A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves

Wei, Guojian; Kirby, James T.; Grilli, Stéphan T.; Subramanya, R.

doi:10.1017/s0022112095002813

Cited by 825 publications

(652 citation statements)

References 5 publications

Supporting

Mentioning

616

Contrasting

Unclassified

Order By: Relevance

“…These equations are numerically implemented using a finitedifference algorithm and an iterative, high-order predictor-corrector scheme (Wei et al, 1995;. The open-ocean boundaries accommodate radiation of wave energy through a sponge layer, whereas runup on land boundaries is accommodated using a moving-boundary algorithm .…”

Section: Hydrodynamic Modelingmentioning

confidence: 99%

“…2. In general, linear models that explicitly include slope, through a mild slope approximation for example, will tend to overestimate the shoaled wave height of a nonlinear wave, as compared to nonlinear model with similar assumptions (cf., Wei et al, 1995). In cases where slope is not explicitly included in propagation, such as the use of a shoaling coefficient with simple Airy wave theory, the linear models will underestimate shoaling amplification.…”

Section: Hydrodynamic Modelingmentioning

confidence: 99%

See 1 more Smart Citation

Hydrodynamic modeling of tsunamis from the Currituck landslide

2009

View full text Add to dashboard Cite

Keywords: tsunami landslide hydrodynamic runup numerical model sensitivity analysis Tsunami generation from the Currituck landslide offshore North Carolina and propagation of waves toward the U.S. coastline are modeled based on recent geotechnical analysis of slide movement. A long and intermediate wave modeling package (COULWAVE) based on the non-linear Boussinesq equations are used to simulate the tsunami. This model includes procedures to incorporate bottom friction, wave breaking, and overland flow during runup. Potential tsunamis generated from the Currituck landslide are analyzed using four approaches: (1) tsunami wave history is calculated from several different scenarios indicated by geotechnical stability and mobility analyses; (2) a sensitivity analysis is conducted to determine the effects of both landslide failure duration during generation and bottom friction along the continental shelf during propagation; (3) wave history is calculated over a regional area to determine the propagation of energy oblique to the slide axis; and (4) a high-resolution 1D model is developed to accurately model wave breaking and the combined influence of nonlinearity and dispersion during nearshore propagation and runup. The primary source parameter that affects tsunami severity for this case study is landslide volume, with failure duration having a secondary influence. Bottom friction during propagation across the continental shelf has a strong influence on the attenuation of the tsunami during propagation. The high-resolution 1D model also indicates that the tsunami undergoes nonlinear fission prior to wave breaking, generating independent, short-period waves. Wave breaking occurs approximately 40-50 km offshore where a tsunami bore is formed that persists during runup. These analyses illustrate the complex nature of landslide tsunamis, necessitating the use of detailed landslide stability/mobility models and higher-order hydrodynamic models to determine their hazard.Published by Elsevier B.V.

show abstract

Section: Hydrodynamic Modelingmentioning

confidence: 99%

Section: Hydrodynamic Modelingmentioning

confidence: 99%

Hydrodynamic modeling of tsunamis from the Currituck landslide

2009

View full text Add to dashboard Cite

show abstract

“…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%

“…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%

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

et al. 2015

View full text Add to dashboard Cite

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.

show abstract

“…: nonlinearity, a/h, and dispersion, (kh) 2 , are assumed to be of the same order. Although the original Boussinesq approximation accounted only for weak dispersion and nonlinearity, limiting its validity to (very) shallow water, recent advances include full nonlinearity (Wei et al 1995) and high-order dispersion effects (e.g., Madsen et al, 2003), supporting modelling of waves in deep-intermediate water and to very high-nonlinearity (see, e.g., Fuhrman et al, 2004a). Reviews of developments in Boussinesq theory are found in e.g.…”

Section: Nonlinearity In Shallow Watermentioning

confidence: 99%

Wave modelling – The state of the art

Cavaleri¹,

Alves²,

Ardhuin³

et al. 2007

Progress in Oceanography

453

177

View full text Add to dashboard Cite

This paper is the product of the wave modelling community and it tries to make a picture of the present situation in this branch of science, exploring the previous and the most recent results and looking ahead towards the solution of the problems we presently face. Both theory and applications are considered.The many faces of the subject imply separate discussions. This is reflected into the single sections, seven of them, each dealing with a specific topic, the whole providing a broad and solid overview of the present state of the art. After an introduction framing the problem and the approach we followed, we deal in sequence with the following subjects: (Section) 2, generation by wind; 3, non-linear interactions in deep water; 4, white-capping dissipation; 5, non-linear interactions in shallow water; 6, dissipation at the sea bottom; 7, wave propagation; 8, numerics. The two final sections, 9 and 10, summarize the present situation from a general point of view and try to look at the future developments. Keywords

show abstract

A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves

Cited by 825 publications

References 5 publications

Hydrodynamic modeling of tsunamis from the Currituck landslide

Hydrodynamic modeling of tsunamis from the Currituck landslide

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

Wave modelling – The state of the art

Contact Info

Product

Resources

About