Discontinuous Galerkin methods for simulating bioreactive transport of viruses in porous media

Shuyu Sun*, Mary F. Wheeler

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

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. Numerical results suggest that DG can treat bioreactive transport of viruses over a wide range of modeling parameters, including both advection- and dispersion-dominated problems. In addition, it is shown that DG can sharply capture local phenomena of virus transport with dynamic mesh adaptation.

Original languageEnglish (US)
Pages (from-to)1696-1710
Number of pages15
JournalAdvances in Water Resources
Volume30
Issue number6-7
DOIs
StatePublished - Jun 1 2007

Keywords

  • Discontinuous Galerkin methods
  • Entropy analysis
  • Equilibrium adsorption
  • Error analysis
  • Kinetic adsorption
  • Mesh adaptation
  • Virus transport in porous media

ASJC Scopus subject areas

  • Water Science and Technology

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