A Lagrangian method for the numerical solution of the Euler equations for transonic flows

2008 ◽  
pp. 318-324 ◽  
Author(s):  
Goetz H. Klopfer
Keyword(s):  
Numerical Solution ◽  
Euler Equations ◽  
Lagrangian Method ◽  
Transonic Flows

Block-structured solution of Euler equations for transonic flows

AIAA Journal ◽  
1987 ◽  
Vol 25 (12) ◽  
pp. 1570-1576 ◽  
Author(s):  
Akin Ecer ◽  
John T. Spyropoulos ◽  
Vladimir Rubek
Keyword(s):  
Euler Equations ◽  
Transonic Flows ◽  
Block Structured

An Accurate and Efficient Euler Solver for Three-Dimensional Turbomachinery Flows

1986 ◽  
Author(s):  
C. F. Shieh ◽  
R. A. Delaney
Keyword(s):  
Numerical Solution ◽  
Euler Equations ◽  
Numerical Scheme ◽  
Three Dimensional ◽  
Curvilinear Coordinates ◽  
Analysis Method ◽  
Surfaces Of Revolution ◽  
Conservative Form ◽  
Turbine Cascades ◽  
Euler Solver

Accurate and efficient Euler equation numerical solution techniques are presented for analysis of three-dimensional turbomachinery flows. These techniques include an efficient explicit hopscotch numerical scheme for solution of the 3-D time-dependent Euler equations and an O-type body-conforming grid system. The hopscotch scheme is applied to the conservative form of the Euler equations written in general curvilinear coordinates. The grid is constructed by stacking from hub to shroud 2-D O-type grids on equally spaced surfaces of revolution. Numerical solution results for two turbine cascades are presented and compared with experimental data to demonstrate the accuracy of the analysis method.

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