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E-8 (404) M.B. Kalinowska, P.M. Rowiński, Numerical Solutions of Two-Dimensional Mass Transport Equation in Flowing Surface Waters

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M.B. Kalinowska, P.M. Rowiński, full paper, 0

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1. Introduction, 1

2. Mass transport in open channels, 7

2.1 Introduction, 7

2.2 Physical bases for modeling mass transport in open channels, 8

2.3 Two-dimensional equation of mass transport, 16

2.4 Dispersion coefficients, 18

2.5 Solving 2D transport equation, 20

3. Simplifications of 2D mass transport equation, 23

3.1 Introduction, 23

3.2 Determination of the dispersion tensor coefficients, 24

3.3 Computational tests, 29

4. Numerical methods for 2D transport equation, 45

4.1 Introduction, 45

4.2 Finite difference method, 46

4.3 Discretization of 2D transport equation, 49

4.4 Initial and boundary conditions, 65

5. Properties of considered numerical schemes, 67

5.1 Introduction, 67

5.2 Accuracy - truncation error, 68

5.3 Computation speed and stability, 89

6. Description of RivMix Model, 97

6.1 Introduction, 97

6.2 Simulation parameters, 97

6.3 Algorithm, 99

7. Model verification, 105

7.1 Introduction, 105

7.2 Wide rectangular channel, 105

7.3 Laboratory compound channel, 117

8. Concluding remarks, 129

Appendix A. 2D transport equation, 133

Appendix B. Difference operators used in the book, 135

Appendix C. Dispersion tensor simplifications, 137

C.1 Instantaneous release of solute, 137

C.2 Continuous inflow of solute, 148

Appendix D. Boundary conditions, 159

Appendix E. Modified equation, 171

List of symbols, 175

List of acronyms, 179

List of figures, 181

List of tables, 186

References, 189

Index, 198


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