dc.contributor.author | Munusamy, Selva Balaji | |
dc.date.accessioned | 2024-04-25T07:08:13Z | |
dc.date.available | 2024-04-25T07:08:13Z | |
dc.date.issued | 2016-05 | |
dc.identifier.uri | https://arxiv.org/abs/1605.08145 | |
dc.identifier.uri | http://dspace.bits-pilani.ac.in:8080/jspui/xmlui/handle/123456789/14675 | |
dc.description.abstract | This paper presents a secular term removal methodology based on the homotopy perturbation method for analytical solutions of nonlinear problems with periodic boundary condition. The analytical solution for groundwater response to tidal fluctuation in a coastal unconfined aquifer system with the vertical beach is provided as an example. The non-linear one-dimensional Boussinesq's equation is considered as the governing equation for the groundwater flow. An analytical solution is provided for non-dimensional Boussinesq's equation with cosine harmonic boundary condition representing tidal boundary condition. The analytical solution is obtained by using homotopy perturbation method with a virtual embedding parameter. The present approach does not require pre-specified perturbation parameter and also facilitates secular terms elimination in the perturbation solution. The solutions starting from zeroth-order up to third-order are obtained. The non-dimensional expression, A/D∞ emerges as an implicit parameter from the homotopy perturbation solution. The non-dimensional solution is valid for all ranges of A/D values. Higher order solution reveals the characteristics of the tidal groundwater table fluctuations. | en_US |
dc.language.iso | en | en_US |
dc.publisher | ARXIV | en_US |
dc.subject | Civil Engineering | en_US |
dc.subject | Tidal Influence | en_US |
dc.subject | Fluid Dynamics | en_US |
dc.title | Can We Remove Secular Terms for Analytical Solution of Groundwater Response under Tidal Influence? | en_US |
dc.type | Article | en_US |
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