Numerical Methods for Parallel Simulation of Diffusive Pollutant Transport from a Point Source

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dc.contributor.authorSienkiewicz, Noah
dc.contributor.authorPandya, Arjun
dc.contributor.authorBrown, Tim
dc.contributor.authorBarajas, Carlos
dc.contributor.authorGobbert, Matthias K.
dc.date.accessioned2018-09-13T19:45:44Z
dc.date.available2018-09-13T19:45:44Z
dc.description.abstractIn an interdisciplinary project combining Atmospheric Physics, High Performance Computing, and Big Data, we explore a numerical method for solving a physical system modeled by a partial differential equation. The application problem models the spread of pollution by a reaction-diffusion equation solved by the finite volume method. The numerical method is derived and tested on a known test problem in Matlab and then parallelized by MPI in C. We explore both closed and open systems of pollution, and show that the finite volume method is both mass conservative and has the ability to handle a point source modeled by the Dirac delta distribution. A parallel performance study confirms the scalability of the implementation to several compute nodes.en_US
dc.description.sponsorshipThis work is supported by the grant CyberTraining: DSE: Cross-Training of Researchers in Computing, Applied Mathematics and Atmospheric Sciences using Advanced Cyberinfrastructure Resources from the National Science Foundation (grant no. OAC–1730250). This work is supported by the grant CyberTraining: DSE: Cross-Training of Researchers in Computing, Applied Mathematics and Atmospheric Sciences using Advanced Cyberinfrastructure Resources from the National Science Foundation (grant no. OAC–1730250). Co-author Noah Sienkiewicz additionally acknowledges a GAANN Fellowship from the Department of Education (P200A150003). The hardware in the UMBC High Performance Computing Facility (HPCF) is supported by the U.S. National Science Foundation through the MRI program (grant nos. CNS–0821258, CNS–1228778, and OAC–1726023) and the SCREMS program (grant no. DMS–0821311), with additional substantial support from the University of Maryland, Baltimore County (UMBC). See hpcf.umbc.edu for more information on HPCF and the projects using its resources. Co-author Carlos Barajas was supported as HPCF RA. Co-author Noah Sienkiewicz additionally acknowledges a GAANN Fellowship from the Department of Education (P200A150003). The hardware in the UMBC High Performance Computing Facility (HPCF) is supported by the U.S. National Science Foundation through the MRI program (grant nos. CNS–0821258, CNS–1228778, and OAC–1726023) and the SCREMS program (grant no. DMS–0821311), with additional substantial support from the University of Maryland, Baltimore County (UMBC). See hpcf.umbc.edu for more information on HPCF and the projects using its resources. Co-author Carlos Barajas was supported as HPCF RA.en_US
dc.description.urihttps://userpages.umbc.edu/~gobbert/papers/CT2018Team1.pdfen_US
dc.format.extent22 pagesen_US
dc.genreTechnical Reporten_US
dc.identifierdoi:10.13016/M2M90266R
dc.identifier.urihttp://hdl.handle.net/11603/11295
dc.language.isoen_USen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.relation.ispartofUMBC Student Collection
dc.relation.ispartofUMBC Information Systems Department
dc.relation.ispartofUMBC Physics Department
dc.relation.ispartofseriesHPCF Technical Report HPCF-2018-11.
dc.rightsThis item may be protected under Title 17 of the U.S. Copyright Law. It is made available by UMBC for non-commercial research and education. For permission to publish or reproduce, please contact the author.
dc.subjectAtmospheric Physicsen_US
dc.subjectpartial differential equationen_US
dc.subjectreaction-diffusion equationen_US
dc.subjectDirac delta distributionen_US
dc.subjectBig Dataen_US
dc.subjectUMBC High Performance Computing Facility (HPCF)en_US
dc.subjectModeling the spread of pollution
dc.subjectReaction-diffusion equation
dc.subjectFinite volume method
dc.subjectclosed systems of pollution
dc.subjectOpen systems of pollution
dc.subjectParallel performance study
dc.titleNumerical Methods for Parallel Simulation of Diffusive Pollutant Transport from a Point Sourceen_US
dc.typeTexten_US

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