| Title: | The use of the mesh free methods (radial basis functions) in the modeling of radionuclide migration and moving boundery value problems |
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| Authors: | ID Vrankar, Leopold (Author)
ID Runovc, Franc (Author)
ID Turk, Goran (Author)
ID Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo Univerze v Mariboru (Copyright holder) |
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| Files: |  Acta_geotechnica_Slovenica_2007_Vrankar,_Runovc,_Turk_The_use_of_the_mesh_free_methods_(radial_basis_functions)_in_the_modeling_of_radio.pdf (214,16 KB)
MD5: 083AFF9673FD911EB2F5F526CEFAC4D6
PID: 20.500.12556/dkum/ac568e59-2960-4035-89ed-e43b21efa746
 http://fgserver3.fg.um.si/journal-ags/2007-1/article-4.asp
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
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| Abstract: | 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. |
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| Keywords: | mesh free methods, radial basis functions, finite difference methods, finite elemnt methods, boundary elements methods, geostatistics, Eulerian method, Lagrangian method, level set method |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2007 |
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| Number of pages: | str. 42-53 |
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| Numbering: | Letn. 4, št. 1 |
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| PID: | 20.500.12556/DKUM-70521  |
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| ISSN: | 1854-0171 |
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| UDC: | 624.154 |
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| ISSN on article: | 1854-0171 |
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| COBISS.SI-ID: | 718175 |
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| NUK URN: | URN:SI:UM:DK:6IIBDPVN |
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| Copyright: | Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo Univerze v Mariboru |
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| Publication date in DKUM: | 18.05.2018 |
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| Views: | 1197 |
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| Downloads: | 94 |
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| Metadata: |    |
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| Categories: | Misc.
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