Monday, June 16

3:15 PM-5:15 PM
Turcoise Room

Adaptive Finite Volume/Multigrid Simulation of Variable Density Flows in Porous Media

In subsurface flow and transport near salt domes, the density of the liquid phase depends on the solute concentration, i.e., one has to deal with strongly coupled flow and transport. Despite a lot of activity since the 1980s to develop appropriate software for variable density flows, it became clear only recently that the strong nonlinearity and weak stability of the problem (fingering) require high resolution to prevent qualitatively wrong answers. With 3D simulations of realistic field situations in mind, various features seem to be necessary for a feasible code: grid adaption on the basis of a posteriori error estimators, multilevel resolution of the discrete nonlinear or linear set of equations, and the efficient use of parallel computers. In Germany, a project has been set up consisting of five research groups to accomplish such code. The speakers will disucss the work of three of the groups.

Organizer: Peter Knabner
University of Erlangen, Germany

3:15 The Modeling of Variable Density Flows in Heterogeneous Porous Media
Carsten Schwarz, Sascha Oswald, and Wolfgang Kinzelbach, Eidgenossische Technische Hochschule Zurich, Switzerland
3:45 Finite Volume Discretization of Variable Density Flows
Peter Frolkovic, University of Erlangen, Germany
4:15 Error Estimation and Grid Adaption for Variable Density Flows
Lutz Angermann, University of Erlangen, Germany
4:45 Parallel Multigrid in the Simulation of Variable Density Flows
Gabriel Wittum, University of Stuttgart, Germany

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TJF, 4/30/97
MMD, 5/5/97