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Particle transport method for convection problems with reaction and diffusion
- Source :
- International Journal for Numerical Methods in Fluids. 54:1215-1238
- Publication Year :
- 2007
- Publisher :
- Wiley, 2007.
-
Abstract
- SUMMARY 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 q 2007 John Wiley & Sons, Ltd.
- Subjects :
- Convection
2206 Computational Mechanics
2210 Mechanical Engineering
Computational Mechanics
reaction
symbols.namesake
510 Mathematics
2211 Mechanics of Materials
2604 Applied Mathematics
Reaction–diffusion system
1706 Computer Science Applications
Projection method
Applied mathematics
Diffusion (business)
Conservation of mass
convection
Mathematics
Applied Mathematics
Mechanical Engineering
Eulerian path
Finite element method
Computer Science Applications
10123 Institute of Mathematics
Classical mechanics
Mechanics of Materials
symbols
diffusion • particles • adaptivity • projection • mass conservation
Convection–diffusion equation
Subjects
Details
- ISSN :
- 10970363 and 02712091
- Volume :
- 54
- Database :
- OpenAIRE
- Journal :
- International Journal for Numerical Methods in Fluids
- Accession number :
- edsair.doi.dedup.....72793f3be702aaf1b8444c6358d6ca75