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A perfectly matched layer applied to a reactive scattering problem. | LitMetric

A perfectly matched layer applied to a reactive scattering problem.

J Chem Phys

Department of Information Technology, Division of Scientific Computing, Uppsala University, Uppsala 751 05, Sweden.

Published: August 2010

AI Article Synopsis

  • The PML technique is used for accurately truncating domains in a reactive scattering problem involving the adsorption and desorption of H(2) on a surface.
  • The study employs finite difference methods for spatial discretization and the Arnoldi method for time propagation, comparing PML's effectiveness with other techniques like monomial and transmission-free complex absorbing potentials.
  • Results show that PML is both accurate and efficient, delivering controlled errors for high-accuracy numerical simulations.

Article Abstract

The perfectly matched layer (PML) technique is applied to a reactive scattering problem for accurate domain truncation. A two-dimensional model for dissociative adsorbtion and associative desorption of H(2) from a flat surface is considered, using a finite difference spatial discretization and the Arnoldi method for time-propagation. We compare the performance of the PML to that of a monomial complex absorbing potential, a transmission-free complex absorbing potential, and to exterior complex scaling. In particular, the reflection properties due to the numerical treatment are investigated. We conclude that the PML is accurate and efficient, especially if high accuracy is of significance. Moreover, we demonstrate that the errors from the PML can be controlled at a desired accuracy, enabling efficient numerical simulations.

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Source
http://dx.doi.org/10.1063/1.3458888DOI Listing

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