A Discrete Linear Stability Analysis Framework for Two-Dimensional Laminar Flows

Stability Analysis of Two-Dimensional Linear Time Invariant Discrete Systems

A two-dimensional linear time invariant arises in image processing and geophysics for processing seismic, gravity as well as magnetic data. Two dimensional recursive filters in the frequency domain poses a great challenge in its stability which affects the output that need to be very accurate. Many algebraic schemes are on hand to test the stability of two-dimensional systems. A typical algebra...

Stability Testing of Two-Dimensional Discrete Linear System Polynomials by a Two-Dimensional Tabular Form

A new test for determining whether a bivariate polynomial does not vanish in the closed exterior of the unit bicircle (is stable) is developed. A stable bivariate polynomial is the key for stability of two-dimensional (2-D) recursive linear discrete systems. The 2-D stability test stems from a modified stability test for one-dimensional (1-D) systems that has been developed by the author. It co...

Linear stability analysis of homogeneous three - dimensional tur - bulent flows

Submitted for the DFD12 Meeting of The American Physical Society Linear stability analysis of homogeneous three-dimensional turbulent flows ANAND MISHRA, SHARATH GIRIMAJI, Texas A&M University — We examine the stability characteristics of homogeneous three-dimensional mean flows. Such mean fields can be categorized based on the invariants of the velocity gradient tensor. In this study, the line...

Three-dimensional linear stability analysis of cavity flows

Numerical Simulations of the twoand three-dimensional linearized Navier–Stokes equations are performed to investigate instabilities of open cavity flows that are homogeneous in the spanwise direction. First, the onset of two-dimensional cavity instability is characterized over a range of Mach numbers, Reynolds numbers and cavity aspect ratios. The resulting oscillations are consistent with the ...

Elliptic Length Scales in Laminar, Two- Dimensional Supersonic Flows