Selçuk Journal of Applied Mathematics

www.selcuk.edu.tr




 Selçuk Journal of
  Applied Mathematics

  Summer-Autumn, 2000
  Volume  1
  Number 1

 
Research Center of 
  Applied Mathematics


 SJAM Summer-Autumn 2000, Volume 1 - Number 1

Diagram Design and Analysis of Aerodynamics Problems with Mathematica

Victor G. Ganzha1, Evgenii V. Vorozhtsov2

1 Institut für Informatik, Technische Universität München, D-80290 München, Germany
   email: ganzha@informatik.tu-muenchen.de

2 Institute of Theoretical and Applied Mechanics, Russian Academy of Sciences, Novosibirsk 630090, Russia
   email: vorozh@itam.nsc.ru

Received: August 24, 2000

To Prof. Dr. Chr. Zenger 60-th birthday
 

Summary
The development of new programming paradigms like the object-oriented programming (OOP) and parallel programming opens up the new prospects for the development of reliable and efficient program packages on the basis of those general-purpose computer algebra systems (CASs), which support these paradigms. We propose to use a diagram representation of the objects and methods while developing new big program packages for the solution of aerodynamics problems within the framework of Mathematica by using the OOP principles. We show at a number of computational examples that CAS Mathematica enables one to implement all the essential objects of such a goal-oriented package.

 

Key words
Euler equations, difference schemes, curvilinear grids, stability
 

Mathematics Subject Classification (1991): 65M10, 68C20
 

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