| LEC # | TOPICS | INSTRUCTORS |
|---|---|---|
| Introduction | ||
| 1 | Overview - Aspirations of Modeling and Simulation, Logistics (PDF) | Yip |
| 2 | Diffusion at the Particle Level (PDF) | Yip |
| 3 | From Random Walks to Continuum Diffusion (PDF) | Bazant |
| Part 1: Continuum Methods (CM) (PDF) | ||
| 4 | Conservation Laws | Rosales |
| 5 | Constitutive Relations | Rosales |
| 6 | Discrete/Continuum Issues | Rosales |
| 7 | Finite Difference Methods | Powell |
| 8 | Weighted Residual Finite Element Methods | Powell |
| 9 | Heat Conduction | Powell |
| 10 | Materials Processing Applications | Powell |
| 11 | Variational Finite Element Methods | Ulm |
| 12 | Elasticity Concepts and Problems | Ulm |
| 13 | Applications in Structural Mechanics | Ulm |
| 14 | Equations of Fluids Dynamics | Beers |
| 15 | Problems in Incompressible Flow | Beers |
| 16 | Fluid-Structure Interactions | Radovitzky |
| 17 | Multiscale Problems involving Continuum Mechanics | Radovitzky |
| 18 | CM Review | |
| 19 | Quiz 1 | |
| Part 2: Particle Methods (PM) | ||
| 20 | Monte Carlo Methods I: Percolation (PDF) | Bazant |
| 21 | Monte Carlo Methods II: Fractal Patterns (PDF) | Bazant |
| 22 | Monte Carlo Methods III: Random Packings | Bazant |
| 23 | Basic Monte Carlo (PDF) | Mirny |
| 24 | Monte Carlo Modeling of Physical Systems (PDF) | Mirny |
| 25 | Optimization by MC and Genetic Programming (PDF) | Mirny |
| 26 | Stochastic Simulations in Biology | Mirny |
| 27 | Basic Classical Molecular Dynamics (PDF - 1.6 MB) | Buehler |
| 28 | Introduction to Interatomic Potentials (PDF - 1.7 MB) | Buehler |
| 29 | Modeling of Metals (PDF - 2.6 MB) | Buehler |
| 30 | Reactive Potentials (PDF - 2.9 MB) Dislocations in Nickel (AVI - 18.7 MB) | Buehler |
| 31 | MD Simulation of Fluids (PDF) | Hadjiconstantinou |
| 32 | Dilute Gases and Direct Simulation Monte Carlo (DSMC) I (PDF) | Hadjiconstantinou |
| 33 | Dilute Gases and DSMC II | Hadjiconstantinou |
| 34 | PM Review | |
| 35 | Quiz 2 | |
| Part 3: Quantum Methods (QM) | ||
| 36 | Quantum Calculations in Modeling and Simulation | Yip |
| 37 | Introduction - Hartree-Fock and Density Function Theory Methods | Yip |
| Final Project Presentations | ||