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Thursday, February 2, 9:30 am in room MTH 3206, University of Maryland, College Park

Joint Numerical Analysis - Computational Science and Engineering Seminar

Cartesian Grid Methods for Compressible Flow in Complex Geometries

Prof. Marsha Berger

Courant Institute, New York University
berger@berger.cims.nyu.edu

We discuss compressible inviscid flow computations in complex regions such as the exterior of an aircraft. Our approach is to use non-body fitted rectangular (Cartesian) grids. Cartesian grids are easier to generate than body fitted grids, and simpler (for the most part) than unstructured meshes. This talk will survey the geometric information the flow solver needs to extract, for example, from a CAD description of the boundary. We will also discuss the numerical algorithms needed as the boundary intersects the grid in irregular ways. An adaptive mesh refinement strategy allows us to resolve fine features of the boundary and the flow field. We present accuracy studies in two dimensional model problems,and full three dimensional computations using realistic aircraft configurations.