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Simulation of supersonic flows with detached shocks using a property convection method
Author(s) -
Milthorpe J. F.
Publication year - 1994
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650190905
Subject(s) - supersonic speed , mach number , mechanics , hypersonic speed , shock (circulatory) , physics , bluff , rotational symmetry , position (finance) , finance , medicine , economics
An algorithm based on the convection of fundamental flow quantities, i.e. mass, momentum and energy, has been described by the author previously. 1 Computer codes to implement the algorithm have been developed for two‐dimensional and axisymmetric flows. This algorithm has been further developed to improve the accuracy and stability of the calculations. In this paper the algorithm is used to calculate the flows about two‐dimensional and axisymmetric bluff bodies. Bodies of practical interest in supersonic and hypersonic flows are often sufficiently bluff for a detached shock to develop, and correct prediction of the shock stand‐off distance and the position of the sonic line is a useful test of numerical methods. The programme is used to calculate flows with a detached shock around three standard shapes: a sphere, a body of revolution with a flat nose and a plate with a flat nose. The Mach number range for the flows described is from 1.177 to 6.0. Comparisons are given with standard experimental results for the steady state stand‐off.

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