A hybrid self-adjustable explicit–explicit–implicit time marching formulation for wave propagation analyses

In this paper, a novel hybrid explicit/implicit time marching procedure is proposed for wave propagation analyses. The new formulation considers local self-adjustable time integration parameters that are defined for each element of the adopted spatial discretization procedure, following the properti...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering Vol. 398; p. 115188
Main Author: Soares, Delfim
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.08.2022
Elsevier BV
Subjects:
Accuracy
Discretization
Explicit/implicit formulations
Frequency response
Hybrid analysis
Numerical dissipation
Parameters
Propagation
Self-adjustable time integrators
Stability
Stability analysis
Time integration
Time marching
Wave propagation
Hybrid analysis
Self-adjustable time integrators
Explicit/implicit formulations
Accuracy
Stability
Time integration
ISSN:0045-7825, 1879-2138
Online Access:Get full text
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Summary:In this paper, a novel hybrid explicit/implicit time marching procedure is proposed for wave propagation analyses. The new formulation considers local self-adjustable time integration parameters that are defined for each element of the adopted spatial discretization procedure, following the properties of the discretized model. Thus, the explicit/implicit subdomains of the analysis are established at an element level, taking into account automated computations. Two types of explicit approaches are considered here, allowing extended stability limits to be provided and more efficient analyses performed. Controllable numerical dissipation is also enabled following the locally defined adaptive time integrators of the method. In this sense, optimally designed time integration parameters are developed, providing null spectral radii for the highest sampling frequency of the elements, and close to one values for the important low-frequency response domain. Thus, the influence of spurious high-frequency modes is very effectively extinguished and reduced dissipative and dispersive errors are introduced into the analysis. At the end of the paper numerical results are provided, illustrating the excellent performance of the proposed new methodology. •A new hybrid explicit–explicit–implicit time-marching procedure is proposed.•The single-step technique is self-starting, entirely automated and self-adjustable.•The arrangement of its spectral radius is adaptive and locally optimally defined.•It stands as a stable single-solver procedure based on reduced systems of equations.•It provides enhanced efficiency, accuracy and enables advanced numerical dissipation.
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ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2022.115188