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