Communications - Scientific Letters of the University of Zilina 2016, 18(4):77-82 | DOI: 10.26552/com.C.2016.4.77-82

Local Method of Approximate Particular Solutions for Two-Dimensional Unsteady Incompressible Flow

Juraj Muzik1, Ladislav Kais1, Roman Bulko1
1 Department of Geotechnics, Faculty of Civil Engineering, University of Zilina, Slovakia

A meshless local method of approximated particular solutions (LMAPS) is used to analyze incompressible fluid flow in a two dimensionalcavity. The method solves the incompressible Navier-Stokes equations in terms of theprimitive variables using the fractional step scheme. The basic equations are derived via interpolation using integrated multiquadrics radial basis functions. Lid-driven cavity benchmark case for various Reynolds numbers is presented in the article. The procedure produces stable solutions with results comparable to those in literature.

Keywords: meshless; localized method of approximated particular solutions; incompressible flows; Navier-Stokes equations

Published: November 30, 2016  Show citation

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Muzik, J., Kais, L., & Bulko, R. (2016). Local Method of Approximate Particular Solutions for Two-Dimensional Unsteady Incompressible Flow. Communications - Scientific Letters of the University of Zilina, 18(4), 77-82. doi: 10.26552/com.C.2016.4.77-82
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