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V. Prabhakar

Bio: V. Prabhakar is an academic researcher from VIT University. The author has contributed to research in topics: Nyström method & Nonlinear system. The author has an hindex of 2, co-authored 9 publications receiving 23 citations. Previous affiliations of V. Prabhakar include Indian Institute of Technology Madras & Anna University.

Papers
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Journal ArticleDOI
TL;DR: In this paper, the Fourier series approximation method was used to calculate the pressure variations exerted on a vertical wall in a constant water depth, and the numerical results have been compared with experimental results from literature.

11 citations

Journal ArticleDOI
V. Prabhakar1, G. Uma1
TL;DR: In this paper, a polar method based on parametric cubic spline technique (PM-CS) is presented for obtaining wave resonating quadruplets { K 1, K 2, K 3, K 4 } in the calculation of the nonlinear source term of the wave model, with results for both deep and finite depths.

5 citations

Journal ArticleDOI
15 Jun 2018
TL;DR: In this paper, a numerical method using hybrid functions which are the orthogonal polynomials, formed from the combination of Block pulse function and Lagrange basis polynomial (HBL), is employed for the estimation of nonlinear energy transfers (NLT) occurring between set of four waves at finite water depths.
Abstract: A numerical method using Hybrid functions which are the orthogonal polynomials, formed from the combination of Block pulse function and Lagrange basis polynomial (HBL) are employed for the estimation of nonlinear energy transfers (NLT) occurring between set of four waves at finite water depths. The advantages and properties of HBL functions provide an easy way for estimating the quadruplets arising in NLT. The manuscript focuses on two aspects, namely sensitivity and efficiency of NLT at finite depths due to HBL. The sensitivity of NLT at finite depths to number of points on the locus curve, for various directional spectra, are studied in detail. With decreasing water depth (i) the locus curve grows and thus magnitude of NLT increases (ii) increase the number of points on the locus curve to achieve reliable (or) accurate results and (iii) the peak frequency starts shifting towards the left side of the spectrum. The efficiency of the HBL method to NLT is substantiated by comparison with the currently used Trapezoidal rule. Convergence results of NLT are established in both frequency and direction. The method is tested for its suitability in both circular and sector grids and the results confirm its adaptability to NLT. The method is validated against the methods implemented in the Wave models such as WRT and Discrete Interaction Approximation.

3 citations

Journal ArticleDOI
TL;DR: In this article, a polar method for obtaining wave resonating quadruplets in the computation of nonlinear wave-wave interaction source term of the wave model is presented with results for both deep and finite water depths.

2 citations

Journal ArticleDOI
08 Jan 2016
TL;DR: In this article, a wavelet-based attempt is made to estimate the nonlinear interactions for wind wave spectra using Haar wavelets, which can provide an easy way of computing the transfer integral in the Webb-Resio-Tracy (WRT) method.
Abstract: A wavelet-based attempt is made to estimate the nonlinear interactions for wind wave spectra using Haar wavelets. The nonlinear interactions have been synthesized using the orthogonal basis of the Haar wavelets. The analysis of the nonlinear interactions using wavelets provides an easy way of computing the transfer integral in the Webb–Resio–Tracy’s (WRT) method. The one-dimensional and two-dimensional results confirm the applicability of the wavelets to the nonlinear wave–wave interactions and the approach of multi-resolution analysis ensures the convergence and the accuracy.

2 citations


Cited by
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Journal ArticleDOI
TL;DR: In this article, the authors investigated the characteristics of wave loading on submerged circular-front breakwaters due to irregular waves and found that wave-induced vortices at the structure had a substantial influence on the wave loading.

25 citations

Journal ArticleDOI
TL;DR: In this paper, a solution of shallow water wave force, using small amplitude linear wave theory on two-dimensional vertically submerged circular thin plates under three different configurations: (1) a surface-piercing circular thin plate, (2) a submerged circular-thin plate, and (3) a bottom-standing circular-flat plate.

16 citations

Journal ArticleDOI
TL;DR: In this article, the second-order free surface displacement and velocity potential when a high crest occurs at some fixed point on, or close to, the vertical wall is obtained, and the solution is exact for any water depth, and it is given as a function of the frequency spectrum of the incident waves.
Abstract: Nonlinear random wave groups interacting with a vertical wall are investigated. The analytical solution for the second-order free surface displacement and velocity potential when a high crest occurs at some fixed point on, or close to, the vertical wall is obtained. The solution is exact for any water depth, and it is given as a function of the frequency spectrum of the incident waves. It is obtained that the effects of nonlinearity strongly modify the linear structure of wave groups both in the space and the time domain. The maximum effect of nonlinearity occurs when the high wave hits the wall. Furthermore, it is shown that in finite water depth, the nonlinearity increases as the bottom depth decreases. Finally, a validation by means of Monte Carlo simulations of nonlinear random waves in reflection is given.

15 citations

Journal ArticleDOI
TL;DR: In this paper, the wave pressure intensity at the still water level exerted on a vertical type of breakwater with irregular waves is investigated, and a comparison is made between the first, second-order theories, Goda's formula and the experimental data.

10 citations

Journal ArticleDOI
TL;DR: In this article, a parametric study was made on the interaction between nonlinear focused wave groups and a vertical wall by considering the effects of angles of incidence, wave steepness, focal positions, water depth, frequency bandwidth and the peak lifting factor.

8 citations