Large-scale solitary wave simulation with implicit incompressible SPH

This study evaluates the capability of Navier–Stokes solvers in predicting forward and backward plunging breaking, including assessment of the effect of grid resolution, turbulence model, and VoF, CLSVoF interface models on predictions. For this purpose, 2D simulations are performed for four test cases: dam break, solitary wave run up on a slope, flow over a submerged bump, and solitary wave over a submerged rectangular obstacle. Plunging wave breaking involves high wave crest, plunger formation, and splash up, followed by second plunger, and chaotic water motions. Coarser grids reasonably predict the wave breaking features, but finer grids are required for accurate prediction of the splash up events. However, instabilities are triggered at the air–water interface (primarily for the air flow) on very fine grids, which induces surface peel-off or kinks and roll-up of the plunger tips. Reynolds averaged Navier–Stokes (RANS) turbulence models result in high eddy-viscosity in the air–water region which decays the fluid momentum and adversely affects the predictions. Both VoF and CLSVoF methods predict the large-scale plunging breaking characteristics well; however, they vary in the prediction of the finer details. The CLSVoF solver predicts the splash-up event and secondary plunger better than the VoF solver; however, the latter predicts the plunger shape better than the former for the solitary wave run-up on a slope case.

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The Role of Equatorial Rossby Waves in Tropical Cyclogenesis. Part I: Idealized Numerical Simulations in an Initially Quiescent Background Environment

Monthly Weather Review ◽

10.1175/2009mwr3114.1 ◽

2010 ◽

Vol 138 (4) ◽

pp. 1368-1382 ◽

Cited By ~ 15

Author(s):

Jeffrey S. Gall ◽

William M. Frank ◽

Matthew C. Wheeler

Keyword(s):

Tropical Cyclone ◽

Large Scale ◽

Phase Speed ◽

Tropical Cyclogenesis ◽

Initial Amplitude ◽

Low Level ◽

Wave Simulation ◽

Horizontal Momentum ◽

Good Agreement

Abstract This two-part series of papers examines the role of equatorial Rossby (ER) waves in tropical cyclone (TC) genesis. To do this, a unique initialization procedure is utilized to insert n = 1 ER waves into a numerical model that is able to faithfully produce TCs. In this first paper, experiments are carried out under the idealized condition of an initially quiescent background environment. Experiments are performed with varying initial wave amplitudes and with and without diabatic effects. This is done to both investigate how the properties of the simulated ER waves compare to the properties of observed ER waves and explore the role of the initial perturbation strength of the ER wave on genesis. In the dry, frictionless ER wave simulation the phase speed is slightly slower than the phase speed predicted from linear theory. Large-scale ascent develops in the region of low-level poleward flow, which is in good agreement with the theoretical structure of an n = 1 ER wave. The structures and phase speeds of the simulated full-physics ER waves are in good agreement with recent observational studies of ER waves that utilize wavenumber–frequency filtering techniques. Convection occurs primarily in the eastern half of the cyclonic gyre, as do the most favorable conditions for TC genesis. This region features sufficient midlevel moisture, anomalously strong low-level cyclonic vorticity, enhanced convection, and minimal vertical shear. Tropical cyclogenesis occurs only in the largest initial-amplitude ER wave simulation. The formation of the initial tropical disturbance that ultimately develops into a tropical cyclone is shown to be sensitive to the nonlinear horizontal momentum advection terms. When the largest initial-amplitude simulation is rerun with the nonlinear horizontal momentum advection terms turned off, tropical cyclogenesis does not occur, but the convectively coupled ER wave retains the properties of the ER wave observed in the smaller initial-amplitude simulations. It is shown that this isolated wave-only genesis process only occurs for strong ER waves in which the nonlinear advection is large. Part II will look at the more realistic case of ER wave–related genesis in which a sufficiently intense ER wave interacts with favorable large-scale flow features.

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Supplementary material to "ISWFoam: A numerical model for internal solitary wave simulation in continuously stratified fluids"

10.5194/gmd-2021-102-supplement ◽

2021 ◽

Author(s):

Jingyuan Li ◽

Qinghe Zhang ◽

Tongqing Chen

Keyword(s):

Numerical Model ◽

Solitary Wave ◽

Internal Solitary Wave ◽

Stratified Fluids ◽

Wave Simulation ◽

Supplementary Material

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Domain Decomposition for Large-Scale Viscoacoustic Wave Simulation Using Localized Pseudo-Spectral Method

IEEE Transactions on Geoscience and Remote Sensing ◽

10.1109/tgrs.2020.3006614 ◽

2020 ◽

pp. 1-14

Author(s):

Xuebin Zhao ◽

Hui Zhou ◽

Hanming Chen ◽

Yufeng Wang

Keyword(s):

Domain Decomposition ◽

Spectral Method ◽

Large Scale ◽

Wave Simulation ◽

Pseudo Spectral Method ◽

Pseudo Spectral

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LARGE SCALE EXPERIMENTS ON EVOLUTION AND RUN-UP OF BREAKING SOLITARY WAVES

Journal of Earthquake and Tsunami ◽

10.1142/s1793431107000158 ◽

2007 ◽

Vol 01 (03) ◽

pp. 257-272 ◽

Cited By ~ 3

Author(s):

KAO-SHU HWANG ◽

YU-HSUAN CHANG ◽

HWUNG-HWENG HWUNG ◽

YI-SYUAN LI

Keyword(s):

Solitary Wave ◽

Wave Height ◽

Solitary Waves ◽

Water Depth ◽

Large Scale ◽

Scale Effects ◽

Wave Heights ◽

Run Up ◽

Hydraulics Laboratory ◽

The Waves

The evolution and run-up of breaking solitary waves on plane beaches are investigated in this paper. A series of large-scale experiments were conducted in the SUPER TANK of Tainan Hydraulics Laboratory with three plane beaches of slope 0.05, 0.025 and 0.017 (1:20, 1:40 and 1:60). Solitary waves of which relative wave heights, H/h0, ranged from 0.03 to 0.31 were generated by two types of wave-board displacement trajectory: the ramp-trajectory and the solitary-wave trajectory proposed by Goring (1979). Experimental results show that under the same relative wave height, the waveforms produced by the two generation procedures becomes noticeably different as the waves propagate prior to the breaking point. Meanwhile, under the same relative wave height, the larger the constant water depth is, the larger the dimensionless run-up heights would be. Scale effects associated with the breaking process are discussed.

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Large-scale turbulence under a solitary wave: Part 2

Coastal Engineering ◽

10.1016/j.coastaleng.2008.02.018 ◽

2008 ◽

Vol 55 (6) ◽

pp. 522-536 ◽

Cited By ~ 20

Author(s):

Francis C.K. Ting

Keyword(s):

Solitary Wave ◽

Large Scale ◽

Wave Part ◽

Scale Turbulence

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A UNIFIED RUNUP FORMULA FOR BREAKING SOLITARY WAVES ON A UNIFORM BEACH

Coastal Engineering Proceedings ◽

10.9753/icce.v36.currents.3 ◽

2018 ◽

pp. 3

Author(s):

Yun-Ta Wu ◽

Philip Li-Fan Liu ◽

Kao-Shu Hwang ◽

...

Keyword(s):

Solitary Wave ◽

Solitary Waves ◽

Large Scale ◽

Storm Surges ◽

Research Area ◽

Easy Access ◽

Wave Runup ◽

Wave Flume ◽

Long Wave ◽

Analytical Approaches

For coastal management, it is of great importance to understand long-wave induced runup processes and predict maximum runup heights. Long-wave in nature could take different forms, such as swells, storm surges and tsunamis. One of the fundamental waveforms is solitary wave, which has a permanent form in a constant depth. Thus, the issue of solitary wave propagation, shoaling, breaking and runup has been an active research area in coastal engineering community, using experimental, numerical and analytical approaches. Among existing runup experiments, only limited numbers of experiments were conducted in large-scale wave flume facilities because of the lack of easy access. To enhance the range of surf parameters for breaking solitary waves, new laboratory experiments were carried out in a large-scale wave flume with a 1/100 slope. Several wave conditions in the experiments were on the borderline of plunging and spilling breakers. The main objective of this paper is twofold. The first aim is to present a new dataset for solitary wave runup. The second objective aims to develop a unified empirical formula, based on the available runup data in the literature and the present new data, for the runup of breaking solitary waves on a uniform slope.

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Large-scale full-wave simulation

Proceedings of the 41st annual conference on Design automation - DAC '04 ◽

10.1145/996566.996782 ◽

2004 ◽

Cited By ~ 2

Author(s):

Sharad Kapur ◽

David E. Long

Keyword(s):

Large Scale ◽

Wave Simulation ◽

Full Wave

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Some comparisons between heterogeneous and homogeneous layers for nonlinear SH waves in terms of heterogeneous and nonlinear effects

Mathematics and Mechanics of Solids ◽

10.1177/1081286520946357 ◽

2020 ◽

pp. 108128652094635 ◽

Cited By ~ 1

Author(s):

Dilek Demirkuş

Keyword(s):

Solitary Wave ◽

Large Scale ◽

Multiple Scales ◽

Nonlinear Effects ◽

Small Scale ◽

Solitary Wave Solutions ◽

Nls Equation ◽

Sh Waves ◽

Wave Solutions ◽

The One

This paper aims to make some comparative studies between heterogeneous and homogeneous layers for nonlinear shear horizontal (SH) waves in terms of the heterogeneous and nonlinear effects. Therefore, with this aim, two layers are defined as follows: on the one hand, one layer consists of hyperelastic, isotropic, heterogeneous, and generalized neo-Hookean materials; on the other hand, another layer is made up of hyperelastic, isotropic, homogeneous, and generalized neo-Hookean materials. Moreover, it is assumed that upper boundaries are stress-free and lower boundaries are rigidly fixed. The method of multiple scales is used in both analyses, in addition to using the known solutions of the nonlinear Schrödinger (NLS) equation, called bright and dark solitary wave solutions; these comparisons are made, numerically, and then all results are given for the lowest branch of both dispersion relations, graphically. Moreover, these comparisons are observed both on a large scale and on a small scale, not only in terms of the bright and dark solitary wave solutions but also in terms of the heterogeneous and nonlinear effects.

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