Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/168987
Title: On enhanced second-order explicit integration methods with controllable algorithmic dissipation and adjustable sub-step size for hyperbolic problems
Authors: Li, Jinze
Li,Hua
Lian, Yiwei
Yu, Kaiping
Zhao, Rui
Keywords: Engineering::Mechanical engineering
Issue Date: 2023
Source: Li, J., Li, H., Lian, Y., Yu, K. & Zhao, R. (2023). On enhanced second-order explicit integration methods with controllable algorithmic dissipation and adjustable sub-step size for hyperbolic problems. International Journal of Applied Mechanics, 15(3), 2250101-. https://dx.doi.org/10.1142/S1758825122501010
Journal: International Journal of Applied Mechanics 
Abstract: This paper constructs and analyzes a generalized composite two-sub-step explicit method to solve various dynamical problems effectively. Via the accuracy and dissipation analysis, the constructed explicit method is further developed into two novel members that achieve identical second-order accuracy, controllable algorithmic dissipation, and desired stability. Unlike all existing explicit schemes, the novel members employ two independent integration parameters (γ and ρb) to control numerical features. The parameter γ, denoting the splitting ratio of sub-step size, can determine the instant at which external loads are calculated, whereas another parameter ρb, denoting the spectral radius at the bifurcation point, can control numerical dissipation imposed. Independently adjusting the sub-step size is one significant advantage for solving dynamical problems triggered by discontinuous loads. This paper also provides two novel explicit members' single-parameter versions for inexperienced users. Besides, the novel explicit members achieve a smaller local truncation error in acceleration, thus enhancing the solution accuracy in displacement and velocity. Numerical examples are solved to validate the significant superiority of the novel members in the solution accuracy.
URI: https://hdl.handle.net/10356/168987
ISSN: 1758-8251
DOI: 10.1142/S1758825122501010
Schools: School of Mechanical and Aerospace Engineering 
Rights: © 2023 World Scientific Publishing Europe Ltd. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:MAE Journal Articles

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