A floating-shock fitting method for the Euler equations has been developed that uses one-sided spatial differences along and across streamlines. The coordinate-invariant formulation of the spatial differences permits automatic capture of shears. Results are presented for unsteady shocked flow in a duct with a ramp, for supercritical flow over a circular cylinder, and for subsonic, transonic, and supersonic (0.3 is less than or equal to M(sub infinity) is less than 1.5) flow over airfoils. In flows with strong shears, the coordinate-invariant differencing concept appears to yield some gains in accuracy over Euler methods that rely on coordinate-aligned differencing concepts. In applications to transonic airfoils, fitted shocks have a tendency to be predicted upstream of captured shocks, regardless of whether coordinate-invariant or coordinate-aligned differencing is used. The coordinate-invariant differencing method requires between 2 and 3.5 times as much computing time as its coordinate-aligned counterpart.
Comparison of coordinate-invariant and coordinate-aligned upwinding for the Euler equations
AIAA Journal ; 32 , 9
1994-09-01
Miscellaneous
No indication
English
Comparison of Coordinate-Invariant and Coordinate-Upwinding for the Euler Equations
Online Contents | 1994
|Multidimensional upwinding and multigrid
AIAA | 1995
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