Optimization of the Boltzmann Equation


Monday, April 10, 2023 - 3:30pm to 4:30pm


ESB 1001


Professor Russel Caflisch

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).

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