Numerical solution of several models of internal transonic flow

Jaroslav Fořt; Karel Kozel

Applications of Mathematics (2003)

  • Volume: 48, Issue: 6, page 515-524
  • ISSN: 0862-7940

Abstract

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The paper deals with numerical solution of internal flow problems. It mentions a long tradition of mathematical modeling of internal flow, especially transonic flow at our department. Several models of flow based on potential equation, Euler equations, Navier-Stokes and Reynolds averaged Navier-Stokes equations with proper closure are considered. Some mathematical and numerical properties of the model are mentioned and numerical results achieved by in-house developed methods are presented.

How to cite

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Fořt, Jaroslav, and Kozel, Karel. "Numerical solution of several models of internal transonic flow." Applications of Mathematics 48.6 (2003): 515-524. <http://eudml.org/doc/33164>.

@article{Fořt2003,
abstract = {The paper deals with numerical solution of internal flow problems. It mentions a long tradition of mathematical modeling of internal flow, especially transonic flow at our department. Several models of flow based on potential equation, Euler equations, Navier-Stokes and Reynolds averaged Navier-Stokes equations with proper closure are considered. Some mathematical and numerical properties of the model are mentioned and numerical results achieved by in-house developed methods are presented.},
author = {Fořt, Jaroslav, Kozel, Karel},
journal = {Applications of Mathematics},
keywords = {transonic flow; mathematical models; numerical solution},
language = {eng},
number = {6},
pages = {515-524},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Numerical solution of several models of internal transonic flow},
url = {http://eudml.org/doc/33164},
volume = {48},
year = {2003},
}

TY - JOUR
AU - Fořt, Jaroslav
AU - Kozel, Karel
TI - Numerical solution of several models of internal transonic flow
JO - Applications of Mathematics
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 6
SP - 515
EP - 524
AB - The paper deals with numerical solution of internal flow problems. It mentions a long tradition of mathematical modeling of internal flow, especially transonic flow at our department. Several models of flow based on potential equation, Euler equations, Navier-Stokes and Reynolds averaged Navier-Stokes equations with proper closure are considered. Some mathematical and numerical properties of the model are mentioned and numerical results achieved by in-house developed methods are presented.
LA - eng
KW - transonic flow; mathematical models; numerical solution
UR - http://eudml.org/doc/33164
ER -

References

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  1. Numerical solution of transonic flow through a cascade with slender profiles, Proceedings of 6 International conference on numerical methods in fluid dynamics, SAN Moscow, 1979, and Lecture notes. (1979) 
  2. Composite schemes on triangular meshes, Proceedings of the Conference on Hyperbolic Problems: Theory, Numerics, Applications, Magdeburg 2000, H. Freistühler, G. Warnecke (eds.), Birkhäuser, Basel, 2002, pp. 563–572. (2002) MR1882958
  3. Numerical solution of inviscid and viscous flow using modern schemes and quadrilateral or triangular mesh, Math. Bohem. 126 (2001), 379–393. (2001) MR1844276
  4. Numerical simulation of 3D transonic flow, Proceedings of IMACS congress, Lausanne, August 2000, , , . 
  5. Central and upwind schemes applied in internal aerodynamics of transonic flows, Proceedings of the conference Topical Problems of Fluid Mechanics ’99, K. Kozel, J. Příhoda (eds.), IT AS CR, Prague, 1999, pp. 19–22. (1999) 
  6. Mathematical models of inviscid compressible flow in profile cascade and its numerical solution, Habilitation Thesis, Fac. of Mechanical Eng., TU Prague, 1994. (Czech) (1994) 
  7. 10.1007/BF02165273, Numer. Math. 13 (1969), 51–77. (1969) MR0250496DOI10.1007/BF02165273
  8. Entropy regularization of the transonic potential flow problem, Comment. Math. Univ. Carol. 25 (1984), 431–443. (1984) MR0775562
  9. On the solvability of transonic potential flow problem, Z.  Anal. Anwendungen (1984), . (1984) MR0807140

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