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Particle transport method for convection problems with reaction and diffusion


Shipilova, O; Haario, H; Smolianski, A (2007). Particle transport method for convection problems with reaction and diffusion. International Journal for Numerical Methods in Fluids, 54(10):1215-1238.

Abstract

The paper is devoted to the further development of the particle transport method for the convection problems with diffusion and reaction. Here, the particle transport method for a convection-reaction problem is combined with an Eulerian finite-element method for diffusion in the framework of the operator-splitting approach. The technique possesses a special spatial adaptivity to resolve solution singularities possible due to convection and reaction terms. A monotone projection technique is used to transfer the solution of the convection-reaction subproblem from a moving set of particles onto a fixed grid to initialize the diffusion subproblem. The proposed approach exhibits good mass conservation and works with structured and unstructured meshes.
The performance of the presented algorithm is tested on one- and two-dimensional benchmark problems. The numerical results confirm that the method demonstrates good accuracy for the convection-dominated as well as for convection-diffusion problems. Copyright © 2007 John Wiley & Sons, Ltd.

Abstract

The paper is devoted to the further development of the particle transport method for the convection problems with diffusion and reaction. Here, the particle transport method for a convection-reaction problem is combined with an Eulerian finite-element method for diffusion in the framework of the operator-splitting approach. The technique possesses a special spatial adaptivity to resolve solution singularities possible due to convection and reaction terms. A monotone projection technique is used to transfer the solution of the convection-reaction subproblem from a moving set of particles onto a fixed grid to initialize the diffusion subproblem. The proposed approach exhibits good mass conservation and works with structured and unstructured meshes.
The performance of the presented algorithm is tested on one- and two-dimensional benchmark problems. The numerical results confirm that the method demonstrates good accuracy for the convection-dominated as well as for convection-diffusion problems. Copyright © 2007 John Wiley & Sons, Ltd.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:convection-reaction-diffusion • particles • adaptivity • projection • mass conservation
Language:English
Date:2007
Deposited On:03 Nov 2009 09:16
Last Modified:06 Dec 2017 20:43
Publisher:Wiley-Blackwell
ISSN:0271-2091
Publisher DOI:https://doi.org/10.1002/fld.1438

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