Computational Efficiency of Parallel Unstructured Finite Element Simulations

Malte Neumann (), Ulrich Küttler (), Sunil Reddy Tiyyagura (), Wolfgang A. Wall () and Ekkehard Ramm ()
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Malte Neumann: University of Stuttgart, Institute of Structural Mechanics
Ulrich Küttler: Technical University of Munich, Computational Mechanics
Sunil Reddy Tiyyagura: High Performance Computing Center Stuttgart (HLRS)
Wolfgang A. Wall: Technical University of Munich, Computational Mechanics
Ekkehard Ramm: University of Stuttgart, Institute of Structural Mechanics

A chapter in High Performance Computing on Vector Systems, 2006, pp 89-107 from Springer

Abstract: Abstract In this paper we address various efficiency aspects of finite element (FE) simulations on vector computers. Especially for the numerical simulation of large scale Computational Fluid Dynamics (CFD) and Fluid-Structure Interaction (FSI) problems efficiency and robustness of the algorithms are two key requirements. In the first part of this paper a straightforward concept is described to increase the performance of the integration of finite elements in arbitrary, unstructured meshes by allowing for vectorization. In addition the effect of different programming languages and different array management techniques on the performance will be investigated. Besides the element calculation, the solution of the linear system of equations takes a considerable part of computation time. Using the jagged diagonal format (JAD) for the sparse matrix, the average vector length can be increased. Block oriented computation schemes lead to considerably less indirect addressing and at the same time packaging more instructions. Thus, the overall performance of the iterative solver can be improved. The last part discusses the input and output facility of parallel scientific software. Next to efficiency the crucial requirements for the IO subsystem in a parallel setting are scalability, flexibility and long term reliability.

Keywords: Computational Fluid Dynamics; Vector Length; Iterative Solver; Matrix Vector Multiplication; Innermost Loop (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/3-540-35074-8_7

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