Advances in Natural and Applied Sciences, Volume (3), No (3), Year (2009-10) , Pages (424-431)

Title : ( A Novel Diagnostic Tool for Simulation Verification Using Invariant Criteria )

Authors: Yadollah Farzaneh , Alireza Akbarzadeh Tootoonchi ,

Citation: BibTeX | EndNote

Abstract

In order for numerical simulation to achieve its full potential as a predictive tool, scientist must have confidence that the simulation results are an accurate representation of reality. Therefore, it is essential to have available tools that can be used to verify simulation results. In this paper we will utilize invariance and conserved quantities of dynamical system as a diagnostic tool to verify the approximate solution produced by two commercial dynamical simulation package. Noether s theorem and conservation of energy are used as a potential tool to verify the approximate solution of dynamical systems. The novelty of this paper is the use of conservation of energy as a diagnostic tool, which we call energy check to verify the accuracy of the numerical solution. A double pendulum is simulated using two well known commercial software and the accuracy of the simulation is investigated by the proposed tool. It is shown the proposed diagnostic tool, energy check, can accurately predict the accuracy of the simulation package. To our knowledge this is the first instance where conservation of energy is used as a means to verify simulation results.

Keywords

, numerical simulation, accuracy, Noether s theorem, diagnostic tool, conservation of energy, verification
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@article{paperid:1015280,
author = {Farzaneh, Yadollah and Akbarzadeh Tootoonchi, Alireza},
title = {A Novel Diagnostic Tool for Simulation Verification Using Invariant Criteria},
journal = {Advances in Natural and Applied Sciences},
year = {2009},
volume = {3},
number = {3},
month = {October},
issn = {1995-0772},
pages = {424--431},
numpages = {7},
keywords = {numerical simulation; accuracy; Noether s theorem; diagnostic tool; conservation of energy; verification},
}

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%0 Journal Article
%T A Novel Diagnostic Tool for Simulation Verification Using Invariant Criteria
%A Farzaneh, Yadollah
%A Akbarzadeh Tootoonchi, Alireza
%J Advances in Natural and Applied Sciences
%@ 1995-0772
%D 2009

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