On enhanced second-order explicit integration methods with controllable algorithmic dissipation and adjustable sub-step size for hyperbolic problems
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...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/168987 |
| _version_ | 1811678994339201024 |
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| author | Li, Jinze Li,Hua Lian, Yiwei Yu, Kaiping Zhao, Rui |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Li, Jinze Li,Hua Lian, Yiwei Yu, Kaiping Zhao, Rui |
| author_sort | Li, Jinze |
| collection | NTU |
| description | 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. |
| first_indexed | 2024-10-01T03:02:06Z |
| format | Journal Article |
| id | ntu-10356/168987 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:02:06Z |
| publishDate | 2023 |
| record_format | dspace |
| spelling | ntu-10356/1689872023-06-26T05:07:42Z On enhanced second-order explicit integration methods with controllable algorithmic dissipation and adjustable sub-step size for hyperbolic problems Li, Jinze Li,Hua Lian, Yiwei Yu, Kaiping Zhao, Rui School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Second-Order Accuracy Structural Dynamics 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. This work is supported by the National Natural Science Foundation of China (Grant Nos. 11372084 and 12102103) and the Fundamental Research Funds for the Central Universities (Grant No. HIT.NSRIF.2020014). The helpful and constructive comments from the referees have led to the improvement of this paper; the authors gratefully acknowledge this assistance. In addition, the first author acknowledges the financial support from the China Scholarship Council (Grant No. 202006120104). 2023-06-26T05:07:42Z 2023-06-26T05:07:42Z 2023 Journal Article 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 1758-8251 https://hdl.handle.net/10356/168987 10.1142/S1758825122501010 2-s2.0-85148742886 3 15 2250101 en International Journal of Applied Mechanics © 2023 World Scientific Publishing Europe Ltd. All rights reserved. |
| spellingShingle | Engineering::Mechanical engineering Second-Order Accuracy Structural Dynamics Li, Jinze Li,Hua Lian, Yiwei Yu, Kaiping Zhao, Rui On enhanced second-order explicit integration methods with controllable algorithmic dissipation and adjustable sub-step size for hyperbolic problems |
| title | On enhanced second-order explicit integration methods with controllable algorithmic dissipation and adjustable sub-step size for hyperbolic problems |
| title_full | On enhanced second-order explicit integration methods with controllable algorithmic dissipation and adjustable sub-step size for hyperbolic problems |
| title_fullStr | On enhanced second-order explicit integration methods with controllable algorithmic dissipation and adjustable sub-step size for hyperbolic problems |
| title_full_unstemmed | On enhanced second-order explicit integration methods with controllable algorithmic dissipation and adjustable sub-step size for hyperbolic problems |
| title_short | On enhanced second-order explicit integration methods with controllable algorithmic dissipation and adjustable sub-step size for hyperbolic problems |
| title_sort | on enhanced second order explicit integration methods with controllable algorithmic dissipation and adjustable sub step size for hyperbolic problems |
| topic | Engineering::Mechanical engineering Second-Order Accuracy Structural Dynamics |
| url | https://hdl.handle.net/10356/168987 |
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