Abstract
AbstractA novel explicit three-sub-step time integration method is proposed. From linear analysis, it is designed to have at least second-order accuracy, tunable stability interval, tunable algorithmic dissipation and no overshooting behaviour. A distinctive feature is that the size of its stability interval can be adjusted to control the properties of the method. With the largest stability interval, the new method has better amplitude accuracy and smaller dispersion error for wave propagation problems, compared with some existing second-order explicit methods, and as the stability interval narrows, it shows improved period accuracy and stronger algorithmic dissipation. By selecting an appropriate stability interval, the proposed method can achieve properties better than or close to existing second-order methods, and by increasing or reducing the stability interval, it can be used with higher efficiency or stronger dissipation. The new method is applied to solve some illustrative wave propagation examples, and its numerical performance is compared with those of several widely used explicit methods.
Funder
China Scholarship Council
Publisher
Springer Science and Business Media LLC
Reference45 articles.
1. Arnold, M., Brüls, O.: Convergence of the generalized-$$\alpha $$ scheme for constrained mechanical systems. Multibody Syst. Dyn. 18(2), 185–202 (2007)
2. Bashforth, F., Adams, J.C.: An attempt to test the theories of capillary action: by comparing the theoretical and measured forms of drops of fluid. University Press, USA (1883)
3. Bathe, K.J.: Finite element procedures. Prentice Hall (2006)
4. Bathe, K.J.: Conserving energy and momentum in nonlinear dynamics: a simple implicit time integration scheme. Computers Struct. 85(7–8), 437–445 (2007)
5. Bathe, K.J., Baig, M.M.I.: On a composite implicit time integration procedure for nonlinear dynamics. Computers Struct. 83(31–32), 2513–2524 (2005)
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献