Uncertainty quantification and optimization for hyperbolic and kinetic models KU Leuven
Classical methods for moving boundary problems in kinetic equations become complicated and inaccurate because of a moving rigid body's arbitrary intersection of cells. We will develop arbitrary Lagrangian-Eulerian (ALE) methods using least square approximations, based on a similar approach for macroscopic equations, and combine the approach with higher-order AP implicit-explicit time discretization methods. We will compare with Direct ...