Estimating parameters for reactive contaminant transport models can be a very computationally intensive. Typically this involves solving a forward problem many times, with many degrees of freedom that must be computed each time. We show that reduced order modeling (ROM) by proper orthogonal decomposition (POD) can be used to approximate the solution to the forward model using many fewer degrees of freedom. We provide background on the finite element method and reduced order modeling in one spatial dimension, and apply both methods to a system of linear uncoupled time-dependent equations simulating reactive transport in a column. By comparing the reduced order and finite element approximations, we demonstrate that the reduced model, while having many fewer degrees of freedom to compute, gives a good approximation of the high-dimensional (finite element) model. Our results indicate that one may substitute a reduced model in place of a high-dimensional model to solve the forward problem in parameter estimation with many fewer degrees of freedom. / A Thesis submitted to the Department of Scientiļ¬c Computing in partial fulfillment of the requirements for the degree of Master of Science. / Fall Semester, 2011. / November 4, 2011. / column experiment, computational hydrology, parameter estimation, proper orthogonal decomposition, reactive transport, reduced order modeling / Includes bibliographical references. / Janet Peterson, Professor Directing Thesis; Ming Ye, Professor Co-Directing Thesis; Sachin Shanbhag, Committee Member.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_183007 |
| Contributors | McLaughlin, Benjamin R. S. (authoraut), Peterson, Janet (professor directing thesis), Ye, Ming (professor co-directing thesis), Shanbhag, Sachin (committee member), Department of Scientific Computing (degree granting department), Florida State University (degree granting institution) |
| Publisher | Florida State University, Florida State University |
| Source Sets | Florida State University |
| Language | English, English |
| Detected Language | English |
| Type | Text, text |
| Format | 1 online resource, computer, application/pdf |
| Rights | This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them. |
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