Discontinuous Galerkin Methods for Simulating Bioreactive Transport of Viruses in Porous Media

Please enable javascript in your browser.

Aminoroaya Yamini, Eman | 2014

741 Viewed

Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 46600 (02)
University: Sharif University of Technology
Department: Mathematical Sciences
Advisor(s): Razvan, Mohammad Reza
Abstract:
Primal discontinuous Galerkin (DG) methods are formulated to solve the transport equations for modeling migration and survival of viruses with kinetic and equilibrium adsorption in porous media. An entropy analysis is conducted to show that DG schemes are numerically stable and that the free energy of a DG approximation decreases with time in a manner similar to the exact solution. Combining results for free and attached virus concentrations, we establish optimal a priori error estimates for the coupled partial and ordinary differential equations of virus transport
Keywords:
Discontinuous Galerkin ; Virus Transport in Porous Media ; Entropy Analysis ; A Priori Error Analysis

No TOC