A multistep fundamental solution scheme for modeling groundwater flow

 

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Yazarlar: Guevara-Jordan, Juan M., Da Silva-Rodrigues, Carmen M.
Materyal Türü: artículo original
Durum:Versión publicada
Yayın Tarihi:2009
Diğer Bilgiler:A new numerical scheme for solving transient pressure in a confined aquifer is presented. It is based on the fundamental solution method (FSM) and it combines free Green functions, superposition principle, and singular value decomposition (SVD) method to obtain an efficient computational algorithm to approximate unsteady pressure in general two dimensional groundwater problems. Its mathematical formulation avoids integral equations, is meshfree, and its new multistep approach provides very accurate approximation of full transient aquifer pressure along any period of time. The new scheme was validated with synthetic aquifers problems with constant and variable well rates. Its applications to arbitrary shaped aquifer with multiple wells is developed and analyzed. Numerical results gave evidence that the new scheme is a versatile tool and an alternative choice to boundary element methods to solve groundwater problems.
Ülke:Portal de Revistas UCR
Kurum:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Dil:Español
OAI Identifier:oai:archivo.portal.ucr.ac.cr:article/1423
Online Erişim:https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/1423
Anahtar Kelime:multistep
meshless
fundamental solution method
free Green function
singular value decomposition
multipaso
libre de malla
método de soluciones fundamentales
función de Green libre
descomposición en valores singulares