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Adequate Numerical Solution of Air Pollution Problems by positive Difference Schemes on unbounded Domains

Please always quote using this URN:urn:nbn:de:0296-matheon-2742
  • In this work we deal with the numerical solution of some problems of air pollution. Since the problems are posed on unbounded domains we have to introduce artificial boundaries to confine the computational region. We construct and analyse (discrete) transparent boundary conditions for an implicit difference scheme. We discuss the concepts of positivity and monotonicity of difference schemes and briefly consider these properties of difference schemes for advection-diffusion equations arising in problems of air (and water) pollution. The efficiency and accuracy of our method is illustrated by an example.

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Metadaten
Author:d Dang Quang A, Matthias Ehrhardt
URN:urn:nbn:de:0296-matheon-2742
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2005/10/31
Release Date:2005/10/26
Tag:
Institute:Technische Universität Berlin
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M06 Finite difference methods
65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M12 Stability and convergence of numerical methods
Preprint Number:267
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