Efficient Computation for a Reaction-Diffusion System with a Fast Reaction in Two Spatial Dimensions Using COMSOL Multiphysics
| dc.contributor.author | Churchill, Aaron | |
| dc.contributor.author | Gobbert, Matthias K. | |
| dc.contributor.author | Seidman, Thomas I. | |
| dc.date.accessioned | 2018-10-23T16:33:34Z | |
| dc.date.available | 2018-10-23T16:33:34Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | We study a reaction-diffusion system of three chemical species, where two chemicals react with a much faster rate than the other reaction in the model. We are interested in the asymptotic limit as the rate becomes in finite. This forces the reaction interface to have an asymptotically small width with asymptotically large height. Numerical simulations for the three species model with large reaction rate become progressively more challenging and costly as the singularity becomes sharper. But in the asymptotic limit, an equivalent two component model can be defined that is significantly cheaper computationally and allows for effective studies for the model. The equivalence is demonstrated by the analytical definition of the two component model and by comparing numerical results to ones for the three species model with progressively larger reaction rates, which also demonstrate the computational efficiency. | en_US |
| dc.description.sponsorship | The hardware used in the computational studies is part of the UMBC High Performance Computing Facility (HPCF). The facility is supported by the U.S. National Science Foundation through the MRI program (grant no. CNS{0821258) and the SCREMS program (grant no. DMS{0821311), with additional substantial support from the University of Maryland, Baltimore County (UMBC). See www.umbc.edu/hpcf for more information on HPCF and the projects using its resources. | en_US |
| dc.description.uri | https://userpages.umbc.edu/~gobbert/papers/Interface2DTR2009.pdf | en_US |
| dc.format.extent | 23 pages | en_US |
| dc.genre | Technical Report | en_US |
| dc.identifier | doi:10.13016/M28W3861Q | |
| dc.identifier.uri | http://hdl.handle.net/11603/11660 | |
| dc.language.iso | en_US | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mathematics Department Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.relation.ispartofseries | HPCF Technical Report;HPCF-2009-7 | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | |
| dc.subject | Reaction-Diffusion System | en_US |
| dc.subject | Two Spatial Dimensions | en_US |
| dc.subject | COMSOL | en_US |
| dc.subject | UMBC High Performance Computing Facility (HPCF) | en_US |
| dc.title | Efficient Computation for a Reaction-Diffusion System with a Fast Reaction in Two Spatial Dimensions Using COMSOL Multiphysics | en_US |
| dc.type | Text | en_US |