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 language | English |
|---|---|
| Title of host publication | Computer Design and Computational Defense Systems |
| Publisher | Nova Science Publishers, Inc. |
| Pages | 93-125 |
| Number of pages | 33 |
| ISBN (Print) | 9781611227567 |
| Publication status | Published - Jan 2011 |
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Keywords
- Direct method
- Monotone approximation
- Nozzle design
- Subsonic nozzle
- Supersonic nozzle
- Variational problem
ASJC Scopus subject areas
- Computer Science(all)
Cite this
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 proceeding › Chapter
}
TY - CHAP
T1 - Optimal nozzle design with monotonicity constraints
AU - Volkov, Yuri S.
AU - Galkin, Vladislav M.
PY - 2011/1
Y1 - 2011/1
N2 - 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.
AB - 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.
KW - Direct method
KW - Monotone approximation
KW - Nozzle design
KW - Subsonic nozzle
KW - Supersonic nozzle
KW - Variational problem
UR - http://www.scopus.com/inward/record.url?scp=84892105471&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84892105471&partnerID=8YFLogxK
M3 - Chapter
SN - 9781611227567
SP - 93
EP - 125
BT - Computer Design and Computational Defense Systems
PB - Nova Science Publishers, Inc.
ER -