A new numerical reduction scheme for fully coupled multicomponent transport-reaction problems in porous media

Kräutle S, Knabner P (2005)


Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2005

Journal

Publisher: American Geophysical Union (AGU)

Book Volume: 41

Pages Range: 1-17

Article Number: W09414

Journal Issue: 9

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2005/2005_KraeutleKn_ANewNumericalReductionSchemeForFullyCoupledMultiCompTransReactionProbInPM

DOI: 10.1029/2004WR003624

Abstract

[1] A new systematic approach for the efficient computation of the transport and reaction of a multispecies multireaction system is developed. The objective of this approach is to reduce the number of coupled nonlinear differential equations drastically, while splitting errors are avoided. The reduction mechanism is able to handle both kinetic reactions and heterogeneous equilibrium reactions and mobile and immobile species. It leads to a formulation of the nonlinear system with a Jacobian that has very few nonzero entries. Applications of the reduction mechanism to reaction networks, including a biodegradation problem which is modeled by the Monod approach, are given. Two numerical examples demonstrate the speed up of the presented reduction mechanism. Copyright 2005 by the American Geophysical Union.

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How to cite

APA:

Kräutle, S., & Knabner, P. (2005). A new numerical reduction scheme for fully coupled multicomponent transport-reaction problems in porous media. Water Resources Research, 41(9), 1-17. https://doi.org/10.1029/2004WR003624

MLA:

Kräutle, Serge, and Peter Knabner. "A new numerical reduction scheme for fully coupled multicomponent transport-reaction problems in porous media." Water Resources Research 41.9 (2005): 1-17.

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