On the Navier–Stokes equations simulation of the head-on collision between two surface solitary waves

In this article, the interaction of solitary waves and a submerged slotted barrier is investigated in which the slotted barrier consists of three impermeable elements and its porosity can be determined by the distance between the two neighboring elements. A new experiment is conducted to measure free surface elevation, velocity, and turbulent kinetic energy. Numerical simulation is performed using a two-dimensional model based on the Reynolds-Averaged Navier-Stokes equations and the non-linear k-ɛ turbulence model. A detailed flow pattern is illustrated by a flow visualization technique. A laboratory observation indicates that flow separations occur at each element of the slotted barrier and the vortex shedding process is then triggered due to the complicated interaction of those induced vortices that further create a complex flow pattern. During the vortex shedding process, seeding particles that are initially accumulated near the seafloor are suspended by an upward jet formed by vortices interacting. Model-data comparisons are carried out to examine the accuracy of the model. Overall model-data comparisons are in satisfactory agreement, but modeled results sometimes fail to predict the positions of the induced vortices. Since the measured data is unique in terms of velocity and turbulence, the dataset can be used for further improvement of numerical modeling.

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NUMERICAL SIMULATIONS OF BREAKING SOLITARY WAVES

Coastal Engineering Proceedings ◽

10.9753/icce.v33.waves.59 ◽

2012 ◽

Vol 1 (33) ◽

pp. 59 ◽

Cited By ~ 1

Author(s):

Pierre Lubin ◽

Stéphane Glockner

Keyword(s):

Experimental Data ◽

Solitary Waves ◽

Stokes Equations ◽

Three Dimensional ◽

Point Of View ◽

Numerical Code ◽

Scale Model ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Surface Description

This paper presents the application of a parallel numerical code to breaking solitary waves impacting a seawall structure. The three-dimensional Navier-Stokes equations are solved in air and water, coupled with a subgrid-scale model to take turbulence into account. We compared three numerical methods for the free-surface description, using the classical VOF-PLIC and VOF-TVD methods, and an original VOF-SM method recently developed in our numerical tool (Vincent et al., 2010). Some experimental data for solitary waves impinging and overtopping coastal structures are available in literature (Hsiao et al., 2010). Solitary waves are often used to model tsunami behaviors because of their hydrodynamic similarities. From a numerical point of view, it allows shorter CPU time simulations, as only one wave breaks. Here we apply the model to simulate three-dimensional solitary waves and compare qualitatively our results with the experimental data. We investigate three configurations of solitary waves impinging and overtopping an impermeable seawall on a 1:20 sloping beach.

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Numerical Simulation of Solitary Waves Using Velocity–Vorticity Formulation of Navier–Stokes Equations

Journal of Engineering Mechanics ◽

10.1061/(asce)0733-9399(2006)132:2(211) ◽

2006 ◽

Vol 132 (2) ◽

pp. 211-219 ◽

Cited By ~ 5

Author(s):

D. C. Lo ◽

D. L. Young

Keyword(s):

Numerical Simulation ◽

Solitary Waves ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Numerical Simulation of Wind Effects on Breaking Solitary Waves by Navier-Stokes Equations

Volume 6: Materials Technology; C.C. Mei Symposium on Wave Mechanics and Hydrodynamics; Offshore Measurement and Data Interpretation ◽

10.1115/omae2009-79054 ◽

2009 ◽

Author(s):

Zhihua Xie ◽

Xianyun Wen ◽

Andrew N. Ross

Keyword(s):

Solitary Waves ◽

Wave Breaking ◽

Flow Model ◽

Stokes Equations ◽

Navier Stokes ◽

Wind Effects ◽

Two Phase ◽

Navier Stokes Equations ◽

Proposed Model ◽

The Waves

A two-phase flow model is addressed in this study to investigate effects of wind on breaking solitary waves, by solving the Reynolds-averaged Navier-Stokes (RANS) equations simultaneously for the flows both in the air and water, in which the free surface is calculated by the Volume-of-Fluid (VOF) method. First, the proposed model is validated with the experiment by Synolakis [1] of a breaking solitary wave without wind on a 1 : 19.85 impermeable beach. Then the wind effects are taken into account for modelling breaking solitary waves and it is found that the wind alters the air flow structure above the water wave; affects the wave breaking and runup process; increases the velocity in the water and causes the waves to break earlier, which agrees with previous laboratory experiment by Douglass [2].

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Remarks on the asymptotic behaviour of solutions to the compressible Navier–Stokes equations in the half-line

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s030821050200032x ◽

2002 ◽

Vol 132 (03) ◽

pp. 627

Keyword(s):

Asymptotic Behaviour ◽

Stokes Equations ◽

Half Line ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Asymptotic Behaviour Of Solutions

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Effects of stator splitter blades on aerodynamic performance of a single-stage transonic axial compressor

JOURNAL OF MECHANICAL ENGINEERING AND SCIENCES ◽

10.15282/jmes.14.4.2020.05.0579 ◽

2020 ◽

Vol 14 (4) ◽

pp. 7369-7378

Author(s):

Ky-Quang Pham ◽

Xuan-Truong Le ◽

Cong-Truong Dinh

Keyword(s):

Stokes Equations ◽

Three Dimensional ◽

Axial Compressor ◽

Aerodynamic Performance ◽

Numerical Results ◽

Single Stage ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Operating Stability ◽

Length Coverage

Splitter blades located between stator blades in a single-stage axial compressor were proposed and investigated in this work to find their effects on aerodynamic performance and operating stability. Aerodynamic performance of the compressor was evaluated using three-dimensional Reynolds-averaged Navier-Stokes equations using the k-e turbulence model with a scalable wall function. The numerical results for the typical performance parameters without stator splitter blades were validated in comparison with experimental data. The numerical results of a parametric study using four geometric parameters (chord length, coverage angle, height and position) of the stator splitter blades showed that the operational stability of the single-stage axial compressor enhances remarkably using the stator splitter blades. The splitters were effective in suppressing flow separation in the stator domain of the compressor at near-stall condition which affects considerably the aerodynamic performance of the compressor.

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