Lagrange-Galerkin Approximation For Advection-Dominated Contaminant Transport With Nonlinear Equilibrium Or Non-equilibrium Adsorption

Barrett JW, Kappmeier H, Knabner P (1997)

Publication Type: Book chapter / Article in edited volumes

Publication year: 1997

Publisher: Vieweg+Teubner

Edited Volumes: Modeling and Computation in Environmental Sciences

Series: Notes on Numerical Fluid Mechanics

City/Town: Braunschweig, Wiesbaden

Book Volume: 59

Pages Range: 36-48

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_1997/1997_BarrettKappmeierKn_LagrangeGalerkinApproxWithNonlinearNonequilibAdsorption

DOI: 10.1007/978-3-322-89565-3_4

Abstract

An extension of the Lagrange-Galerkin approach is developed for advection-dominated problems with nonlinear adsorption, either being in equilibrium or in non-equilibrium, possibly with isotherms of the Freundlich type. The scheme should be feasable also for the hyperbolic limit case. The basic problems to deal with are the possibility of non-unique characteristics due to the nonlinear isotherms and the incorporation of the time-dependent non-equilibrium adsorption kinetics, avoiding a strong restriction on the CFL-number.

The one-dimensional scheme derived is able to handle shock solutions. In the non-equilibrium case a more severe restriction on the timestep has to be regarded.

Authors with CRIS profile

Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

Imperial College London / The Imperial College of Science, Technology and Medicine GB United Kingdom (GB)

How to cite

APA:

Barrett, J.W., Kappmeier, H., & Knabner, P. (1997). Lagrange-Galerkin Approximation For Advection-Dominated Contaminant Transport With Nonlinear Equilibrium Or Non-equilibrium Adsorption. In Rainer Helmig, Willi Jäger, Wolfgang Kinzelbach, Peter Knabner, Gabriel Wittum (Eds.), Modeling and Computation in Environmental Sciences. (pp. 36-48). Braunschweig, Wiesbaden: Vieweg+Teubner.

MLA:

Barrett, John W., H. Kappmeier, and Peter Knabner. "Lagrange-Galerkin Approximation For Advection-Dominated Contaminant Transport With Nonlinear Equilibrium Or Non-equilibrium Adsorption." Modeling and Computation in Environmental Sciences. Ed. Rainer Helmig, Willi Jäger, Wolfgang Kinzelbach, Peter Knabner, Gabriel Wittum, Braunschweig, Wiesbaden: Vieweg+Teubner, 1997. 36-48.

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