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Title: BOUNDARY KNOT METHOD SOLUTION OF GROUNDWATER FLOW IN UNCONFINED AQUIFER
BOUNDARY KNOT METHOD SOLUTION OF GROUNDWATER FLOW IN UNCONFINED AQUIFER

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Juraj Muzik
10.5593/sgem2022/1.1/s02.012
10.5593/sgem2022/1.1
1314-2704
978-619-7603-38-5
English
22
1.1
•    Prof. DSc. Oleksandr Trofymchuk, UKRAINE 
•    Prof. Dr. hab. oec. Baiba Rivza, LATVIA
Hydrogeology, Engineering Geology and Geotechnics
The groundwater flow problems are often solved using numerical models. The numerical models based of known fundamental solution, known as Trefftz methods, represents one of the efficient approaches used to solve potential flow phenomena described by the Laplace differential equation. The Trefftz-like methods, such as the boundary element method (BEM), represent a very efficient approach to solving groundwater flow problems. However, the implementation of BEM is cumbersome because of the fundamental solution singularity, and also there is a very limited number of software suites using BEM. The localized boundary knot method (LBKM) eliminates the drawback of boundary meshing and evaluation of singularity of fundamental solution as in BEM. The LBKM uses the known general solution to avoid the singularity evaluation, and the dual reciprocity approach to evaluate the true solution residual. This paper proposes a numerical model that implements the localized boundary knot method (LBKM) for 2D groundwater-free surface flow simulation.
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This contribution is the result of the project funded by the Scientific Grant Agency of Slovak Republic (VEGA) No. 1/0879/21.
conference
https://doi.org/10.5593/sgem2022/1.1/s02.012
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Proceedings of 22nd International Multidisciplinary Scientific GeoConference SGEM 2022
22nd International Multidisciplinary Scientific GeoConference SGEM 2022, 04 - 10 July, 2022
Proceedings Paper
STEF92 Technology
International Multidisciplinary Scientific GeoConference SGEM
SWS Scholarly Society; Acad Sci Czech Republ; Latvian Acad Sci; Polish Acad Sci; Serbian Acad Sci and Arts; Natl Acad Sci Ukraine; Natl Acad Sci Armenia; Sci Council Japan; European Acad Sci, Arts and Letters; Acad Fine Arts Zagreb Croatia; Croatian Acad Sci and Arts; Acad Sci Moldova; Montenegrin Acad Sci and Arts; Georgian Acad Sci; Acad Fine Arts and Design Bratislava; Turkish Acad Sci.
101-106
04 - 10 July, 2022
website
8399
Trefftz method, numerical simulation, boundary knot method, free-surface potential flow, groundwater flow