Computational Methods for Fluids and Soft Matter (AC274): Plan Sauro Succi, G. Falcucci and P. Mocz IACS Harvard

* Understanding and Modeling the Behavior of Matter in Motion (fluids and soft matter) Goal * Cars-airplanes-ships … but also blood, droplets and DNA!

 (Everything flows) (Heraclitus, ~500 a.C.)

AC274: Part I 1. On the Four Levels (9/2) 2. The Navier-Stokes equations (9/4) 3. Discretization of PDE’s I (9/9) 4. Discretization of PDE’s II (9/11) * Gap 1: PDE Assignement 5. Finite Volumes/Elements (9/23) 6. Incompressible Navier-Stokes (9/25) 7. Compressible Navier-Stokes (9/30) 8. Lagrangian methods (10/2) 9. Spectral methods (10/7) 10. Flows with Interfaces (10/9) * Gap 2: NSE Assignement

Part II: Mesoscale Methods 1.Particles in Cell (10/21) 2.Molecular Dynamics (10/23) 3.Direct Simulation MonteCarlo (10/28) 4.Lattice Gas Cellular Automata (10/30) 5.Lattice Boltzmann 1 (11/4) 6.Lattice Boltzmann 2 (11/6) * Gap 3: Choose the final project 7. Dissipative Particle Dynamics (11/18) 8. Smoothed Particle Hydrodynamics (11/20) 9. N-body methods (11/25) 10. Agent models for active matter (11/27) ======================================== * Final Project due (12/12) * Oral discussion (12/15-19)

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Classes: Tuesday / Thursday 2:30 – 4:30 Maxwell Dworkin 221Maxwell Dworkin 221