Communications - Scientific Letters of the University of Zilina 2010, 12(11):5-10 | DOI: 10.26552/com.C.2010.3A.5-10

Numerical Simulation of Groundwater Flow and Pollution Transport Using the Dual Reciprocity and RBF Method

Karel Kovarik1
1 Department of Geotechnics, Faculty of Civil Engineering, University of Zilina, Slovakia

Transport of pollution is strongly influenced by groundwater flow. All numerical models of transport equation must be based on the groundwater flow models. The most of them suffer from numerical diffusion and/or oscillations of solution. Both phenomena lower the quality of results of these models. Plenty of authors are working on improving the quality of the numerical simulation. This paper presents the connection between a dual reciprocity method used to model groundwater flow and the meshless radial basis function methods used for a transport model. Both methods are one of the latest tools for modeling these phenomena.

Keywords: no keywords

Published: October 31, 2010  Show citation

ACS AIP APA ASA Harvard Chicago Chicago Notes IEEE ISO690 MLA NLM Turabian Vancouver
Kovarik, K. (2010). Numerical Simulation of Groundwater Flow and Pollution Transport Using the Dual Reciprocity and RBF Method. Communications - Scientific Letters of the University of Zilina12(3A), 5-10. doi: 10.26552/com.C.2010.3A.5-10
Download citation

References

  1. BEAR, J.: Dynamics of Fluids in Porous Media. American Elsevier : New York, 1972
  2. BEAR, J., VERRUIJT, A.: Modelling Groundwater Flow and Pollution, D. Reidel : Dordrecht, 1987 Go to original source...
  3. KANSA, E.J.: Multiquadrics - A Scattered Data Approximation Scheme with Application to Computational Fluid Dynamics, Comput. Math. Appl., Vol.19, 1990, pp. 127-145 Go to original source...
  4. KOVARIK, K.: Numerical Models in Groundwater Pollution, Springer: New York, 2000 Go to original source...
  5. MAHMOOD, M. S.: Solution of Strongly Nonlinear Convection-diffusion Problems by a Conservative Galerkin Characteristics Method, Numerische Mathematik, Vol. 112, 2009, pp. 601-636. Go to original source...
  6. PARTIDGE, P.W., BREBBIA, C.A., WROBEL, L.C.: The Dual Reciprocity Boundary Element Method, Elsevier : London, 1992 Go to original source...
  7. SHU, C., DING, H., YEO, K.S.: Local Radial Basis Function-based Differential Quadrature Method and its Application to Solve Two-dimensional Incompressible Navier-Stokes Equations, Comput. Meth. Appl. Mech. Eng., Vol. 192, 2003, pp. 941-954 Go to original source...
  8. TELLES, J.C.F., BREBBIA, C.A.: The Boundary Element Method in Plasticity, Brebbia CA(ed) New developments in boundary element methods, pp. 295-317 CML Publications, Southampton, 1980.

This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.