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.
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Table of Contents
1. Introduction2. Governing Equations
3. Simple Dynamics of Idealized Basins
4. Modeling Active Tracers
5. 'Complete' Biophysical Models
6. Mid-Order Discontinuous Galerkin Methods for the Shallow Water Model in Arbitrary Geometries
7. An introduction to pyblitzdg code
8. Simulation design in pyblitzdg
