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Engineering with Computers
Published in: Engineering with Computers 3/2023

05-02-2022 | Original Article

A novel conjoined space–time formulation for explicit analyses of dynamic models

Author: Delfim Soares Jr.

Published in: Engineering with Computers | Issue 3/2023

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Abstract

In this paper, a novel explicit time-marching procedure is proposed, which adapts to the properties of the spatially discretized model. In this context, the time integrators of the method are locally defined, following the physical/geometrical features of the elements of the adopted spatial discretization, in a way that reduced dissipative and dispersive errors are provided, as well as extended stability limits are enabled. As it is discussed along this manuscript, the proposed novel conjoined space–time solution procedure is very simple to implement and to apply and it allows enhanced performances, providing better accuracy and more efficient analyses than standard time integration techniques. At the end of the paper, numerical results are presented, illustrating the versatility and effectiveness of the proposed new methodology.
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Metadata
Title
A novel conjoined space–time formulation for explicit analyses of dynamic models
Author
Delfim Soares Jr.
Publication date
05-02-2022
Publisher
Springer London
Published in
Engineering with Computers / Issue 3/2023
Print ISSN: 0177-0667
Electronic ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-021-01565-7

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