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A spectral modelling approach for fluid flow into a line sink in a confined aquifer

Part of: Flows in porous media; filtration; seepage Incompressible inviscid fluids Basic methods in fluid mechanics

Published online by Cambridge University Press:  01 November 2021

S. AL-ALI Open the ORCID record for S. AL-ALI [Opens in a new window] ,
G. C. HOCKING Open the ORCID record for G. C. HOCKING [Opens in a new window] ,
D. E. FARROW Open the ORCID record for D. E. FARROW [Opens in a new window]  and
H. ZHANG Open the ORCID record for H. ZHANG [Opens in a new window]
S. AL-ALI
Affiliation:
Mathematics and Statistics, Murdoch University, Perth, Australia emails: [email protected], [email protected] Mathematics Department, Computer Science and Mathematics College, Tikrit University, Salah al Din 34001, Iraq
G. C. HOCKING
Affiliation:
Mathematics and Statistics, Murdoch University, Perth, Australia emails: [email protected], [email protected]
D. E. FARROW
Affiliation:
School of Physics, Mathematics & Computing, University of Western Australia, Perth, Australia email: [email protected]
H. ZHANG
Affiliation:
School of Engineering and Built Environment, Griffith University, Gold Coast, Australia email: [email protected]
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Abstract

A spectral method is developed to study the steady and unsteady flow of fluid into a line sink from a horizontally confined aquifer, and the results are compared to solutions obtained implementing the finite element package COMSOLTM. The aquifer or drain is considered to be confined below so that the solutions are fundamentally unsteady. Comparison is made between the two methods in determining the drawdown of the surface.

Keywords

Porous medialine sinkfree surfaceconing

MSC classification

Primary: 76S05: Flows in porous media; filtration; seepage
Secondary: 76B07: Free-surface potential flows 76M22: Spectral methods
Type
Papers
Information
European Journal of Applied Mathematics , Volume 33 , Issue 5 , October 2022 , pp. 960 - 981
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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