Record Details

<p class="Articletitle"><strong>Mathematical Modeling of Regular and Irregular Shallow Water Waves Using Boussinesq Equation with Improved Dispersion</strong></p>

Online Publishing @ NISCAIR

View Archive Info
 
 
Field Value
 
Authentication Code dc
 
Title Statement <p class="Articletitle"><strong>Mathematical Modeling of Regular and Irregular Shallow Water Waves Using Boussinesq Equation with Improved Dispersion</strong></p>
 
Added Entry - Uncontrolled Name Kumar, Prashant ; Department of Applied Sciences, National Institute of Technology Delhi, Delhi-110040, India
V, Vinita
R, Rupali
 
Uncontrolled Index Term Boussinesq Equations, Shallow Water Waves, Finite Difference Method, Crank Nicolson Discretization
 
Summary, etc. <p class="Abstract">A mathematical model has been formulated to analyze the behaviour of small amplitude linear and nonlinear shallowwater waves in the coastal region. The coupled Boussinesq equations (BEs) are obtained from the Euler's equation in terms of velocities variable as the velocity measured from arbitrary distance from mean water level. BEs improves the dispersion characteristics and is applicable to variable water depth compared to conventional BEs, which is in terms of the depth-averaged velocity. The solution of the time-dependent BEs with kinematic and dynamic boundary conditions is obtained by utilizing Crank- Nicolson procedure of finite difference method (FDM). Further, the Von Neumann stability analysis for the Crank Nicolson scheme is also conducted for linearized BEs. The numerical simulation of regular and irregular waves propagating over the variable water depth is validated with the previous studies and experimental results. The present numerical model can be utilized to determine the wave characteristics in the nearshore region, including diffraction, refraction, shoaling, reflection, and nonlinear wave interactions. Therefore, the current model provides a competent tool for simulating the water waves in harbour or coastal regions for practical application.</p>
 
Publication, Distribution, Etc. Indian Journal of Pure & Applied Physics (IJPAP)
2022-10-21 11:23:26
 
Electronic Location and Access application/pdf
http://op.niscair.res.in/index.php/IJPAP/article/view/67758
 
Data Source Entry Indian Journal of Pure & Applied Physics (IJPAP); ##issue.vol## 59, ##issue.no## 3 (2021): Indian Journal of Pure & Applied Physics
 
Language Note en
 
Terms Governing Use and Reproduction Note Except where otherwise noted, the Articles on this site are licensed under Creative Commons License: CC Attribution-Noncommercial-No Derivative Works 2.5 India © 2015. The Council of Scientific &amp; Industrial Research, New Delhi.