Closure to “Breaking Criterion and Characteristics for Solitary Waves on Slopes” by S. T. Grilli, I. A. Svendsen, and R. Subramanya

Grilli, Stéphan T.; Svendsen, Ib A.; Subramanya, R.

doi:10.1061/(asce)0733-950x(1998)124:6(333)

Cited by 7 publications

(12 citation statements)

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“…In the 2D-FNPF models (and NWTs) initially developed [19][20][21][22][23][24][25], both the solution method (based on a direct Gaussian elimination scheme) and the computation of the matrix elements limited the size of problems that could be handled. For the integration of free-surface boundary conditions (i.e., time updating), a fourth-order multistep implicit Adams-Bashforth-Moulton predictor-corrector scheme (ABM4, initialized by a fourth-order Runge-Kutta (RK4) scheme), or an explicit second-order Taylor expansion scheme, were used.…”

Section: Background Of Fnpf Theory and Free-surface Waves Modelingmentioning

confidence: 99%

“…A numerical algorithm was proposed to accommodate the singularity resulting from satisfying conflicting boundary conditions near the intersection point. This aspect was revisited by Grilli and Subramanya [25] in the context of a different BEM model implementation, which used double nodes with specific continuity and compatibility conditions, and extended to the generation of waves by paddle flap or piston wavemakers [24,25].…”

Section: Background Of Fnpf Theory and Free-surface Waves Modelingmentioning

confidence: 99%

“…In a series of research papers that represents the basis for the present work [32][33][34][35], Grilli and co-workers developed an accurate and versatile 3D-NWT based on FNPF theory, which directly extended their earlier 2D work (e.g., [17,24,25]). This 3D-NWT was initially based on combining a third-order BEM, based on a free-space Green's function in the physical space, with an explicit time updating based on second-order Taylor series expansions, in a mixed Eulerian-Lagrangian (MEL) formulation [32,33].…”

Section: Background Of Fnpf Theory and Free-surface Waves Modelingmentioning

confidence: 99%

“…Boundary conditions for a plane (2D) piston wavemaker were derived in [24,25], for generating solitary cnoidal or other types of elementary waves, Fochesato et al, [34] extended this 2D wavemaker generation to arbitrary irregular waves, based on a target wave energy spectrum, and the possibility to correct the wavemaker stroke function for reflection in the NWT, In the 3D-NWT, Grilli and co-workers implemented a snake flap wavemaker to model 3D wave focusing (see [34]),…”

Section: Piston Wavemaker Motion and Wave Generationmentioning

confidence: 99%

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An Efficient Three-Dimensional FNPF Numerical Wave Tank for Large-Scale Wave Basin Experiment Simulation

Nimmala¹,

Yim

Grilli

2013

Journal of Offshore Mechanics and Arctic Engineering

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This paper presents a parallel implementation and validation of an accurate and efficient three-dimensional computational model (3D numerical wave tank), based on fully nonlinear potential flow (FNPF) theory, and its extension to incorporate the motion of a laboratory snake piston wavemaker, as well as an absorbing beach, to simulate experiments in a large-scale 3D wave basin. This work is part of a long-term effort to develop a “virtual ” computational wave basin to facilitate and complement large-scale physical wave-basin experiments. The code is based on a higher-order boundary-element method combined with a fast multipole algorithm (FMA). Particular efforts were devoted to making the code efficient for large-scale simulations using high-performance computing platforms. The numerical simulation capability can be tailored to serve as an optimization tool at the planning and detailed design stages of large-scale experiments at a specific basin by duplicating its exact physical and algorithmic features. To date, waves that can be generated in the numerical wave tank (NWT) include solitary, cnoidal, and airy waves. In this paper we detail the wave-basin model, mathematical formulation, wave generation, and analyze the performance of the parallelized FNPF-BEM-FMA code as a function of numerical parameters. Experimental or analytical comparisons with NWT results are provided for several cases to assess the accuracy and applicability of the numerical model to practical engineering problems. [DOI: 10.1115/1.4007597

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Section: Background Of Fnpf Theory and Free-surface Waves Modelingmentioning

confidence: 99%

Section: Background Of Fnpf Theory and Free-surface Waves Modelingmentioning

confidence: 99%

Section: Background Of Fnpf Theory and Free-surface Waves Modelingmentioning

confidence: 99%

Section: Piston Wavemaker Motion and Wave Generationmentioning

confidence: 99%

See 2 more Smart Citations

An Efficient Three-Dimensional FNPF Numerical Wave Tank for Large-Scale Wave Basin Experiment Simulation

Nimmala¹,

Yim

Grilli

2013

Journal of Offshore Mechanics and Arctic Engineering

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“…In the absence of surface tension and viscosity, wave breaking is initiated by an overturning motion at the tip of the wave crest [17]. For such cases, the potential flow solution has been shown to be in good agreement with experiments [14,[28][29][30]. We do not attempt to model the subsequent turbulent part of breaking, with air entrainment and bubbles.…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of extreme rogue waves generated by directional energy focusing

2007

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Fully Nonlinear Potential Flow Simulations of Wave Shoaling Over Slopes: Spilling Breaker Model and Integral Wave Properties

2019

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A spilling breaker model (SBM) is implemented in an existing two-dimensional (2D) numerical wave tank (NWT), based on fully nonlinear potential flow (FNPF) theory and the boundary element method (BEM), in which an absorbing surface pressure is specified over the crest of impending breaking waves (detected based on a maximum front slope criterion) to simulate the power dissipated during breaking. The latter is calibrated to match that of a hydraulic jump of parameters identical to local wave properties (height, celerity,. . .). Although this model is not aimed at being fully physical in the surfzone, it allows more accurately simulating properties of fully nonlinear shoaling waves than standard empirical absorbing beaches (AB). After assessing the convergence with the discretization of 2D-NWT results for strongly nonlinear shoaling waves, simulations are first validated based on laboratory experiments for non-breaking and breaking waves, shoaling up a mild slope; a good agreement is found between both. The NWT is then used to compute fully nonlinear local (height, celerity, asymmetry) and integral (mean-water-level, radiation stress) properties of periodic waves shoaling over mild slopes. Discrepancies with standard results of wave theories are discussed in light of fully nonlinear effects modeled in the NWT. While only periodic waves are considered here, the SBM could be applied to shoaling irregular waves, for which the breaking point location will constantly vary, which would be advantageous compared to an AB fixed in space. For such cases, besides its more physical energy absorption, the SBM would allow better preventing wave overturning that may occur far from shore due to nonlinear wave-wave interactions and otherwise interrupt the FNPF-NWT simulations.

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Closure to “Breaking Criterion and Characteristics for Solitary Waves on Slopes” by S. T. Grilli, I. A. Svendsen, and R. Subramanya

Cited by 7 publications

References 1 publication

An Efficient Three-Dimensional FNPF Numerical Wave Tank for Large-Scale Wave Basin Experiment Simulation

An Efficient Three-Dimensional FNPF Numerical Wave Tank for Large-Scale Wave Basin Experiment Simulation

Numerical modeling of extreme rogue waves generated by directional energy focusing

Fully Nonlinear Potential Flow Simulations of Wave Shoaling Over Slopes: Spilling Breaker Model and Integral Wave Properties

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