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Fourier series solution for an anisotropic and layered configuration of the dispersive Henry Problem
, Article 25th Salt Water Intrusion Meeting, SWIM 2018, 17 June 2018 through 22 June 2018 ; Volume 54 , 2018 ; 22671242 (ISSN) ; Fahs, M ; Belfort, B ; Ataie Ashtiani, B ; Simmons, C. T ; Sharif University of Technology
EDP Sciences
2018
Abstract
Henry Problem (HP) still plays an important role in benchmarking numerical models of seawater intrusion (SWI) as well as being applied to practical and managerial purposes. The popularity of this problem is due to having a closed-form semi-analytical (SA) solution. The early SA solutions obtained for HP were limited to extensive assumptions that restrict its application in practical works. Several further studies expended the generality of the solution by assuming lower diffusion coefficients or including velocity-dependent dispersion in the results. However, all these studies are limited to homogeneous and isotropic domains. The present work made an attempt to improve the reality of the SA...
The henry problem: New semianalytical solution for velocity-dependent dispersion
, Article Water Resources Research ; Volume 52, Issue 9 , 2016 , Pages 7382-7407 ; 00431397 (ISSN) ; Ataie Ashtiani, B ; Younes, A ; Simmons, C. T ; Ackerer, P ; Sharif University of Technology
Blackwell Publishing Ltd
2016
Abstract
A new semianalytical solution is developed for the velocity-dependent dispersion Henry problem using the Fourier-Galerkin method (FG). The integral arising from the velocity-dependent dispersion term is evaluated numerically using an accurate technique based on an adaptive scheme. Numerical integration and nonlinear dependence of the dispersion on the velocity render the semianalytical solution impractical. To alleviate this issue and to obtain the solution at affordable computational cost, a robust implementation for solving the nonlinear system arising from the FG method is developed. It allows for reducing the number of attempts of the iterative procedure and the computational cost by...
Modeling, simulation, and optimal initiation planning for needle insertion into the liver
, Article Journal of Biomechanical Engineering ; Volume 132, Issue 4 , 2010 ; 01480731 (ISSN) ; Ahmadian, M. T ; Janabi Sharifi, F ; Sharif University of Technology
2010
Abstract
Needle insertion simulation and planning systems (SPSs) will play an important role in diminishing inappropriate insertions into soft tissues and resultant complications. Difficulties in SPS development are due in large part to the computational requirements of the extensive calculations in finite element (FE) models of tissue. For clinical feasibility, the computational speed of SPSs must be improved. At the same time, a realistic model of tissue properties that reflects large and velocity-dependent deformations must be employed. The purpose of this study is to address the aforementioned difficulties by presenting a cost-effective SPS platform for needle insertions into the liver. The study...