Verification of the Parabolized Stability Equationsfor Its Application to Compressible Boundary Layers

ZHANG Yong-ming; ZHOU Heng

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ZHANG Yong-ming, ZHOU Heng. Verification of the Parabolized Stability Equationsfor Its Application to Compressible Boundary Layers[J]. Applied Mathematics and Mechanics, 2007, 28(8): 883-893.

Citation:

ZHANG Yong-ming, ZHOU Heng. Verification of the Parabolized Stability Equationsfor Its Application to Compressible Boundary Layers[J]. Applied Mathematics and Mechanics, 2007, 28(8): 883-893.

Citation:

ZHANG Yong-ming, ZHOU Heng. Verification of the Parabolized Stability Equationsfor Its Application to Compressible Boundary Layers[J]. Applied Mathematics and Mechanics, 2007, 28(8): 883-893.

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Verification of the Parabolized Stability Equationsfor Its Application to Compressible Boundary Layers

ZHANG Yong-ming¹,
ZHOU Heng^1,2

1.
Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China;

Received Date: 2006-05-10
Rev Recd Date: 2007-06-21
Publish Date: 2007-08-15

Abstract

Abstract

Parabolized stability equations(PSE)were used to study the evolution of disturbances in compressible boundary layers.The results were compared with those obtained by direct numerical simulations(DNs),to check if the results from PSE method were reliable or not.The results of comparison showed that no matter for subsonic or supersonic boundary layers,results from both the PSE method and DNS method agreed with each other reasonably well.And the agreement between temperatures is better than those between velocities.In addition,linear PSE was used to calculate the neutral curve for small amplitude disturbances in a supersonic boundary layer.Compared with those obtained by linear stability theory(LST),the situation is similar to those for incompressible boundary layer.
- parabolized stability equation,
- direct numerical simulation,
- linear stability theory

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References(17)

References

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