Publication: Algorithmic Differentiation of Different Algorithms for the Same Problem: A Case Study
Introduction
Applications
Tools
Research Groups
Workshops
Publications
   List Publications
   Advanced Search
   Info
   Add Publications
My Account
About

Algorithmic Differentiation of Different Algorithms for the Same Problem: A Case Study

- Part of a collection -
 

Area
Computational Fluid Dynamics

Author(s)
C. H. Bischof , H. M. Bücker , A. Rasch , E. Slusanschi

Published in
Proceedings of the 18th European Simulation Multiconference, Magdeburg, Germany, June 13--16, 2004

Editor(s)
Graham Horton

Year
2004

Publisher
SCS Publishing House

Abstract
Large-scale numerical simulation is one of the basic blocks in computational science and engineering. Researchers in academia and industry rely on highly complex simulation codes that are able to simulate even the most complicated physical phenomena. Several approaches are possible in order to validate the results of a numerical simulation, such as examining the results obtained from different simulation packages. In addition one could analyze the impact of certain input parameters on the solution. Such sensitivities of the computed solution can be obtained by automatic differentiation, a technique for computing truncation error-free derivatives of functions given in the form of a computer program. For a standard flow problem, we examine the results obtained from the two simulation packages FLUENT and SEPRAN, and we compare the derivatives which are computed by automatic differentiation. We show that, although the two packages employ fundamentally different algorithms, the results obtained, i.e., the velocity fields and their respective sensitivities, are comparable.

AD Tools
ADIFOR

AD Theory and Techniques
General

BibTeX
@INPROCEEDINGS{
         Bischof2004ADo,
       author = "C. H. Bischof and H. M. B{\"u}cker and A. Rasch and E. Slusanschi",
       title = "Algorithmic Differentiation of Different Algorithms for the Same Problem: A Case
         Study",
       booktitle = "Proceedings of the 18th European Simulation Multiconference, Magdeburg, Germany,
         June~13--16, 2004",
       editor = "Graham Horton",
       publisher = "SCS Publishing House",
       pages = "57--62",
       address = "Erlangen",
       abstract = "Large-scale numerical simulation is one of the basic blocks in computational
         science and engineering. Researchers in academia and industry rely on highly complex simulation
         codes that are able to simulate even the most complicated physical phenomena. Several approaches are
         possible in order to validate the results of a numerical simulation, such as examining the results
         obtained from different simulation packages. In addition one could analyze the impact of certain
         input parameters on the solution. Such sensitivities of the computed solution can be obtained by
         automatic differentiation, a technique for computing truncation error-free derivatives of functions
         given in the form of a computer program. For a standard flow problem, we examine the results
         obtained from the two simulation packages FLUENT and SEPRAN, and we compare the derivatives which
         are computed by automatic differentiation. We show that, although the two packages employ
         fundamentally different algorithms, the results obtained, i.e., the velocity fields and their
         respective sensitivities, are comparable.",
       ad_area = "Computational Fluid Dynamics",
       ad_tools = "ADIFOR",
       ad_theotech = "General",
       year = "2004"
}


back
  

Contact:
autodiff.org
Username:
Password:
(lost password)