Particle transport method for linear problem of convective transport

Authors

  • Smolyansky A. University of Zurich, Zurich, Switzerland
  • Shipilova O. Rostov State University, Rostov-on-Don, Russian Federation
  • Haario H. Lappeenranta University of Technology, Lappeenranta, Finland
  • Korotkaya Z. Rostov State University, Rostov-on-Don, Russian Federation

UDC

519.6

Abstract

The paper is devoted to a novel explicit technique, the Particle Transport Method (PTM), used to solve linear convection problems. While being a Lagrangian (characteristic based) method, PTM has the advantage of Eulerian methods to represent the solution on a fixed mesh. The proposed approach belongs to the class of monotone high-resolution numerical schemes, possesses the property of unconditional stability and can be equally applied with success on structured and unstructured meshes. It is also demonstrated that the method has the linear computational complexity.
The performance of the presented algorithm is tested using three classical problems. The first two problems are the wave-packet and step-function transport, the third problem is the rigid-body rotation of a slotted cylinder.

Acknowledgement

Работа выполнена при финансовой поддержке Национального Ведомства Технических и Прикладных Наук Финляндии (Tekes, National Technology Agency of Finland).

Author Infos

Anton Smolyansky

PhD, старший ассистент Математического института Цюрихского университета

Olga Shipilova

аспирант кафедры прикладной математики Ростовского государственного университета

Heikki Haario

профессор Технологического университета Лаппеенранты

Zhanna Korotkaya

аспирант кафедры прикладной математики Ростовского государственного университета

References

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Issue

2004. No. 4

Section

Mechanics

Pages

18-23

Submitted

2004-09-05

Published

2004-12-27

How to Cite

Smolyansky A., Shipilova O., Haario H., Korotkaya Z. Particle transport method for linear problem of convective transport. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2004, no. 4, pp. 18-23. (In Russian)

Copyright (c) 2004 Smolyansky A., Shipilova O., Haario H., Korotkaya Z.

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This work is licensed under a Creative Commons Attribution 4.0 International License.