A parallel algorithm for two phase multicomponent contaminant transport

Todd Arbogast; Clint N. Dawson; Mary F. Wheeler

Applications of Mathematics (1995)

  • Volume: 40, Issue: 3, page 163-174
  • ISSN: 0862-7940

Abstract

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We discuss the formulation of a simulator in three spatial dimensions for a multicomponent, two phase (air, water) system of groundwater flow and transport with biodegradation kinetics and wells with multiple screens. The simulator has been developed for parallel, distributed memory, message passing machines. The numerical procedures employed are a fully implicit expanded mixed finite element method for flow and either a characteristics-mixed method or a Godunov method for transport and reactions of dissolved chemical species in groundwater. Domain decomposition, symmetric and nonsymmetric solvers have been developed for solving the systems of equations resulting from the discretization of the model. Results from applying this simulator to a bioremediation field problem with several injection and production wells each having multiple screens are presented.

How to cite

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Arbogast, Todd, Dawson, Clint N., and Wheeler, Mary F.. "A parallel algorithm for two phase multicomponent contaminant transport." Applications of Mathematics 40.3 (1995): 163-174. <http://eudml.org/doc/32914>.

@article{Arbogast1995,
abstract = {We discuss the formulation of a simulator in three spatial dimensions for a multicomponent, two phase (air, water) system of groundwater flow and transport with biodegradation kinetics and wells with multiple screens. The simulator has been developed for parallel, distributed memory, message passing machines. The numerical procedures employed are a fully implicit expanded mixed finite element method for flow and either a characteristics-mixed method or a Godunov method for transport and reactions of dissolved chemical species in groundwater. Domain decomposition, symmetric and nonsymmetric solvers have been developed for solving the systems of equations resulting from the discretization of the model. Results from applying this simulator to a bioremediation field problem with several injection and production wells each having multiple screens are presented.},
author = {Arbogast, Todd, Dawson, Clint N., Wheeler, Mary F.},
journal = {Applications of Mathematics},
keywords = {multicomponent contaminant transport; characteristic-mixed Godunov method; domain decomposition; two phase multicomponent contaminant transport; biological decontamination; interphase mass transfer; chemical reactions; parallel computation},
language = {eng},
number = {3},
pages = {163-174},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A parallel algorithm for two phase multicomponent contaminant transport},
url = {http://eudml.org/doc/32914},
volume = {40},
year = {1995},
}

TY - JOUR
AU - Arbogast, Todd
AU - Dawson, Clint N.
AU - Wheeler, Mary F.
TI - A parallel algorithm for two phase multicomponent contaminant transport
JO - Applications of Mathematics
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 3
SP - 163
EP - 174
AB - We discuss the formulation of a simulator in three spatial dimensions for a multicomponent, two phase (air, water) system of groundwater flow and transport with biodegradation kinetics and wells with multiple screens. The simulator has been developed for parallel, distributed memory, message passing machines. The numerical procedures employed are a fully implicit expanded mixed finite element method for flow and either a characteristics-mixed method or a Godunov method for transport and reactions of dissolved chemical species in groundwater. Domain decomposition, symmetric and nonsymmetric solvers have been developed for solving the systems of equations resulting from the discretization of the model. Results from applying this simulator to a bioremediation field problem with several injection and production wells each having multiple screens are presented.
LA - eng
KW - multicomponent contaminant transport; characteristic-mixed Godunov method; domain decomposition; two phase multicomponent contaminant transport; biological decontamination; interphase mass transfer; chemical reactions; parallel computation
UR - http://eudml.org/doc/32914
ER -

References

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