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

Shuyu Sun; Mary F. Wheeler

doi:10.1016/j.advwatres.2006.05.033

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 journal › Article › peer-review

30 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 language	English (US)
Pages (from-to)	1696-1710
Number of pages	15
Journal	Advances in Water Resources
Volume	30
Issue number	6-7
DOIs	https://doi.org/10.1016/j.advwatres.2006.05.033
State	Published - Jun 2007
Externally published	Yes

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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10.1016/j.advwatres.2006.05.033

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title = "Discontinuous Galerkin methods for simulating bioreactive transport of viruses in porous media",

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.",

keywords = "Discontinuous Galerkin methods, Entropy analysis, Equilibrium adsorption, Error analysis, Kinetic adsorption, Mesh adaptation, Virus transport in porous media",

author = "Shuyu Sun and Wheeler, {Mary F.}",

year = "2007",

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doi = "10.1016/j.advwatres.2006.05.033",

language = "English (US)",

volume = "30",

pages = "1696--1710",

journal = "Advances in Water Resources",

issn = "0309-1708",

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TY - JOUR

T1 - Discontinuous Galerkin methods for simulating bioreactive transport of viruses in porous media

AU - Sun, Shuyu

AU - Wheeler, Mary F.

PY - 2007/6

Y1 - 2007/6

N2 - 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.

AB - 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.

KW - Discontinuous Galerkin methods

KW - Entropy analysis

KW - Equilibrium adsorption

KW - Error analysis

KW - Kinetic adsorption

KW - Mesh adaptation

KW - Virus transport in porous media

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U2 - 10.1016/j.advwatres.2006.05.033

DO - 10.1016/j.advwatres.2006.05.033

M3 - Article

AN - SCOPUS:34247114141

SN - 0309-1708

VL - 30

SP - 1696

EP - 1710

JO - Advances in Water Resources

JF - Advances in Water Resources

IS - 6-7

ER -

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

Abstract

Keywords

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