Repository: Freie Universit├Ąt Berlin, Math Department

Absorbing boundary conditions: a spectral collocation approach

Benacchio, T. and Bonaventura, L. (2013) Absorbing boundary conditions: a spectral collocation approach. International Journal for Numerical Methods in Fluids, 72 (10.1002/fld.3768). pp. 913-936. ISSN Online: 1097-0363

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/fld.376...

Abstract

We introduce a spectral collocation method for the discretization of the shallow water equations on a one dimensional semi-infinite domain, employing scaled Laguerre basis functions to obtain an accurate description of the solutions on finite regions of arbitrary size. The time discretization is based on a semi-implicit, semi-Lagrangian approach that handles the highly inhomogeneous node distribution without loss of efficiency. The method is first validated on standard test cases and then applied to the implementation of absorbing open boundary conditions by coupling the semi-infinite domain to a finite size domain on which the same equations are discretized by standard finite volume methods. Numerical experiments show that the proposed approach does not produce significant spurious reflections at the interface between the finite and infinite domain, thus providing a reliable tool for absorbing boundary conditions.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group
ID Code:1188
Deposited By: Ulrike Eickers
Deposited On:06 Dec 2012 15:56
Last Modified:08 Jun 2013 09:06

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