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A Generalized 1-Dimensional Particle Transport Method for Convection Diffusion Reaction Model

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dc.creator James, Makungu
dc.creator Haario, Heikki
dc.creator Mahera, William C.
dc.date 2016-06-15T20:55:06Z
dc.date 2016-06-15T20:55:06Z
dc.date 2012
dc.date.accessioned 2018-03-27T08:54:28Z
dc.date.available 2018-03-27T08:54:28Z
dc.identifier Makungu, J., Haario, H. and Mahera, W.C., 2012. A generalized 1-dimensional particle transport method for convection diffusion reaction model. Afrika Matematika, 23(1), pp.21-39.
dc.identifier http://hdl.handle.net/20.500.11810/2496
dc.identifier 10.1007/s13370-011-0007-0
dc.identifier.uri http://hdl.handle.net/20.500.11810/2496
dc.description Full text can be accessed at http://link.springer.com/article/10.1007/s13370-011-0007-0
dc.description This paper is devoted to the development of numerical method to deal with convection diffusion problem with reaction term (CDR) and convection diffusion dominated problem (stiff chemical reaction). The technique is based on the unifying Eulerian–Lagrangian schemes (particle transport method) under the framework of operator splitting method. In the computational domain, the particle set is assigned to solve the convection reaction subproblem along the characteristic curves which are formed by convective velocity. At each time step, convection, diffusion and reaction terms are solved separately by assuming that each phenomenon occurs separately in a sequential fashion. Moreover, adaptivities and projection techniques are used to add particles in the regions of high gradients, discontinuities and transfer a solution from particle set onto grid point respectively. The numerical results show that the particle transport method has improved the solutions of CDR problems. Nevertheless, the method is time consuming when compared with other classical techniques e.g., method of lines.
dc.language en
dc.publisher Springer Link
dc.subject Convection
dc.subject Diffusion
dc.subject Reaction
dc.subject Projection
dc.subject Operator splitting
dc.title A Generalized 1-Dimensional Particle Transport Method for Convection Diffusion Reaction Model
dc.type Journal Article


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