Modeling the propagation of nonlinear free surface waves is a challenging task but inevitable in studying nearshore wave propagation processes. More recently, meshless methods are emerging as potential tools for studying water wave related problems, in particular when there is a flow separation. In this study, smoothed particle hydrodynamics (SPH) has been shown to be useful to study the propagation of nonlinear water waves generated in a numerical flume. The problems considered address various aspects associated with long time simulation and highly nonlinear waves such as bore formation and wave breaking. An explicit dynamic free surface boundary condition has been imposed in the SPH model for steady long time simulation. A correction has been prescribed for the mass of the ghost particles at the geometric singular zones for the present application. The developed model is validated with FEM based simulation and other meshless methods. The split-up of a single solitary wave as it crosses continental shelf is simulated by the present method. © 2012 Elsevier Ltd.

Sannasi Annamalaisamy Sannasiraj

Department of Ocean Engineering

S.De Chowdhury

BORES

CONTINENTAL SHELVES

Developed model

EXPLICIT DYNAMICS

FEM BASED SIMULATION

FREE-SURFACE WAVE

MESH-LESS METHODS

NEAR-SHORE WAVES

NONLINEAR WATER WAVES

Nonlinear waves

Potential tool

PROPAGATION PROCESS

SHALLOW WATER WAVE PROPAGATION

Smoothed particle hydrodynamics

SPH METHODS

SPH SIMULATION

TIME SIMULATIONS

WAVEBREAKING

Computer simulation

SOLITONS

Surface waves

Transients

Water waves

Hydrodynamics

geometry

NONLINEAR WAVE

shallow water

Solitary wave

WATER WAVE

Wave modeling

Wave propagation

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

Ocean Engineering

The hydrodynamic performance of three prevalent curved front seawalls along with a vertical seawall has been investigated in the Ursell number ranging from 8 to 16. Experiments have been conducted to measure dynamic pressure on these seawalls under the action of regular monochromatic waves. Two different numerical models have been used to analyse the measured data: An in house Smoothed Particle Hydrodynamics (SPH) particle based model and the commercial Computational Fluid Dynamics (CFD) package ANSYS- FLUENT®. The numerical simulation of peak dynamic pressures on the seawall front surface differs with the laboratory measurements by less than 10% while, the maximum velocity magnitude reveals differences of the order of 20–30% between SPH and FLUENT during overtopping of the wave. The comparison between these models shows that the performance of improved SPH models is similar to that of FLUENT, as long as the flow is laminar. The SPH solution contains several important nonlinear aspects also revealed in the experiments. The comparison of measured and simulated pressures along the curved front proves the capability of the SPH models in predicting the nature of run-up and overtopping, if occurs. © 2017 Elsevier Ltd

Nonlinear wave interaction with curved front seawalls

A numerical model based on the Smoothed Particle Hydrodynamics (SPH) method is developed which can appropriately simulate two-dimensional (2D) sloshing waves starting from smooth harmonic to violent breaking waves in a partially filled rectangular water container. This is achieved by employing a single set of numerical tools for solving the fluid flow problem under given boundary conditions. Recently, δ-SPH model has been proven to be superior to standard SPH for solving fluid flow problems covering a broad range of Reynolds (Re) numbers including violent fluid motion involving free surface fragmentation. Present work extends this further by applying δ-SPH to non-violent sloshing waves with specific focus in capturing higher order harmonics as generally predicted by an analytical or potential flow based model. An in depth analysis has been carried out to identify major factors affecting the present δ-SPH model from predicting higher order harmonics. The role of XSPH factor as used in SPH in smoothening of velocity has further been revisited to investigate its' effect on pressure, particularly in violent sloshing flows. Inter-comparison has been performed with few other SPH versions (namely, fully incompressible SPH (ISPH) and f-SPH, apart from standard weakly compressible SPH (WCSPH)) for selected cases. The model prediction for different physical quantities of sloshing has been found to be in good agreement with results from other experimental, numerical and analytical based studies. Based on the present study, suitable scales for the tuning factors have been proposed for the development of robust SPH models which is expected to simulate sloshing waves defined by relatively broader d/. L (ratio of initial water depth to tank length) ranges. © 2014 Elsevier Ltd.

Applied Ocean Research

Numerical simulation of 2D sloshing waves using SPH with diffusive terms

In this article, tsunamis represented as solitary waves was simulated using the fully nonlinear free surface waves based on Finite Element method developed by Sriram et al. (2006). The split up of solitary wave while it propagates over the uneven bottom topography is successfully established. Wave transmission and reflection over a vertical step introduced in the bottom topography is in good agreement with the experimental results from Seabra-Santos et al. (1987). The wave transformation over a continental shelf with different smooth slopes reveals that the solitary wave reflection increases while the continental slope varies from flat to steep. The interaction of the solitary wave with a vertical wall for different wave steepness has been analysed. The reflected shape of the profile is in good agreement with the observation made by Fenton and Rienecker (1982) and an increase in wave celerity is observed.

Marine Geodesy

NWF: Propagation of Tsunami and its Interaction with Continental Shelf and Vertical Wall

Coastal Engineering

SPH modeling of solitary wave fissions over uneven bottoms

Computer Methods in Applied Mechanics and Engineering

δ-SPH model for simulating violent impact flows

Journal of Computational Physics

Fast free-surface detection and level-set function definition in SPH solvers

Advances in Coastal and Ocean Engineering Advances in Numerical Simulation of Nonlinear Water Waves

MODELLING NONLINEAR WATER WAVES WITH RANS AND LES SPH MODELS

SPH Simulation of shallow water wave propagation