Perfectly matched layers for the heat and advection–diffusion equations
نویسندگان
چکیده
منابع مشابه
Perfectly matched layers for the heat and advection-diffusion equations
We design a perfectly matched layer for the advection-diffusion equation. We show that the reflection coefficient is exponentially small with respect to the damping parameter and the width of the PML and this independently of the advection and of the viscosity. Numerical tests assess the efficiency of the approach.
متن کاملPerfectly Matched Absorbing Layers for the Paraxial Equations
A new absorbing boundary technique for the paraxial wave equations is proposed and analyzed. Numerical results show the eeciency of the method. Couches absorbantes parfaitement adapt ees pour les equations paraxiales R esum e : Une nouvelle technique de conditions absorbantes pour les equations paraxiales est pr esent ee et analys ee. L'id ee est d'interpr eter puis de g en e-raliser le mod ele...
متن کاملPerfectly Matched Layers for Second Order Wave Equations
Numerical simulation of propagating waves in unbounded spatial domains is a challenge common to many branches of engineering and applied mathematics. Perfectly matched layers (PML) are a novel technique for simulating the absorption of waves in open domains. The equations modeling the dynamics of phenomena of interest are usually posed as differential equations (or integral equations) which mus...
متن کاملOn the Analysis and Construction of Perfectly Matched Layers for the Linearized Euler Equations
We present a detailed analysis of a recently proposed perfectly matched layer (PML) method for the absorption of acoustic waves. The split set of equations is shown to be only weakly well-posed, and ill-posed under small low order perturbations. This analysis provides the explanation for the stability problems associated with the spilt eld formulation and illustrates why applying a lter has a s...
متن کاملThe Analysis and Construction of Perfectly Matched Layers for the Linearized Euler Equations
We present a detailed analysis of a recently proposed perfectly matched layer (PML) method for the absorption of acoustic waves. The split set of equations is shown to be only weakly well-posed, and ill-posed under small low order perturbations. This analysis provides the explanation for the stability problems associated with the spilt field formulation and illustrates why applying a filter has...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2010
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2010.08.004