Physics and Ecology in Fluids: Modeling and Numerical Experiments develops mathematical and numerical modeling methodologies for coupled biological-hydrodynamic problems with a focus on process studies. The modeling is presented in a way that discusses mathematical background but does not depend on a large body of mathematical pre-requisites or experience. Models are built up from simple, to complex. This includes discussion of approximations and shortcuts commonly made by large computational models for natural bodies of water. Computational approaches are presented using conceptual explanations and pseudo-code along with well-documented, open-source code. Over a dozen codes that run locally on the reader’s laptop provide hands on experience with various aspects of the modeling process and its scientific results. One large-scale code for basin scale modeling based on the Discontinuous Galerkin methodology is presented, along with a self-contained discussion of theoretical background and implementation details.
Physics and Ecology in Fluids is written for graduate students, academic researchers and government scientists. Professors can use the book as a stand-alone resource for a one term graduate course, or to supplement teaching of their own graduate courses. All readers may also use the book as background/user’s guide for the software included with the book.
1. Physics and Ecology in Fluids - p. iii 2. Cover - p. iii 3. Title Page - p. iii 4. Copyright Page - p. iv 5. Dedication - p. v 6. Table of Contents - p. vii 7. List of figures - p. xi 8. List of tables - p. xxi 9. List of source code files - p. xxiii 10. Preface - p. xxv 11. Acknowledgments - p. xxvii 12. Chapter 1 Introductory remarks and reader's guide - p. 1 13. Chapter 2 The basics of modeling: Mechanics and population models - p. 9 14. Chapter 3 Modeling active tracers - p. 31 15. Chapter 4 Fluid mechanics - p. 51 16. Chapter 5 Rotating shallow water dynamics: An overview - p. 65 17. Chapter 6 Rotating shallow water dynamics: Dispersion and nonlinearity - p. 91 18. Chapter 7 Understanding complex dynamics in two and three dimensions - p. 115 19. Chapter 8 Modeling motion in the vertical - p. 133 20. Chapter 9 Modeling fluid transport processes with finite volume methods - p. 165 21. Chapter 10 Modeling fluid transport processes with discontinuous Galerkin methods: Background - p. 187 22. Chapter 11 Modeling fluid transport processes with discontinuous Galerkin methods: Implementation - p. 209 23. Chapter 12 Beyond standard treatments: Flow in porous media - p. 225 24. Index - p. 243
Physics and Ecology in Fluids: Modeling and Numerical Experiments develops mathematical and numerical modeling methodologies for coupled biological-hydrodynamic problems with a focus on process studies. The modeling is presented in a way that discusses mathematical background but does not depend on a large body of mathematical pre-requisites or experience. Models are built up from simple, to complex. This includes discussion of approximations and shortcuts commonly made by large computational models for natural bodies of water. Computational approaches are presented using conceptual explanations and pseudo-code along with well-documented, open-source code. Over a dozen codes that run locally on the reader’s laptop provide hands on experience with various aspects of the modeling process and its scientific results. One large-scale code for basin scale modeling based on the Discontinuous Galerkin methodology is presented, along with a self-contained discussion of theoretical background and implementation details.
Physics and Ecology in Fluids is written for graduate students, academic researchers and government scientists. Professors can use the book as a stand-alone resource for a one term graduate course, or to supplement teaching of their own graduate courses. All readers may also use the book as background/user’s guide for the software included with the book.
1. Physics and Ecology in Fluids - p. iii 2. Cover - p. iii 3. Title Page - p. iii 4. Copyright Page - p. iv 5. Dedication - p. v 6. Table of Contents - p. vii 7. List of figures - p. xi 8. List of tables - p. xxi 9. List of source code files - p. xxiii 10. Preface - p. xxv 11. Acknowledgments - p. xxvii 12. Chapter 1 Introductory remarks and reader's guide - p. 1 13. Chapter 2 The basics of modeling: Mechanics and population models - p. 9 14. Chapter 3 Modeling active tracers - p. 31 15. Chapter 4 Fluid mechanics - p. 51 16. Chapter 5 Rotating shallow water dynamics: An overview - p. 65 17. Chapter 6 Rotating shallow water dynamics: Dispersion and nonlinearity - p. 91 18. Chapter 7 Understanding complex dynamics in two and three dimensions - p. 115 19. Chapter 8 Modeling motion in the vertical - p. 133 20. Chapter 9 Modeling fluid transport processes with finite volume methods - p. 165 21. Chapter 10 Modeling fluid transport processes with discontinuous Galerkin methods: Background - p. 187 22. Chapter 11 Modeling fluid transport processes with discontinuous Galerkin methods: Implementation - p. 209 23. Chapter 12 Beyond standard treatments: Flow in porous media - p. 225 24. Index - p. 243
