Higher order solution of the Euler equations on unstructured grids using quadratic reconstructionHigh order accurate finite-volume schemes for solving the Euler equations of gasdynamics are developed. Central to the development of these methods are the construction of a k-exact reconstruction operator given cell-averaged quantities and the use of high order flux quadrature formulas. General polygonal control volumes (with curved boundary edges) are considered. The formulations presented make no explicit assumption as to complexity or convexity of control volumes. Numerical examples are presented for Ringleb flow to validate the methodology.
Document ID
19900039847
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Barth, Timothy J. (NASA Ames Research Center Moffett Field, CA, United States)
Frederickson, Paul O. (NASA Ames Research Center Moffett Field, CA, United States)