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A new generalized domain decomposition strategy for the efficient parallel solution of the FDS-pressure equation

 

Berlin, den 1. November 2010

A world-wide used program for the simulation of fire-induced flows is the Fire Dynamics Simulator (FDS) which originally was developed for a purely serial execution on single-processor computing systems. Due to steadily increasing problem sizes and accuracy requirements as well as restrictions in storage capacity and computing power on single-processor systems, the efficient simulation of the considered fire scenarios can only be achieved on modern high-performance systems based on multi-processor architectures. The transition to those systems requires the elaborate parallelization of the underlying numerical methods which must guarantee the same result for a given problem as the corresponding serial execution.

Unfortunately, one fundamental serial solver of FDS, the pressure solver, only possesses a low degree of inherent parallelizm. Its current parallelization may cause additional numerical errors, casually leading to significant losses of accuracy or even numerical instabilities. In order to ensure that the parallelization errors are limited by the leading error of the numerical scheme such that second order convergence for the whole method can be achieved, optimized parallelization concepts must be designed.

With respect to these considerations both articles gives an overview of the current parallel pressure solver as well as the problems related to it and presents an alternative method, ScaRC, to overcome the existing complicacies. Part I explains the theory, concept and implementation of this new strategy, It illustrates the background theory as well as the including mathematical details. Part II describes a series of validation and verification tests to proof its correctness.

published in:

Kilian, S.; Münch, M.:
A new generalized domain decomposition strategy for the efficient parallel solution of the FDS-pressure equation, Part I: Theory, Concept and Implementation.

ZIB-Report ZR_09-19, June 2009, 30 p., ISSN 1438-0064, Zentrum für Informationstechnik Berlin, Takustrasse 7, 14195 Berlin

Münch, M.; Kilian, S.:
A new generalized domain decomposition strategy for the efficient parallel solution of the FDS-pressure equation, Part II: Verification and Validation.

ZIB-Report ZR_09-20, June 2010, 40 p., ISSN 1438-0064, Zentrum für Informationstechnik Berlin, Takustrasse 7, 14195 Berlin

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