4.6 Article

Modelling unsaturated flow in porous media using an improved iterative scheme

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Computer Science, Interdisciplinary Applications

An improved matrix split-iteration method for analyzing underground water flow

S. R. Zhu et al.

Summary: This article proposes an inexact Hermitian and skew-Hermitian splitting iteration method with multistep preconditioner for analyzing underground water flow. The results show that this method can effectively solve unsaturated flow and transient drainage problems, with higher numerical accuracy, faster convergence rate, and higher computational efficiency compared to classical methods.

ENGINEERING WITH COMPUTERS (2023)

Article Computer Science, Interdisciplinary Applications

Application of an improved P(m)-SOR iteration method for flow in partially saturated soils

S. R. Zhu et al.

Summary: This paper investigates the potential of using the P(m)-SOR method to solve variably saturated flow problems described by the linearized Richards' equation, showing a faster convergence rate and lower computation cost compared to traditional methods.

COMPUTATIONAL GEOSCIENCES (2022)

Article Computer Science, Interdisciplinary Applications

Iterative schemes for surfactant transport in porous media

Davide Illiano et al.

Summary: This work considers the transport of a surfactant in variably saturated porous media with water flow modelled by the Richards equations and fully coupled with the transport equation for the surfactant. Three linearization techniques are discussed, leading to monolithic and splitting schemes proposed and analyzed for convergence. The performance of these schemes is illustrated on five numerical examples, presenting the number of iterations and condition numbers of the linear systems in each iteration.

COMPUTATIONAL GEOSCIENCES (2021)

Article Computer Science, Interdisciplinary Applications

Hydro-mechanical coupling in unsaturated soils covering a non-deformable structure

L. Z. Wu et al.

COMPUTERS AND GEOTECHNICS (2020)

Article Engineering, Multidisciplinary

Application of the Chebyshev spectral method to the simulation of groundwater flow and rainfall-induced landslides

L. Z. Wu et al.

APPLIED MATHEMATICAL MODELLING (2020)

Article Water Resources

An advanced discrete fracture model for variably saturated flow in fractured porous media

Behshad Koohbor et al.

ADVANCES IN WATER RESOURCES (2020)

Article Automation & Control Systems

A novel method for locating the critical slip surface of a soil slope

S. H. Li et al.

ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE (2020)

Article Mathematics, Applied

Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media

Jakub Wiktor Both et al.

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2019)

Review Environmental Sciences

Review of numerical solution of Richardson-Richards equation for variably saturated flow in soils

Yuanyuan Zha et al.

WILEY INTERDISCIPLINARY REVIEWS-WATER (2019)

Article Computer Science, Interdisciplinary Applications

Efficient method for probabilistic estimation of spatially varied hydraulic properties in a soil slope based on field responses: A Bayesian approach

Hao-Qing Yang et al.

COMPUTERS AND GEOTECHNICS (2018)

Article Computer Science, Interdisciplinary Applications

Numerical solution of Richards' equation of water flow by generalized finite differences

C. Chavez-Negrete et al.

COMPUTERS AND GEOTECHNICS (2018)

Article Green & Sustainable Science & Technology

Developing an Accessible Landslide Susceptibility Model Using Open-Source Resources

Kyungjin An et al.

SUSTAINABILITY (2018)

Article Mathematics, Applied

Generalized product-type methods based on bi-conjugate gradient (GPBiCG) for solving shifted linear systems

Mehdi Dehghan et al.

COMPUTATIONAL & APPLIED MATHEMATICS (2017)

Article Mathematics, Applied

Generalized product-type methods based on bi-conjugate gradient (GPBiCG) for solving shifted linear systems

Mehdi Dehghan et al.

COMPUTATIONAL & APPLIED MATHEMATICS (2017)

Article Environmental Sciences

Transient modeling of regional rainfall-triggered shallow landslides

Cheng-Yu Ku et al.

ENVIRONMENTAL EARTH SCIENCES (2017)

Review Soil Science

Numerical Solution of Richards' Equation: A Review of Advances and Challenges

Matthew W. Farthing et al.

SOIL SCIENCE SOCIETY OF AMERICA JOURNAL (2017)

Article Computer Science, Interdisciplinary Applications

A study on iterative methods for solving Richards' equation

Florian List et al.

COMPUTATIONAL GEOSCIENCES (2016)

Article Environmental Sciences

Numerical analysis of 1D coupled infiltration and deformation in layered unsaturated porous medium

L. Z. Wu et al.

ENVIRONMENTAL EARTH SCIENCES (2016)

Article Engineering, Multidisciplinary

Numerical Solutions for Groundwater Flow in Unsaturated Layered Soil with Extreme Physical Property Contrasts

Chih-Yu Liu et al.

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION (2015)

Article Engineering, Multidisciplinary

An efficient finite element procedure for analyzing three-phase porous media based on the relaxed Picard method

Wentao Li et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2015)

Article Mathematics, Applied

Chebyshev acceleration of iterative refinement

M. Arioli et al.

NUMERICAL ALGORITHMS (2014)

Article Water Resources

An accelerated Picard method for nonlinear systems related to variably saturated flow

P. A. Lott et al.

ADVANCES IN WATER RESOURCES (2012)

Article Engineering, Multidisciplinary

A novel numerical method of high-order accuracy for flow in unsaturated porous media

C. E. Zambra et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2012)

Article Environmental Sciences

Non-isothermal flow in low permeable porous media: a comparison of Richards' and two-phase flow approaches

Wenqing Wang et al.

ENVIRONMENTAL EARTH SCIENCES (2011)

Article Mathematics, Applied

ANDERSON ACCELERATION FOR FIXED-POINT ITERATIONS

Homer F. Walker et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2011)

Article Computer Science, Interdisciplinary Applications

An easy and efficient combination of the Mixed Finite Element Method and the Method of Lines for the resolution of Richards' Equation

Marwan Fahs et al.

ENVIRONMENTAL MODELLING & SOFTWARE (2009)

Article Geosciences, Multidisciplinary

Adaptive underrelaxation of picard iterations in ground water models

Timothy Durbin et al.

GROUND WATER (2007)

Article Mathematics, Applied

MSP: A class of parallel multistep successive sparse approximate inverse preconditioning strategies

K Wang et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2003)

Review Computer Science, Interdisciplinary Applications

Preconditioning techniques for large linear systems: A survey

M Benzi

JOURNAL OF COMPUTATIONAL PHYSICS (2002)