Performance Maps: A Simple Way to Verify the Correctness of Explicit Integration Algorithms with Automatic Substepping

Lloret-Cabot, M. , Sloan, S. W., Sheng, D. and Abbo, A. J. (2017) Performance Maps: A Simple Way to Verify the Correctness of Explicit Integration Algorithms with Automatic Substepping. In: 15th International Conference of the International Association for Computer Methods and Advances in Geomechanics (IACMAG 2017), Wuhan, China, 19-23 Oct 2017,

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Based on the known order of local accuracy of a numerical method, Lloret-Cabot, Sloan, Sheng and Abbo proposed a useful form of plotting the computational outcomes obtained from the integration of the stress-strain relations when using explicit substepping integration schemes. This new form of plotting the numerical results (performance maps) is useful for verification purposes in problems where an analytical solution is difficult to find. The applicability of the performance maps to check specific computational aspects during the numerical integration of the stress-strain constitutive relationships of a model is extended further in this paper for explicit substepping algorithms that automatically adjust the size of the integration step using an estimate of the local absolute error in the stresses and hardening parameter, in contrast to conventional substepping strategies that integrate the stress-strain relations using an estimate of the relative local error. The results show that the performance maps are also a useful tool for interpreting the error behaviour incurred by susbtepping algorithms that control the local absolute error.

Item Type:Conference Proceedings
Glasgow Author(s) Enlighten ID:Lloret-Cabot, Dr Marti
Authors: Lloret-Cabot, M., Sloan, S. W., Sheng, D., and Abbo, A. J.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
717661COUPLEDSimon WheelerEuropean Commission (EC)706712ENG - ENGINEERING INFRASTRUCTURE & ENVIR