kinematics due to breaking
wave impingement on a monopile, Journal of Fluids and Structures, ELSEVIER, 86, 94-123.
Desmons, F., and M. Coquerelle. 2021. A generalized high-order momentum preserving (HOMP)
method in the one-fluid model for incompressible two phase flows with high density ratio, Journal
of Computational Physics, ELSEVIER, 437, 110322.
Grilli, S.T., P. Guyenne, and F. Dias. 2001. A fully non-linear model for three-dimensional overturning
waves over an arbitrary bottom, International Journal for Numerical Methods in Fluids, WILEY,
, 829-867.
Li, Y., and F. Raichlen. 2003. Energy Balance Model for Breaking Solitary Wave Runup, Journal of
Waterway, Port, Coastal, and Ocean Engineering, ASCE, 129, 47-59.
Mirzaii, I., and M. Passandideh-Fard. 2012. Modeling free surface flows in presence of an arbitrary
moving object, International Journal of Multiphase Flow, ELSEVIER, 39, 216-226.
Saincher, S., and J. Banerjee. 2018. Two-Phase Navier-Stokes Simulations of Plunging Breaking
Waves, Proceedings of the 7th International and 45th National Conference on Fluid Mechanics and
Fluid Power (FMFP 2018 - held at IIT Bombay, India).
Saincher, S., and V. Sriram. 2022a. An efficient operator-split CICSAM scheme for three-dimensional
multiphase-flow problems on Cartesian grids, Computers & Fluids, ELSEVIER, 240, 105440.
Saincher, S., and V. Sriram. 2022b. A three dimensional hybrid fully nonlinear potential flow and
Navier Stokes model for wave structure interactions, Ocean Engineering, ELSEVIER, 266,
Sriram, V., S.A. Sannasiraj, and V. Sundar. 2006. Simulation of 2-D nonlinear waves using finite
element method with cubic spline approximation, Journal of Fluids and Structures, ELSEVIER,
, 663-681.
Sriram, V., Q.W. Ma, and T. Schlurmann. 2014. A hybrid method for modelling two dimensional nonbreaking
and breaking waves, Journal of Computational Physics, ELSEVIER, 272, 429-454.
Sriram, V., T. Schlurmann, and S. Schimmels. 2015. Focused wave evolution using linear and second
order wavemaker theory, Applied Ocean Research, ELSEVIER, 53, 279-296.
Stagonas, D., R. Ravindar, V. Sriram, and S. Schimmels. 2020. Experimental evidence of the influence
of recurves on wave loads at vertical seawalls, Water, MDPI, 12, 889.
Xie, Z. 2011. Numerical study of breaking waves by a two-phase flow model, International Journal for
Numerical Methods in Fluids, WILEY, 70, 246-268.
Xie, Z. 2015. A two-phase flow model for three-dimensional breaking waves over complex
topography, Proceedings of the Royal Society A, THE ROYAL SOCIETY, 471, 20150101.
Xie, Z., and T. Stoesser. 2020. Two-phase flow simulation of breaking solitary waves over surfacepiercing
and submerged conical structures, Ocean Engineering, ELSEVIER, 213, 107679.
Xie, Z., and P. Lin. 2022. Eulerian and Lagrangian transport by shallow-water breaking waves, Physics
of Fluids, AIP, 34, 032116.
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