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Title: High-fidelity numerical simulation of the dynamic beam equation

Abstract

A high-fidelity finite difference approximation of the dynamic beam equation is derived. Different types of well-posed boundary conditions are analysed. The boundary closures are based on the summation-by-parts (SBP) framework and the boundary conditions are imposed using a penalty (SAT) technique, to guarantee linear stability. The resulting SBP–SAT approximation leads to fully explicit time integration. The accuracy and stability properties of the newly derived SBP–SAT approximations are demonstrated for both 1-D and 2-D problems.

Authors:
;
Publication Date:
OSTI Identifier:
22465618
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 286; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; ACCURACY; APPROXIMATIONS; BEAM DYNAMICS; BOUNDARY CONDITIONS; COMPUTERIZED SIMULATION; FINITE DIFFERENCE METHOD

Citation Formats

Mattsson, Ken, E-mail: ken.mattsson@it.uu.se, and Stiernström, Vidar. High-fidelity numerical simulation of the dynamic beam equation. United States: N. p., 2015. Web. doi:10.1016/J.JCP.2015.01.038.
Mattsson, Ken, E-mail: ken.mattsson@it.uu.se, & Stiernström, Vidar. High-fidelity numerical simulation of the dynamic beam equation. United States. doi:10.1016/J.JCP.2015.01.038.
Mattsson, Ken, E-mail: ken.mattsson@it.uu.se, and Stiernström, Vidar. Wed . "High-fidelity numerical simulation of the dynamic beam equation". United States. doi:10.1016/J.JCP.2015.01.038.
@article{osti_22465618,
title = {High-fidelity numerical simulation of the dynamic beam equation},
author = {Mattsson, Ken, E-mail: ken.mattsson@it.uu.se and Stiernström, Vidar},
abstractNote = {A high-fidelity finite difference approximation of the dynamic beam equation is derived. Different types of well-posed boundary conditions are analysed. The boundary closures are based on the summation-by-parts (SBP) framework and the boundary conditions are imposed using a penalty (SAT) technique, to guarantee linear stability. The resulting SBP–SAT approximation leads to fully explicit time integration. The accuracy and stability properties of the newly derived SBP–SAT approximations are demonstrated for both 1-D and 2-D problems.},
doi = {10.1016/J.JCP.2015.01.038},
journal = {Journal of Computational Physics},
number = ,
volume = 286,
place = {United States},
year = {Wed Apr 01 00:00:00 EDT 2015},
month = {Wed Apr 01 00:00:00 EDT 2015}
}