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Leszczynski Jacek

Publications and source records attributed to Leszczynski Jacek.

3 recordsLinked to original sources

The calculation of a normal force between multiparticle contacts using fractional operators

This paper deals with the complex problem of how to simulate multiparticle contacts. The collision process is responsible for the transfer and dissipation of energy in granular media. A novel model of the interaction force between particles has been proposed and tested. Such model allows us to simulate multiparticle collisions and granular cohesion dynamics.

physics.comp-ph

The efficient generation of unstructured control volumes in 2D and 3D

Many problems in engineering, chemistry and physics require the representation of solutions in complex geometries. In the paper we deal with a problem of unstructured mesh generation for the control volume method. We propose an algorithm which bases on the spheres generation in central points of the control volumes.

cs.CG

A numerical method for solution of ordinary differential equations of fractional order

In this paper we propose an algorithm for the numerical solution of arbitrary differential equations of fractional order. The algorithm is obtained by using the following decomposition of the differential equation into a system of differential equation of integer order connected with inverse forms of Abel-integral equations. The algorithm is used for solution of the linear and non-linear equations.

math.NA