An adaptive time integration strategy based on displacement history curvature

Lages, Eduardo Nobre; Silveira, Eduardo S. S.; Cintra, Diogo Tenório; Frery, Alejandro C.

doi:10.1002/nme.4421

Cited by 19 publications

(3 citation statements)

References 22 publications

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“…A four-wheel dolly system under an impulsive vertical force, as shown in Figure 11, is investigated in this subsection. Lages et al (2013) analyzed the response of the system using an adaptive time integration scheme. There are seven degrees-of-freedom in this system: five ( u 1 , …, u 5 ) are translational and two ( u 6 , u 7 ) are rotational.…”

Section: Numerical Examplesmentioning

confidence: 99%

A weak form temporal quadrature element formulation for linear structural dynamics

Qin

Zhong

2021

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PurposeVarious time integration methods and time finite element methods have been developed to obtain the responses of structural dynamic problems, but the accuracy and computational efficiency of them are sometimes not satisfactory. The purpose of this paper is to present a more accurate and efficient formulation on the basis of the weak form quadrature element method to solve linear structural dynamic problems.Design/methodology/approachA variational principle for linear structural dynamics, which is inspired by Noble's work, is proposed to develop the weak form temporal quadrature element formulation. With Lobatto quadrature rule and the differential quadrature analog, a system of linear equations is obtained to solve the responses at sampling time points simultaneously. Computation for multi-elements can be carried out by a time-marching technique, using the end point results of the last element as the initial conditions for the next.FindingsThe weak form temporal quadrature element formulation is conditionally stable. The relation between the normalized length of element and the suggested number of integration points in one element is given by a simple formula. Results show that the present formulation is much more accurate than other time integration methods and its dissipative property is also illustrated.Originality/valueThe weak form temporal quadrature element formulation provides a choice with high accuracy and efficiency for solution of linear structural dynamic problems.

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Section: Numerical Examplesmentioning

confidence: 99%

A weak form temporal quadrature element formulation for linear structural dynamics

Qin

Zhong

2021

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“…Explicit schemes of time integration are frequently employed and they usually demand a large number of time steps. An interesting approach to this problem is to control the time increment size trying to optimize the relationship between error and performance (Lages et al , 2013).…”

Section: Dem Approach: Summarymentioning

confidence: 99%

A parallel DEM approach with memory access optimization using HSFC

Cintra

Willmersdorf

Lyra

et al. 2016

Engineering Computations

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Purpose The purpose of this paper is to present a methodology for parallel simulation that employs the discrete element method (DEM) and improves the cache performance using Hilbert space filling curves (HSFC). Design/methodology/approach The methodology is well suited for large-scale engineering simulations and considers modelling restrictions due to memory limitations related to the problem size. An algorithm based on mapping indexes, which does not use excessive additional memory, is adopted to enable the contact search procedure for highly scattered domains. The parallel solution strategy uses the recursive coordinate bisection method in the dynamical load balancing procedure. The proposed memory access control aims to improve the data locality of a dynamic set of particles. The numerical simulations presented here contain up to 7.8 millions of particles, considering a visco-elastic model of contact and a rolling friction assumption. Findings A real landslide is adopted as reference to evaluate the numerical approach. Three-dimensional simulations are compared in terms of the deposition pattern of the Shum Wan Road landslide. The results show that the methodology permits the simulation of models with a good control of load balancing and memory access. The improvement in cache performance significantly reduces the processing time for large-scale models. Originality/value The proposed approach allows the application of DEM in several practical engineering problems of large scale. It also introduces the use of HSFC in the optimization of memory access for DEM simulations.

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“…In the literature, an adaptive time marching technique is usually referred to as a mechanism that iteratively proposes changes to the time‐step employed in the analysis in order to achieve a desired level of accuracy. In this sense, several works have been presented along the last decades, and several procedures are available nowadays (for a recent overview on the topic, the work of Rossi et al is referred). Adaptive time‐stepping is not the focus here.…”

Section: Introductionmentioning

confidence: 99%

A simple and effective single‐step time marching technique based on adaptive time integrators

Soares

2016

Numerical Meth Engineering

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Summary In this work, a novel time marching procedure is presented in which adaptive time integration parameters are locally computed, allowing different spatial and temporal distributions. As a consequence, a more versatile technique arises, enabling an enhanced performance. The main features of the proposed technique are: (1) it is simple; (2) it has guaranteed stability; (3) it is an efficient non‐iterative adaptive single‐step procedure; (4) it provides enhanced accuracy; (5) it enables advanced controllable algorithmic dissipation in the higher modes; (6) it is truly self‐starting; and (7) it is entirely automatic, requiring no input parameter from the user. The proposed technique is very complete, providing the main positive attributes that are requested from an effective time marching procedure. Numerical results are presented along the paper, illustrating the excellent performance of the method. Copyright © 2016 John Wiley & Sons, Ltd.

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An adaptive time integration strategy based on displacement history curvature

Cited by 19 publications

References 22 publications

A weak form temporal quadrature element formulation for linear structural dynamics

A weak form temporal quadrature element formulation for linear structural dynamics

A parallel DEM approach with memory access optimization using HSFC

A simple and effective single‐step time marching technique based on adaptive time integrators

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