MATEC Web Conf.
Volume 117, 2017RSP 2017 – XXVI R-S-P Seminar 2017 Theoretical Foundation of Civil Engineering
|Number of page(s)||7|
|Published online||24 July 2017|
Two-dimensional convection—diffusion problem solved using method of localized particular solutions
University of Zilina, Faculty of Civil Engineering - Department of geotechnics, Univerzitná 8215/1, Slovakia
* Corresponding author: firstname.lastname@example.org
A meshless local method of approximated particular solutions (LMAPS) is used to analyze problem described by the convection-diffusion equation. The method solves the steady convection-diffusion equation with reaction term. The discretized system of equations is derived via interpolation procedure using integrated multiquadrics (MQ) radial basis functions (RBF). The solution of the equation is performed over simple geometry with non-uniform velocity field and results are presented in the article. The LMAPS method is capable to produce stable solutions with results comparable to the analytical solutions.
© The Authors, published by EDP Sciences, 2017
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