Modeling and Computation in Environmental Sciences

This volume contains 20 contributions to the 1st GAMM-Seminar at ICA Stuttgart, which was held in Stuttgart, October 12 - 13, 1995. In the field of environmental sciences, numerical procedures for the simulation of ecological problems are growing increasingly topical. The solution of typical problems in environmental research is closely connected with numerical supercomputing. The main subject of the seminar was the modeling and numerical simulation of ground water and soil water. Further topics were multi-scale modeling, special discretization schemes, adaptivity, multi-grid methods, heterogenity, parameter identification, homogenization, density driven groundwater flow, and coupling of transport and chemistry.

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The Application of Mixed Methods to Subsurface Simulation.- Numerical Simulations by Homogenization of Two-Phase Flow Through Randomly Heterogeneous Porous Media.- A Dynamic Adaptive Method for the Computation of Highly Advective or Highly Dispersive Transport Processes in Fractured Rock.- Lagrange-Galerkin Approximation for Advection-Dominated Contaminant Transport with Nonlinear Equilibrium or Non-Equilibrium Adsorption.- A Parallel Adaptive Finite-Element Semi-Lagrangian Advection Scheme for the Shallow Water Equations.- Practical Aspects of the Simulation of Viscous Flow Using Lattice Boltzmann Automata.- Flow Channeling in Unsaturated Porous Media of Strong Heterogeneity.- Block SSOR Preconditioners for 3-D Groundwater Flow Problems.- A Discretisation for Transport Problems with Dominant Convection Using Characteristics and Finite Elements.- Comparison of Approaches for the Coupling of Chemistry to Transport in Groundwater Systems.- Theoretical and Numerical Aspects of Elasto-Plastic Porous Media Models.- Numerical Simulation of the Multiphase Flow of Contaminants in Porous Media.- Direct and Inverse Modeling of Multiphase Flow Systems.- A Three-Dimensional Numerical Model for the Calculation of Complex Flow and Transport Phenomenas in Reservoirs.- On Numerical Solution Methods for Nonlinear Parabolic Problems.- Fast Solvers for Non-Linear FEM-BEM Equations.- A Multigrid-Homogenization Method.- A Parallel 2D Operator Splitting Method for the Navier-Stokes and Transport Equations.- Dual-Porosity Modelling of Contaminant Transport in Fractured Porous Formations: The Effect of Spatial Varations of Matrix Block Properties.- An Aligned 3D-Finite-Volume Method for Convection-Diffusion Problems.