Optimal nozzle design with monotonicity constraints

Yuri S. Volkov, Vladislav M. Galkin

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Two classical gas dynamics axisymmetric problems are considered: the design of a supersonic nozzle with a corner point in the minimum cross section and a uniform exit characteristic and the design of a subsonic nozzle part with a plane sonic line in the minimum cross section. Numerical solving was realized by a direct method by means of minimization of a suitable functional with a minimum corresponding to the optimum nozzle profile. At representation of a nozzle profile were used polynomials, splines and logarithmic functions. In some cases minimization with monotonicity constraits on a nozzle profile is the unique reason of success.

Original languageEnglish
Title of host publicationComputer Design and Computational Defense Systems
PublisherNova Science Publishers, Inc.
Pages93-125
Number of pages33
ISBN (Print)9781611227567
Publication statusPublished - Jan 2011

Fingerprint

Nozzle design
Nozzles
Gas dynamics
Splines
Polynomials

Keywords

  • Direct method
  • Monotone approximation
  • Nozzle design
  • Subsonic nozzle
  • Supersonic nozzle
  • Variational problem

ASJC Scopus subject areas

  • Computer Science(all)

Cite this

Volkov, Y. S., & Galkin, V. M. (2011). Optimal nozzle design with monotonicity constraints. In Computer Design and Computational Defense Systems (pp. 93-125). Nova Science Publishers, Inc..

Optimal nozzle design with monotonicity constraints. / Volkov, Yuri S.; Galkin, Vladislav M.

Computer Design and Computational Defense Systems. Nova Science Publishers, Inc., 2011. p. 93-125.

Research output: Chapter in Book/Report/Conference proceedingChapter

Volkov, YS & Galkin, VM 2011, Optimal nozzle design with monotonicity constraints. in Computer Design and Computational Defense Systems. Nova Science Publishers, Inc., pp. 93-125.
Volkov YS, Galkin VM. Optimal nozzle design with monotonicity constraints. In Computer Design and Computational Defense Systems. Nova Science Publishers, Inc. 2011. p. 93-125
Volkov, Yuri S. ; Galkin, Vladislav M. / Optimal nozzle design with monotonicity constraints. Computer Design and Computational Defense Systems. Nova Science Publishers, Inc., 2011. pp. 93-125
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