Implicit Approaches for Moving Boundaries in a 3-D Cartesian Method

This work considers numerical simulation of three-dimensional flows with time-evolving boundaries. Such problems pose a variety of challenges for numerical schemes,and have received a substantial amount of attention in the recent literature. Sincesuch simulations are unsteady, time-accurate solution of the governing equations isrequired. In special cases, the body motion can be treated by a uniform rigid mo-tion of the computational domain. For the more general situation of relative-bodymotion, however, this simplification is unavailable and tile simulations require a mech-anism for ensuring that the mesh evolves with the moving boundaries. This involves a"remeshing" of the computational domain (either locali:,ed or global) at each physicaltimestep, and places a premium on both the speed and robustness of the remeshingalgorithms. This work presents a method which includes unsteady flow simulation,rigid domain motion, and relative body motion using a time-evolving Cartesian gridsystem in three dimensions.*Member AIAAtSenior Member AIAACopyright @2003 by the American Institute of Aeronautics and Astronautics, Inc. No copyrightis asserted in the United States under Title 17, U. S. Code. The U. S. Government has a royalty-freelicense to exercise all rights under the copyright claimed herein for Governmental purposes. Allother rights are reserved by the copyright owner.