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This page presents lecture notes for selected lecture sessions.
Lecture notes files.
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 |
|