Numerical Analysis of Flows with Moving Boundaries
Date and Time: Jun 5th at 14:15, LSTM Seminar Room
Speaker: Prof. Dr.-Ing. Wolfgang Schröder, RWTH Aachen University
Topic: Numerical Analysis of Flows with Moving Boundaries
Abstract: A Cartesian cut-cell method for viscous flows interacting with freely moving boundaries is presented. The method enables a sharp resolution of the embedded boundaries and strictly conserves mass, momentum, and energy. A new explicit Runge-Kutta scheme (PC-RK) is introduced. It is a predictor–corrector type reformulation of a popular class of Runge-Kutta methods which substantially reduces the computational effort for tracking the moving boundaries and subsequently reinitializing the solver. It impairs neither stability nor accuracy. A formulation for the treatment of small cut cells is proposed with high accuracy and robustness for arbitrary geometries based on a weighted Taylor-series approach solved via singular-value decomposition. The efficiency, accuracy, broad applicability of the method are demonstrated for several three-dimensional flows such as particles in homogeneous isotropic turbulence, particle-laden turbulent free jets, internal combustion engines, and turbo engines.