Marsha Berger
Courant Institute
New York University
Cartesian mesh methods with embedded geometry can easily and robustly produce a mesh in a very complicated domain. In exchange, these methods push the difficulty of dealing with the cut cells at the boundary onto the flow solver. In this talk we discuss some of the technical issues of stability and accuracy in solving pdes with cut cells and embedded boundaries, and review some proposed solutions. Computational results in 2 and 3 space dimensions will be presented.
This is joint work with Michael Aftosmis and Scott Murman of NASA Ames Research Center, and Christiane Helzel from the University of Bonn.