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Author(s):	Paepcke, Anne; Nicolai, Andreas
Title:
Abstract:	Die Simulation komplexer baukonstruktiver Details stellt hohe Anforderungen an numerische Lösungsverfahren. In dem Artikel wird sich auf das Alternating Direction Implicit (ADI)-Verfahren als Alternative zum klassischen Impliziten Euler-Verfahren konzentriert. Neben der direkten Anwendung wird eine Block-Variante eingeführt und mit zwei verschiedenen Lösungsstrategien kombiniert: als ADI-Zeitschrittverfahren und als ADI-Vorkonditionierer für ein Krylov-Unterraum-Verfahren innerhalb einer impliziten Euler-Zeitschrittintegration. Die numerischen Verfahren werden an zwei repräsentativen Beispielen getestet: der Trocknungsprozess einer Ziegelwand und ein Wärmebrückenproblem. Die Ergebnisse geben Aufschluss über die Anwendbarkeit der numerischen Methoden auf hochgradig nichtlineare Problemstellungen unter dem Einfluss unstetiger Materialeigenschaften. Chances and challenges of using Alternating Direction Implicit (ADI) methods for heat and moisture transport simulation. The simulation of complex details of building constructions imposes high demands on the numerical solution method. The article focuses on the Alternating Direction Implicit (ADI) method. We introduce the direct solution technique and a block variant of this method and combine it with different numerical strategies: an ADI time stepping procedure and an ADI preconditioned Krylov subspace method combined with an implicit Euler time integration. In order to check capability of the different numerical methods we design two representative examples: the drying of a brick wall and a thermal bridge simulation. The results give an indication about the applicability of the numerical methods to highly nonlinear problems combined with discontinuous material properties.
Source:	Bauphysik 35 (2013), No. 1
Page/s:	45-50
Language of Publication:	German

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