A high-order adaptive time-stepping TVD solver for Boussinesq modeling of breaking waves and coastal inundation

Shi, Fengyan; Kirby, James T.; Harris, Jeffrey C.; Geiman, Joseph D.; Grilli, Stéphan T.

doi:10.1016/j.ocemod.2011.12.004

Cited by 469 publications

(419 citation statements)

References 39 publications

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“…The NDS simulation also needs to employ an implicit scheme to stably calculate the dispersion while the NLL employs an explicit scheme. If you consider a practical application for tsunami early warning, developing a more efficient method to solve the NDS equations on supercomputers is necessary [e.g., Lynett et al, 2002;Saito and Furumura, 2009;Kirby et al, 2012;Shi et al, 2012;Oishi et al, 2013]. For this purpose, it is a good compromise to use the DSP equations for source estimation and propagation across the ocean, and to use the NLL equations for tsunami and inundation predictions near the coast.…”

Section: Discussion On Tsunami Waveform Modelingmentioning

confidence: 99%

“…It is desirable to estimate the tsunami source that provides all the details of the tsunami waveforms and runup. To reproduce all the data sets perfectly, it is also important to use more fine scale topography data (e.g., Baba et al, 2014], to adjust optimal friction parameter and to examine the difference among friction models [e.g., Lynett et al, 2002;Shi et al, 2012].…”

Section: Discussion On Tsunami Waveform Modelingmentioning

confidence: 99%

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Dispersion and nonlinear effects in the 2011 Tohoku‐Oki earthquake tsunami

et al. 2014

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This study reveals the roles of the wave dispersion and nonlinear effects for the 2011 TohokuOki earthquake tsunami. We conducted tsunami simulations based on the nonlinear dispersive equations with a high-resolution source model. The simulations successfully reproduced the waveforms recorded in the offshore, deep sea, and focal areas. The calculated inundation area coincided well with the actual inundation for the Sendai Plain, which was the widest inundation area during this event. By conducting sets of simulations with different tsunami equations, we obtained the followings insights into the wave dispersion, nonlinear effects, and energy dissipation for this event. Although the wave dispersion was neglected in most studies, the maximum amplitude was significantly overestimated in the deep sea if the dispersion was not included. The waveform observed at the station with the largest tsunami height ($2 m) among the deep-ocean stations also verified the necessity of the dispersion. It is well known that the nonlinear effects play an important role for the propagation of a tsunami into bays and harbors. Additionally, nonlinear effects need to be considered to accurately model later waves, even for offshore stations. In particular, including nonlinear terms rather than the inundation was more important when precisely modeling the waves reflected from the coast.

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Section: Discussion On Tsunami Waveform Modelingmentioning

confidence: 99%

Section: Discussion On Tsunami Waveform Modelingmentioning

confidence: 99%

Dispersion and nonlinear effects in the 2011 Tohoku‐Oki earthquake tsunami

et al. 2014

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“…If vertical variations must be taken into account, these can be separated from the horizontal ones, resulting in a set of shallow water equations for a series of horizontal fluid layers (i.e., multilayer NSW). Recently, non-hydrostatic models, such as Boussinesq models (e.g., [27,30,31]), have increasingly been used in research and damage assessment following major tsunami events.…”

Section: Wave Propagation In Shallow Watersmentioning

confidence: 99%

“…In both cases, the LBM solution is compared to available analytical, numerical or experimental reference data from the literature. In addition, the accuracy and performance of ELBE is compared to FUNWAVE, a state-of-the-art Boussinesq model used for tsunami propagation [31].…”

Section: Validation With Catalina Benchmark Problemsmentioning

confidence: 99%

“…For a proper performance rating, the performance is compared to the results of the FUNWAVE code. FUNWAVE solves the fully-nonlinear Boussinesq equations with finite volume and finite difference methods [30,31]. The flux terms and first-order derivatives are discretized with a fourth-order scheme, while for the higher order derivatives, central difference schemes are used.…”

Section: Performance Considerationsmentioning

confidence: 99%

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Validation of the GPU-Accelerated CFD Solver ELBE for Free Surface Flow Problems in Civil and Environmental Engineering

et al. 2015

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This contribution is dedicated to demonstrating the high potential and manifold applications of state-of-the-art computational fluid dynamics (CFD) tools for free-surface flows in civil and environmental engineering.All simulations were performed with the academic research code ELBE (efficient lattice boltzmann environment, http://www.tuhh.de/elbe). The ELBE code follows the supercomputing-on-the-desktop paradigm and is especially designed for local supercomputing, without tedious accesses to supercomputers. ELBE uses graphics processing units (GPU) to accelerate the computations and can be used in a single GPU-equipped workstation of, e.g., a design engineer. The code has been successfully validated in very different fields, mostly related to naval architecture and mechanical engineering. In this contribution, we give an overview of past and present applications with practical relevance for civil engineers. The presented applications are grouped into three major categories: (i) tsunami simulations, considering wave propagation, wave runup, inundation and debris flows; (ii) dam break simulations; and (iii) numerical wave tanks for the calculation of hydrodynamic loads on fixed and moving bodies. This broad range of applications in combination with accurate numerical results and very competitive times to solution demonstrates that modern CFD tools in general, and the ELBE code in particular, can be a helpful design tool for civil and environmental engineers.

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A semianalytical model for sheet flow layer thickness with application to the swash zone

Lanckriet

Puleo

2015

JGR Oceans

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A new semianalytical model for the time-dependent thickness of the sheet flow layer that includes the effects of pressure gradients, bed slope, boundary layer growth, and bore turbulence is presented. The shear stress and boundary layer growth are computed using the boundary layer integral method. The model is expressed as two coupled ordinary differential equations that are solved numerically given a prescribed time series of free-stream velocity, horizontal pressure gradient and bore turbulence, which together represent the hydrodynamic forcing. The model was validated against two data sets of sheet flow layer thickness collected in oscillatory flow tunnels and one data set collected in the swash zone of a prototype-scale laboratory experiment. In the oscillatory flow tunnel data sets, sheet flow is mostly generated by shear stress, with pressure gradients providing an important secondary forcing around flow reversal. In the swash zone, pressure gradients and shear stresses alone are not sufficient to generate the large sheet flow layer thickness observed at the initial stages of uprush. Bore turbulence is most likely the dominant generation mechanism for this intense sheet flow.

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A high-order adaptive time-stepping TVD solver for Boussinesq modeling of breaking waves and coastal inundation

Cited by 469 publications

References 39 publications

Dispersion and nonlinear effects in the 2011 Tohoku‐Oki earthquake tsunami

Dispersion and nonlinear effects in the 2011 Tohoku‐Oki earthquake tsunami

Validation of the GPU-Accelerated CFD Solver ELBE for Free Surface Flow Problems in Civil and Environmental Engineering

A semianalytical model for sheet flow layer thickness with application to the swash zone

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