Events | Mechanical Engineering

Optimization of the Boltzmann Equation

April 10, 2023
Speaker
Professor Russel Caflisch
Location
ESB 1001
Type
Seminar
The kinetics of rarefied gasses and plasmas are described by the Boltzmann equation and numerically approximated by the Direct Simulation Monte Carlo (DSMC) method. We present an optimization method for DSMC, derived from an augmented Lagrangian. After a forward (in time) solution of DSMC, adjoint variables are found by a backwards solver. They are equal to velocity derivatives of an objective function, which can then be optimized. This is joint work with Yunan Yang (ETH & Cornell) and Denis Silantyev (U Colorado, Colorado Springs).