A DNS Approach To Stability Study About A
Supersonic Mixing Layer Flow
Author(s)
F. Guan, Q. Wang, N. Zhu, Z. Li & Q. Shen
Abstract
In this paper linear and nonlinear issues of a mixing layer at Mc=1.2 are studied
with a DNS method. Navier–Stokes equations in perturbation form are solved
with a finite difference method of third-order accuracy. An approximated
boundary condition treatment of small disturbance along the outside boundary is
proposed on flow characteristics. This boundary condition is verified to be valid
in the numerical case. Linear issue of a mixing layer at Mc=1.2 is simulated.
Three modes of instability in the mixing layer have been simulated: Slow-Mode,
Fast-Mode and Mix-Mode. Nonlinear issues of the mixing layer at Mc=1.2 are
also studied. The mode transition of the mixing layer instability is simulated. At
low-frequency disturbance, simple mode instability develops in the mixing layer
upstream, which is Slow-Mode instability. In the middle of the mixing layer, the
Mix-Mode instability develops, and Mix-Mode instability are shifting to Fast-
Mode in the downstream.
Keywords: mixing layer, DNS, boundary condition, acoustic radiation vortex
mod, mode transition.
1 Introduction
Instability of a supersonic mixing layer is a fundamental phenomenon leading to
turbulent flow. It is important to study the production and evolution of
two-dimensional and three-dimensional unstable structures in a planar
supersonic mixing layer to understand the mechanism of transition. It is known
that there are several ways leading to the development of three-dimensional
structures. Secondary instability is a natural way to make three-dimensional
structures and then to transition.
Keywords
mixing layer, DNS, boundary condition, acoustic radiation vortex
mod, mode transition.
Related Book
Other papers in this volume
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