Higher order solution of the Euler equations on unstructured grids using quadratic reconstruction
Abstract
High 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.
- Publication:
-
AIAA, Aerospace Sciences Meeting
- Pub Date:
- January 1990
- Bibcode:
- 1990aiaa.meetQR...B
- Keywords:
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- Computational Fluid Dynamics;
- Computational Grids;
- Euler Equations Of Motion;
- Finite Volume Method;
- Flow Characteristics;
- Fluid Mechanics and Heat Transfer