The use of the mesh free methods (radial basis functions) in the modeling of radionuclide migration and moving boundery value problems
Vrankar, Leopold (Author), Runovc, Franc (Author), Turk, Goran (Author)

URLURL - Presentation file, Visit http://drugg.fgg.uni-lj.si/3371/ This link opens in a new window

Recently, the mesh free methods (radial basis functions-RBFs) have emerged as a novel computing method in the scientific and engineering computing community. The numerical solution of partial differential equations (PDEs) has been usually obtained by finite difference methods (FDM), finite element methods (FEM) and boundary elements methods (BEM). These conventional numerical methods still have some drawbacks. For example, the construction of the mesh in two or more dimensions is a nontrivial problem. Solving PDEs using radial basis function (RBF) collocations is an attractive alternative to these traditional methods because no tedious mesh generation is required. We compare the mesh free method, which uses radial basis functions, with the traditional finite difference scheme and analytical solutions. We will present some examples of using RBFs in geostatistical analysis of radionuclide migration modeling. The advection-dispersion equation will be used in the Eulerian and Lagrangian forms. Stefan's or moving boundary value problems will also be presented. The position of the moving boundary will be simulated by the moving data centers method and level set method.

Keywords:mesh free methods, radial basis functions, finite difference methods, finite elemnt methods, boundary elements methods, geostatistics, Eulerian method, Lagrangian method, level set method
Work type:Not categorized (r6)
Tipology:1.01 - Original Scientific Article
Organization:NTF - Faculty of Natural Sciences and Engineering
Publisher:Univerza v Mariboru, Fakulteta za gradbeništvo
Number of pages:str. 42-53
Numbering:Vol. 4, [No.] 1
ISSN on article:1854-0171
COBISS.SI-ID:718175 Link is opened in a new window
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Record is a part of a journal

Title:Acta geotechnica Slovenica
Shortened title:Acta geotech. Slov.
Publisher:Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo
COBISS.SI-ID:215987712 This link opens in a new window

Secondary language

Title:Uporaba brezmrežnih metod (radialnih baznih funkcij) za modeliranje migracije radionuklidov in problemov s premikajočo se mejo
Keywords:brezmrežne metode, radialne bazne funkcije, metoda končnih diferenc, metoda končnih elementov, metoda robnih elementov, geostatika, Euler, Lagrange, nivojna metoda

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