Yunan Yang - Adjoint Direct Simulation Monte Carlo for Optimization and Control of Rarefied Flows

Recorded 20 May 2026. Yunan Yang of Cornell University presents "Adjoint Direct Simulation Monte Carlo (DSMC) for Optimization and Control of Rarefied Flows" at IPAM's Multi-Fidelity Methods to Enable Robust Optimization and Real-Time Control of Fusion Processes Workshop.
Abstract: We derive adjoint equations for Direct Simulation Monte Carlo (DSMC) methods applied to the spatially inhomogeneous Boltzmann equation. The formulation incorporates spatial transport and a range of boundary conditions, including periodic boundaries, specular and thermal reflection, and prescribed inflow. The resulting adjoint system enables efficient gradient evaluation for quantities of interest defined through particle-based simulations. Numerical experiments validate the accuracy of the adjoint formulation and demonstrate its use in sensitivity analysis and gradient-based optimization. This work provides a foundation for integrating kinetic-scale particle methods into multi-fidelity optimization and control frameworks, with potential applications to rarefied plasma flows and edge physics in fusion devices.
Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-iv-multi-fidelity-methods-to-enable-robust-optimization-and-real-time-control-of-fusion-processes/?tab=overview Receive SMS online on sms24.me

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