Peer-reviewed articles 17,970 +



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

BOUNDARY KNOT METHOD SOLUTION OF GROUNDWATER FLOW IN UNCONFINED AQUIFER
Juraj Muzik
10.5593/sgem2022/1.1
1314-2704
English
22
1.1
•    Prof. DSc. Oleksandr Trofymchuk, UKRAINE 
•    Prof. Dr. hab. oec. Baiba Rivza, LATVIA
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.
[1] Kovarik, K., Numerical Models in Groundwater Pollution. Springer Berlin Heidelberg., 2012.
[2] Segalini, A., Chiapponi, L., Drusa, M., & Pastarini, B., New Inclinometer Device for Monitoring of Underground Displacements and Landslide Activity. Communications - Scientific Letters of the University of Zilina, 16(4), 58–62, 2014.
[3] Vlcek, J., Bulko, R., Bartuska, L., Kmec, J., Soil Consolidation Parameters Derived from CPTu Probing. Procedia Engineering, 161, 180–184, 2016.
[4] Chen, W., Shen, L. J., Shen, Z. J., Yuan, G. W., Boundary knot method for Poisson equations. Engineering Analysis with Boundary Elements, 29(8), 756–760, 2005.
[5] Partridge, P.W., Brebbia, C.A., Wrobel, L.C., The Dual Reciprocity Boundary Element Method. Computational Mechanics Publications, 1992.
[6] Chen, W., Tanaka, M., A meshless, integration-free, and boundary-only RBF technique. Computers & Mathematics with Applications, 43(3), 379–391, 2002.
[7] Kansa, E.J., Holoborodko, P., On the ill-conditioned nature of C? RBF strong collocation. Engineering Analysis with Boundary Elements, 78, 26–30, 2017.
This contribution is the result of the project funded by the Scientific Grant Agency of Slovak Republic (VEGA) No. 1/0879/21.
conference
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

24th SGEM International Conference on Earth & Planetary Sciences


International GeoConference SGEM2024
28 June - 8 July, 2024 / Albena, Bulgaria

Read More
   

SGEM Vienna GREEN "Green Science for Green Life"


Extended Scientific Sessions SGEM Vienna GREEN
25 - 29 November, 2024 / Vienna, Austria

Read More
   

A scientific platform for Art-Inspired Scientists!


The Magical World Where Science meets Art
Vienna, Austria

Read More