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On estimating pressure build‐up in severely accelerated, shocked flow
Author(s) -
Cooke Charlie H.
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.1650180602
Subject(s) - piston (optics) , mechanics , acceleration , rotational symmetry , flow (mathematics) , domain (mathematical analysis) , physics , computational fluid dynamics , mathematics , mathematical analysis , geometry , classical mechanics , optics , wavefront
A new approach to the calculation of the high pressures characterizing the flow field in front of a piston undergoing severe acceleration over the short term is presented. In contrast with previous approaches where the computational domain is altered but which stop short of transforming velocities, here the problem is solved in an accelerating non‐Euclidean co‐ordinate system where the piston is stationary. The method is applied to a study of the problem of premature sabot separation. Through use of Harten's second‐order‐accurate TVD scheme, flow simulations are performed for both 1D and 3D axisymmetric geometries. The simple 1D model gives pressure profiles surprisingly close to those of the more physical 3D model.