Numerical investigation of supersonic flow for axisymmetric cones

Andreas Gross and Hermann F. Fasel

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 81, issue 1, 133-142

Abstract: An existing curvilinear finite-volume code with robust shock-capturing scheme was modified to allow for simulations of supersonic flow for axisymmetric cone geometries. It is shown how for an axisymmetric coordinate system the convective and viscous flux derivatives in the circumferential direction reduce to a y-momentum equation source term. The advantage of this approach over an axisymmetric code is that the governing equations and the discretization do not need to be changed. This paper provides a detailed derivation of the axisymmetric source terms from the full Navier–Stokes equations. Results are shown for a sharp and a blunt cone for approach flow Mach numbers of M=3.5 and M=7.99.

Keywords: Axisymmetric flow; Supersonic; Shock wave; Cone; Simulation (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2010:i:1:p:133-142

DOI: 10.1016/j.matcom.2010.07.018

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