Numerical investigation of supersonic flow for axisymmetric cones

Andreas Gross, Hermann F. Fasel

Research output: Contribution to journalArticlepeer-review

42 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)133-142
Number of pages10
JournalMathematics and Computers in Simulation
Issue number1
StatePublished - Sep 2010


  • Axisymmetric flow
  • Cone
  • Shock wave
  • Simulation
  • Supersonic

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science
  • Numerical Analysis
  • Modeling and Simulation
  • Applied Mathematics


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