Calculating transport of water from a conduit to the porous matrix by boundary distributed source method

DOI10.1016/J.ENGANABOUND.2012.06.001zbMath1351.76284OpenAlexW2073787889MaRDI QIDQ2520244

Franci Gabrovšek, Matija Perne, Božidar Šarler

Publication date: 13 December 2016

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2012.06.001

zbMATH Keywords

Stefan problemmethod of fundamental solutionsDarcy flowboundary distributed source methodkarst aquifermoving and free boundary problems

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Boundary element methods applied to problems in fluid mechanics (76M15) Computational methods for problems pertaining to geophysics (86-08)

Related Items (16)

A meshless improved boundary distributed source method for two-phase flow monitoring using electrical resistance tomography ⋮ Improved non-singular method of fundamental solutions for two-dimensional isotropic elasticity problems with elastic/rigid inclusions or voids ⋮ A non-singular method of fundamental solutions for two-dimensional steady-state isotropic thermoelasticity problems ⋮ On solving free surface problems in layered soil using the method of fundamental solutions ⋮ Method of regularized sources for axisymmetric Stokes flow problems ⋮ An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability ⋮ Method of Fundamental Solutions Without Fictitious Boundary for Anisotropic Elasticity Problems Based on Mechanical Equilibrium Desingularization ⋮ Non-singular method of fundamental solutions for anisotropic elasticity ⋮ The singular boundary method: mathematical background and application in orthotropic elastic problems ⋮ An improved boundary distributed source method for electrical resistance tomography forward problem ⋮ An improved boundary distributed source method for two-dimensional Laplace equations ⋮ Numerical investigation on the obliquely incident water wave passing through the submerged breakwater by singular boundary method ⋮ Numerical investigation on convergence rate of singular boundary method ⋮ Non-singular method of fundamental solutions for elasticity problems in three-dimensions ⋮ A multi-level technique for the method of fundamental solutions without regularization and desingularization ⋮ Method of fundamental solutions without fictitious boundary for three dimensional elasticity problems based on force-balance desingularization

Uses Software

• Matlab
• Mfree2D

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solution of potential flow problems by the modified method of fundamental solutions: formulations with the single layer and the double layer fundamental solutions
• A new boundary meshfree method with distributed sources
• The method of fundamental solutions for free surface Stefan problems
• Dual reciprocity boundary element method solution of natural convection in Darcy--Brinkman porous media
• The boundary element method applied to moving boundary problems
• A new numerical algorithm for 2D moving boundary problems using a boundary element method
• The method of fundamental solutions for elliptic boundary value problems
• A method of fundamental solutions for modeling porous media advective fluid flow.
• Towards a mesh-free computation of transport phenomena
• Solution of a two-dimensional bubble shape in potential flow by the method of fundamental solutions
• Regularized meshless method for multiply-connected-domain Laplace problems
• Novel meshless method for solving the potential problems with arbitrary domain
• A survey of applications of the MFS to inverse problems
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• From Global to Local Radial Basis Function Collocation Method for Transport Phenomena
• Study of free-surface seepage problems using hypersingular equations
• Flow through porous media: A procedure for locating the free surface
• Convection in Porous Media
• The method of functional equations for the approximate solution of certain boundary value problems
• Numerical treatment of a singularity in a free boundary problem
• Mathematical programming approach for unconfined seepage flow problem

This page was built for publication: Calculating transport of water from a conduit to the porous matrix by boundary distributed source method