Spatial stability of incompressible attachment-line flow

Linear global instability of non-orthogonal incompressible swept attachment-line boundary-layer flow

José Miguel Pérez, Daniel Rodríguez and Vassilis Theofilis Journal of Fluid Mechanics / Volume 710 / November 2012, pp 131 ­ 153 DOI: 10.1017/jfm.2012.354, Published online: 23 August 2012 Link to this article: http://journals.cambridge.org/abstract_S0022112012003540 How to cite this article: José Miguel Pérez, Daniel Rodríguez and Vassilis Theofilis (2012). Linear global instability of non­ or...

Spatial stability of the compressible attachment-line boundary layer and generalized similarity properties

We consider the linear stability of compressible attachment-line flow within the spatial framework. A fully two-dimensional approach is developed to compute the eigensolutions. The results show that compressibility has a stabilizing influence on the attachment-line boundary layer. The mode which satisfies the Görtler-Hämmerlin assumption appears as the least stable mode. Furthermore, the result...

4 Dynamically Incompressible Flow

Stability Analysis of Large- Scale Incompressible Flow Calculations on Massively Parallel Computers

A set of linear and nonlinear stability analysis tools have been developed to analyze steady state incompressible flows in 3D geometries. The algorithms have been implemented to be scalable to hundreds of parallel processors. The linear stability of steady state flows are determined by calculating the rightmost eigenvalues of the associated generalize eigenvalue problem. Nonlinear stability is ...

Convergence of gauge method for incompressible flow

A new formulation, a gauge formulation of the incompressible Navier-Stokes equations in terms of an auxiliary field a and a gauge variable φ, u = a +∇φ, was proposed recently by E and Liu. This paper provides a theoretical analysis of their formulation and verifies the computational advantages. We discuss the implicit gauge method, which uses backward Euler or Crank-Nicolson in time discretizat...