A review on the development of Perfectly
Matched Layer technique for Computational Aeroacoustics
By： Prof. Fangqiang Hu
Old Dorminic University of US
Part I: PML for Linear problems
Part II: PML non-linear Euler and Navier-Stokes equations
Recent developments on the Perfectly Matched Layer (PML) as an absorbing boundary condition for Computational Aeroacoustics problems are reviewed. In Part I, construction of Perfectly Matched Layers for the linearized Euler equations with a uniform and non-uniform mean flow is presented. Basic techniques of deriving a stable PML for the governing equations in fluid mechanics are introduced. In Part II, extensions of the PML technique to non-linear Euler and Navier-Stokes equations are given. Numerical examples will be presented to illustrate the effectiveness of the PML boundary conditions.