GROUNDWATER CONTAMINATION: DISCRETIZATION AND SIMULATION OF SYSTEMS FOR CONVECTION-DIFFUSION-DISPERSION REACTIONS -- GROUNDWATER CONTAMINATION: DISCRETIZATION AND SIMULATION OF SYSTEMS FOR CONVECTION-DIFFUSION-DISPERSION REACTIONS -- Contents -- Preface -- Introduction -- Modeling -- 2.1. Introduction and Motivation -- 2.2. Physics of the Mathematical Model -- 2.3. Mathematical Model -- Discretization -- 3.1. Introduction -- 3.2. Finite Volume Method -- 3.3. Notations for Finite Volume Method -- 3.4. Discretization of the Convection Equation -- 3.5. Discretization of the Diffusion-Dispersion Equation -- 3.6. Discretization of the Reaction Equation -- 3.7. Discretization of the Convection-Reaction Equation with Embedded Analytical Solutions -- Operator-Splitting Methods -- 4.1. Splitting Method of First Order -- 4.2. Strang Splitting and Methods of Higher Order -- 4.3. Iterative Operator-Splitting Method -- 4.4. Application of the Splitting Methods -- 4.5. LOD and ADI Methods -- 4.6. Nonlinear Splitting Methods -- 4.7. Remarks about the Operator-Splitting Methods -- Analytical Solutions for One-Dimensional Convection-Reaction Equations -- 5.1. Analytical Solutions for Convection-Reaction Equations with Variable Retardation Factors -- 5.2. Calculating the Analytical Solution of Mass -- Iterative Methods and Multigrid Methods -- 6.1. Introduction -- 6.2. Linear Algebra -- 6.3. Linear Iterative Method -- 6.4. Introduction to Multigrid Methods -- Software Package r3t -- 7.1. Introduction -- 7.2. Rough Structuring of the Software Packages -- 7.3. UG Software Toolbox -- 7.4. Software Package d3f -- 7.5. Software Package r3t -- Model Problems -- 8.1. Introduction for Model Problems -- 8.2. Error Norms and Orders of Convergence to Evaluate Nu-merical Results -- 8.3. One-Dimensional Model Problems for Linear Equilibrium-Sorption.

8.4. Two-Dimensional Model Problem for Linear Equilibrium-Sorption -- 8.5. Realistic Model for a Potential Damage Event -- Outlook -- 9.1. Conclusion and Outlook -- Appendix A Properties, Transformable Functions, and Partial Fraction Expansion of the Laplace Transformation -- Appendix B General Solutions for Ordinary Differential Equations -- References -- Index.