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An Explicit Time Marching Technique With Solution-Adaptive Time Integration Parameters

Delfim Soares Jr.1
Structural Engineering Department, Federal University of Juiz de Fora, CEP 36036-330, Juiz deFora, MG, Brazil. Email: delfim.soares@ufjf.edu.br

Computer Modeling in Engineering & Sciences 2015, 107(3), 223-247. https://doi.org/10.3970/cmes.2015.107.223

Abstract

In this work, an explicit time marching procedure, with solution-adaptive time integration parameters, is introduced for the analysis of hyperbolic models. The proposed technique is conditionally-stable, second-order accurate and it has controllable algorithm dissipation, which locally adapts at each time step, according to the computed solution. Thus, spurious modes can be more effectively dissipated and accuracy is improved. Since this is an explicit time integration technique, the new procedure is very efficient, requiring no system of equations to be dealt with at each time-step. Moreover, the technique is simple and easy to implement, being based just on displacement-velocity relations, requiring no computation of accelerations. Numerical results are presented along the paper, illustrating the good performance of the new method, as well as its potentialities.

Keywords

Time integration methods, Explicit analysis, Adaptive parameters, Adaptive dissipation control, Stability, Accuracy

Cite This Article

Jr., D. S. (2015). An Explicit Time Marching Technique With Solution-Adaptive Time Integration Parameters. CMES-Computer Modeling in Engineering & Sciences, 107(3), 223–247.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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