Numerical investigation of supersonic flow for axisymmetric cones

Andreas Gross, Hermann F Fasel

Research output: Contribution to journalArticle

12 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)133-142
Number of pages10
JournalMathematics and Computers in Simulation
Volume81
Issue number1
DOIs
StatePublished - Sep 2010

Fingerprint

Supersonic Flow
Supersonic flow
Numerical Investigation
Cones
Cone
Source Terms
Navier Stokes equations
Mach number
Momentum
Fluxes
Derivatives
Shock Capturing
Geometry
Finite Volume
Governing equation
Navier-Stokes Equations
Discretization
Derivative
Simulation

Keywords

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

ASJC Scopus subject areas

  • Modeling and Simulation
  • Numerical Analysis
  • Applied Mathematics
  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Numerical investigation of supersonic flow for axisymmetric cones. / Gross, Andreas; Fasel, Hermann F.

In: Mathematics and Computers in Simulation, Vol. 81, No. 1, 09.2010, p. 133-142.

Research output: Contribution to journalArticle

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