Numerical simulation of two-dimensional unsteady transonic flows using the full-potential equation

AIAA Journal ◽  
1984 ◽  
Vol 22 (8) ◽  
pp. 1035-1041 ◽  
Author(s):  
J. B. Malone ◽  
N. L. Sankar
Keyword(s):  
Numerical Simulation ◽  
Full Potential ◽  
Two Dimensional ◽  
Transonic Flows ◽  
Potential Equation

Computation of Supercritical Compressor and Turbine Cascades with a Design Method for Transonic Flows

1980 ◽  
Vol 102 (1) ◽  
pp. 68-74 ◽  
Author(s):  
E. Schmidt
Keyword(s):  
Design Method ◽  
Density Ratio ◽  
Full Potential ◽  
Transonic Flows ◽  
Potential Equation ◽  
Contour Shape ◽  
Cascade Arrangement ◽  
Turbine Cascades ◽  
Transonic Region ◽  
Experimental Comparisons

The development of supercritical cascades follows experience with supercritical single profiles. In cascade arrangement strong inter-blade influences exist in the transonic region, so that a desired pressure distribution, starting from the contour shape, is not easy to realize. For these cases, a design method has been developed in which the boundary conditions can be prescribed in a simple and clear manner. Thickness and deflection are not restricted, since the full potential equation is treated. Variation of the axial velocity density ratio is provided for. The solution by relaxation leads to short computing times. Experimental comparisons for turbine and compressor cascades show the applicability of the method.

Fast, Conservative Schemes for the Full Potential Equation Applied to Transonic Flows

AIAA Journal ◽  
1979 ◽  
Vol 17 (2) ◽  
pp. 145-152 ◽  
Author(s):  
Terry L. Holst ◽  
William F. Ballhaus
Keyword(s):  
Full Potential ◽  
Transonic Flows ◽  
Potential Equation ◽  
Conservative Schemes

The Impact of Three-Dimensional Analysis on Fan Design

1983 ◽  
Author(s):  
Daniel R. Clemmons ◽  
Paul R. Dodge ◽  
Walter L. Blackmore
Keyword(s):  
Numerical Simulation ◽  
Dimensional Analysis ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Minimum Loss ◽  
Transonic Flows ◽  
Cascade Testing ◽  
Relative Ranking ◽  
The Impact ◽  
Made In

In the last few years, great strides have been made in the numerical simulation of flows in turbomachinery blade rows. Efforts began with the development of two-dimensional (2-D) solutions such as those of Katsanis, et. al., Dodge, Gopalakrishnan, and others. These solutions solved subsonic, and in some cases, transonic flows in a blade-to-blade plane. By proper use of these methods, much of the information previously obtainable only from cascade testing could now be computed. Although losses could not be directly calculated, Dodge and Serovy showed that inviscid deviation angles, minimum loss angles of attack, and relative ranking between competing blade shapes could be determined by analysis.

An Alternative Treatment of Boundary Conditions for the Flow over Thick Wings

1977 ◽  
Vol 28 (2) ◽  
pp. 90-96 ◽  
Author(s):  
D Nixon
Keyword(s):  
Boundary Conditions ◽  
Analytic Continuation ◽  
Detailed Analysis ◽  
Alternative Treatment ◽  
Two Dimensional ◽  
Transonic Flows ◽  
Potential Equation ◽  
Flow Problems ◽  
Thin Wing ◽  
Interior Flow

SummaryAn alternative method of treating the boundary conditions for wing and body flow problems is developed and a detailed analysis for the flow around two-dimensional aerofoils is given. The basis of the method is the concept of an analytic continuation of the exterior flow to give a fictitious interior flow and a modified problem which can be solved using the ideas of thin-wing theory. The detailed analysis for flows described by the linear Prandtl-Glauert potential equation is given. The results obtained for several examples are satisfactory. The application of the theory to continuous and discontinuous transonic flows is outlined.

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