High-fidelity numerical simulation of the dynamic beam equation

Journal Article · Wed Apr 01 00:00:00 EDT 2015 · Journal of Computational Physics

DOI:https://doi.org/10.1016/J.JCP.2015.01.038· OSTI ID:22465618

Mattsson, Ken; Stiernström, Vidar

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.

• OSTI ID: 22465618
• Journal Information: Journal of Computational Physics, Vol. 286; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICAL METHODS AND COMPUTING
ACCURACY
APPROXIMATIONS
BEAM DYNAMICS
BOUNDARY CONDITIONS
COMPUTERIZED SIMULATION
FINITE DIFFERENCE METHOD