Modeling and Simulation of Everyday Things H 232 p. 18
Roth, Michael W. 著
目次
I. GETTING YOUR FEET ON THE GROUND 1. Building Your Basic Toolbox1.1 Introduction: Could a Computer Simulation ever be useful? Why do Them? 1.2 How much should a simulation be trusted? 1.3 Who first used them and why they came about1.4 What’s the state of the art? What limits have been pushed?1.5 The Simulation’s New Clothes1.6 Computer modeling is a very interdisciplinary field.1.7 What types of models are most important for everyday things?1.8 When do you build your own tools and when are black boxes the best? 2. Getting to Know the Neighborhood2.1 Overview2.2 The UNIX Operating System 2.3 The Vi Editor 2.4 A working introduction to C++: basic coding2.5 How do I choose a good algorithm?2.6 Compiling, linking and executing simple programs2.7 Examples of what can be done wrong: compile errors, execution errors and bugs2.8 Doing it Without a Supercomputer: computing on Macs and PC’s.2.9 Mapping your C++ knowledge to other computing languages 2.10 Critically thinking about your work: Relevance, applicability and limits 2.11 Your work in the broader context of the scientific and technological community 3. Visualizing Your Work and Representing Your Best Story3.1 Introductory Thoughts3.2 Visualizing two-dimensional data sets 3.3 Visualizing three-dimensional data sets3.4 Making pictures and movies3.5 A sample visualization program3.6 Four- and higher – dimensional visualization: yes, it really works!3.7 Cross-sensory visualization: what if you can’t see or hear?3.8 Limiting cases and effective (reduced) systems3.9 Visualizing calculus part I: Derivatives 3.10 Visualizing calculus part II: Integrals 3.11 Critically thinking about how best to visualize your results 3.12 Examples of visualization and presentation of data3. 13. Visualizing various stages of cancer cell growth II. MODELS OF EVERYDAY THINGS 4. In the News: The Fun and the Dangerous4.1 Modeling the flight of objects through fluids: using science to play a better game 4.3 A Physics Nerd, A Cool Guy and a Pool Table 4.4 Understanding Things of Danger in Hindsight and Foresight 4.5 Diseases 5. The Dances of Guitars, Bridges, and Atoms5.1 Introductory Thoughts5.2 A finite difference simulation of a guitar string5.3 A little mathematical overhead that provides a wealth of understanding5.4 Living in 2D: Sheets and Drums5.5 Sometimes you win and sometimes you lose: Advantages and disadvantages of each method5.6 When resonance isn’t your friend: The Tacoma Narrows Bridge5.7 Matter waves: Schrödinger’s Equation 6. Going with the Flow6.1. Introductory thoughts6.2 How fluids move around boundaries6.3 A sample program that calculates wind velocity in Cartesian coordinates 6.4 Snow in July6.5 A sample program that simulates a snowstorm 6.6 How fluids move through porous media6.7 The Heat Equation III. BEYOND EVERYDAY PHENOMENA 7. One of the Most Versatile Simulation Tools Around7.1 Introduction7.2 Theory behind the Material Point Method7.3. A Material Point Method Program7.4 Applications of the Material Point Method Simulation 8. Simulations that Explore Atoms and Planets8.1 Introduction to Molecular Dynamics computer simulations8.2 Molecular Dynamics simulation of a system of particles8.3 Monte Carlo Simulations8.4 How do we choose MD or MC?8.5. The Dynamics of Planetary and Galactic Systems 8.6. Advanced planetary dynamics methods designed to save time: go climb a tree IV. A GLIMPSE INTO MORE ADVANCED COMPUTING 9. Parallel Computing, Scripting, and GPUs9.1Introductory thoughts9.2 Decompositions: Breaking up is easy to do9.3 Example Parallel Programs9.4 Compiling and executing MPI codes 9.5 UNIX Scripting9.6 Graphical Processing Units (GPU’s)