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New results for the normal shock in inviscid flow at a curved surface
Author(s) -
Zierep J.
Publication year - 2003
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310051
Subject(s) - inviscid flow , transonic , euler equations , singularity , shock (circulatory) , flow (mathematics) , mechanics , mathematics , euler's formula , surface (topology) , aerodynamics , mathematical analysis , classical mechanics , physics , geometry , medicine
The well known problem of a normal shock in inviscid flow at a curved wall is discussed again. Behind the shock we have in general a singularity for the gradients of velocity and pressure. This singularity is discussed on the one hand for the full Euler equations with shock equations and on the other hand for the Small Disturbance Transonic equations. Some misunderstandings and open questions in the past are corrected and answered. The solutions are of interest for similar problems in Gasdynamics and for adaption of the local grids for CFD‐methods.