Improved explicit co-simulation methods incorporating relaxation techniques

Li, Pu; Yuan, Qi; Lu, Daixing; Meyer, Tobias; Schweizer, Bernhard

doi:10.1007/s00419-019-01597-y

Cited by 10 publications

(2 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We thus have (q+2) points to adjust a polynomial of degree at most q: an extrapolation process cannot be made, but the "best fitting" polynomial can be found for the CLS criterion (12). Please note that removing the constraint Ω CLS q−2 (t [1] ) = z [1] in (12) corresponds to the relaxation technique on the past refered to as "method 1" in (Li et al, 2020) in the particular case of q = 0. CLS mode, on step…”

Section: Estimated Outputsmentioning

confidence: 99%

F3ORNITS: A Flexible Variable Step Size Non-Iterative Co-simulation Method handling Subsystems with Hybrid Advanced Capabilities

Yohan¹,

Lacabanne²,

Tromeur-Dervout³

2021

Preprint

View full text Add to dashboard Cite

This paper introduces the F 3 ORNITS non-iterative co-simulation algorithm in which F 3 stands for the 3 flexible aspects of the method: flexible polynomial order representation of coupling variables, flexible time-stepper applying variable co-simulation step size rules on subsystems allowing it and flexible scheduler orchestrating the meeting times among the subsystems and capable of asynchronousness when subsystems' constraints requires it. The motivation of the F 3 ORNITS method is to accept any kind of co-simulation model, including any kind of subsystem, regardless on their available capabilities. Indeed, one the major problems in industry is that the subsystems usually have constraints or lack of advanced capabilities making it impossible to implement most of the advanced co-simulation algorithms on them. The method makes it possible to preserve the dynamics of the coupling constraints when necessary as well as to avoid breaking C 1 smoothness at communication times, and also to adapt the co-simulation step size in a way that is robust both to zero-crossing variables (contrary to classical relative error-based criteria) and to jumps. Two test cases are presented to illustrate the robustness of the F 3 ORNITS method as well as its higher accuracy than the non-iterative Jacobi coupling algorithm (the most commonly used method in industry) for a smaller number of co-simulation steps.

show abstract

Section: Estimated Outputsmentioning

confidence: 99%

F3ORNITS: A Flexible Variable Step Size Non-Iterative Co-simulation Method handling Subsystems with Hybrid Advanced Capabilities

Yohan¹,

Lacabanne²,

Tromeur-Dervout³

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Jiang et al [15] investigated the effect of using multilayer orthogonal auxetic reinforcement in polyurethane foam matrix on the failure of composite panels, demonstrating extraordinary damping and large range of deformation performance. Li et al [16] combined auxetic materials as a reinforcing agent inside incompressible soft elements to create composites with enhanced indentation stiffness and impact resistance.…”

Section: Introductionmentioning

confidence: 99%