Finite difference methods for solving large scale advection-diffusion models
by Walbeck, Justin, M.S., TULANE UNIVERSITY SCHOOL OF SCIENCE AND ENGINEERING, 2012, 54 pages; 1512308

Abstract:

This paper explores the efficient implementation of an instance of the advection-diffusion problem related to modeling the small-scale spread of vector-borne diseases. This problem is presented as an odorant plume evolving over time in a 2D spatial domain. Details regarding several different possible discretizations are presented. The various discrete methods are compared for varying problem sizes, and the most efficient method for solving large scale simulations of this model is selected. A series of instances of this problem are approximated using the selected method to verify its accuracy and efficiency.
 
AdviserRicardo Cortez
SchoolTULANE UNIVERSITY SCHOOL OF SCIENCE AND ENGINEERING
SourceMAI/ 50-06, p. , Jul 2012
Source TypeThesis
SubjectsApplied mathematics
Publication Number1512308
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