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Is the transonic flow around a cylinder

by N. Botta

(Report number 1992-15)

Abstract
The inviscid transonic flow about a circular cylinder is investigated at large times. For this scope the Euler equations are integrated numerically, according to a time dependent technique. The integration is based on an high resolution finite volume upwind method. Transitions to qualitatively different families of solutions have been observed by increasing the value of the free stream Mach number from 0.5 up to 1. In particular the breakdown of the periodic solution into an irregularly oscillating flow was noticed. Goal of this work is the description of these transitions and their interpretation on the basis of the physics of inviscid flow.

Keywords: unsteady transonic flow, circular cylinder, Eulerequations

@Techreport{B92_25,
  author = {N. Botta},
  title = {Is the transonic flow around a cylinder},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1992-15},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1992/1992-15.pdf },
  year = {1992}
}

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