Transient Dynamical-Thermal-Optical System Modeling and Simulation

In this work, methods and procedures are investigated for the holistic simulation of the dynamicalthermal behavior of high-performance optics like lithography objectives. Flexible multibody systems in combination with model order reduction methods, finite element thermal analysis and optical system analyses are used for transient simulations of the dynamical-thermal behavior of optical systems at low computational cost.

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Learning stable reduced-order models for hybrid twins

Data-Centric Engineering ◽

10.1017/dce.2021.16 ◽

2021 ◽

Vol 2 ◽

Author(s):

Abel Sancarlos ◽

Morgan Cameron ◽

Jean-Marc Le Peuvedic ◽

Juliette Groulier ◽

Jean-Louis Duval ◽

...

Keyword(s):

Data Science ◽

Time Integration ◽

Computational Cost ◽

Main Idea ◽

Order Reduction ◽

Machine Learning Techniques ◽

Model Order ◽

New Approach ◽

Learning Techniques ◽

Low Computational Cost

Abstract The concept of “hybrid twin” (HT) has recently received a growing interest thanks to the availability of powerful machine learning techniques. This twin concept combines physics-based models within a model order reduction framework—to obtain real-time feedback rates—and data science. Thus, the main idea of the HT is to develop on-the-fly data-driven models to correct possible deviations between measurements and physics-based model predictions. This paper is focused on the computation of stable, fast, and accurate corrections in the HT framework. Furthermore, regarding the delicate and important problem of stability, a new approach is proposed, introducing several subvariants and guaranteeing a low computational cost as well as the achievement of a stable time-integration.

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Model Order Reduction in Computational Multiscale Fracture Mechanics

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.713.248 ◽

2016 ◽

Vol 713 ◽

pp. 248-253

Author(s):

M. Caicedo ◽

J. Oliver ◽

A.E. Huespe ◽

O. Lloberas-Valls

Keyword(s):

Model Order Reduction ◽

High Performance ◽

Computational Cost ◽

Order Reduction ◽

Cementitious Materials ◽

Reduced Model ◽

Computational Time ◽

Strong Discontinuity ◽

Model Order ◽

Reduction Techniques

Nowadays, the model order reduction techniques have become an intensive research eld because of the increasing interest in the computational modeling of complex phenomena in multi-physic problems, and its conse- quent increment in high-computing demanding processes; it is well known that the availability of high-performance computing capacity is, in most of cases limited, therefore, the model order reduction becomes a novelty tool to overcome this paradigm, that represents an immediately challenge in our research community. In computational multiscale modeling for instance, in order to study the interaction between components, a di erent numerical model has to be solved in each scale, this feature increases radically the computational cost. We present a reduced model based on a multi-scale framework for numerical modeling of the structural failure of heterogeneous quasi-brittle materials using the Strong Discontinuity Approach (CSD). The model is assessed by application to cementitious materials. The Proper Orthogonal Decomposition (POD) and the Reduced Order Integration Cubature are the pro- posed techniques to develop the reduced model, these two techniques work together to reduce both, the complexity and computational time of the high-delity model, in our case the FE2 standard model

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Discussion of “Dynamic Modeling and Projection-Based Reduction Methods for Bladed Disks With Nonlinear Frictional and Intermittent Contact Interfaces” (Mitra, M., Epureanu, B. I., 2018, ASME Appl. Mech. Rev., 71(5), p. 050803)

Applied Mechanics Reviews ◽

10.1115/1.4044933 ◽

2019 ◽

Vol 71 (5) ◽

Author(s):

Jörg Wallaschek ◽

Sebastian Willeke ◽

Lars Panning-von Scheidt

Keyword(s):

Model Order Reduction ◽

Degrees Of Freedom ◽

Turbine Blades ◽

Computational Cost ◽

Order Reduction ◽

Bladed Disks ◽

Model Order ◽

Advantages And Disadvantages ◽

Reduction Methods ◽

Intermittent Contact

Abstract Mitra and Epureanu have written a very good and complete overview on nonlinear vibrations of turbine blades. Nonlinearities due to friction and contact mechanics are the main focus. Questions related to modeling and model reduction are particularly addressed. This paper begins with an investigation of the vibration behavior of cyclic linear structures, in which a variety of considerations about the occurrence of standing and propagating waves play an important role. Subsequently, several methods of model-order reduction are presented, where cyclic sectors of tuned bladed disks are assumed. The classification of the linear vibration modes according to their nodal diameters (NDs) is explained in detail. Large models with a high number of degrees-of-freedom (DOF) occurring in the field of turbomachinery dynamics lead to very high computational cost. In this context, the authors consider model-order reduction with projection-based methods to be of particular interest. They give an overview of modern projection-based methods and compare them with regard to their respective advantages and disadvantages in the context of bladed disks with nonlinear friction and intermittent contact.

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Parametric state-time reduction for the transient analysis of multi-physical systems

10.14293/p2199-8442.1.sop-math.eyjdzw.v1 ◽

2018 ◽

Author(s):

Ward Rottiers ◽

Frank Naets ◽

Wim Desmet

Keyword(s):

Initial Conditions ◽

Computational Cost ◽

Order Reduction ◽

Model Parameters ◽

Temporal Dimension ◽

Time Model ◽

Model Order ◽

State Time ◽

Time Discretisation ◽

Transient Simulations

This research focusses on computational cost reduction of transient simulations in many-query applications with varying model parameters, initial conditions and parametrised excitations. The typical model reduction approach is limited to the reduction of the dimension of the states or spatial variables, whereas the state-time model order reduction (STMOR) approach reduces both the states and the temporal dimension concurrently. A major novelty in the investigated STMOR approach is that the reduction occurs after time discretisation on an algebraic system of equations (AE).

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THE NEW ALGORITHM OF SOLVING HARMONIC BALANCE EQUATIONS

CAD/EDA, MODELING AND SIMULATION IN MODERN ELECTRONICS: COLLECTION OF SCIENTIFIC PAPERS OF THE III INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ◽

10.30987/conferencearticle_5e0282123a4fa0.04742815 ◽

2019 ◽

Author(s):

Vladimir Lantsov ◽

A. Papulina

Keyword(s):

Harmonic Balance ◽

Model Order Reduction ◽

Order Reduction ◽

Balance Equations ◽

Model Order ◽

Cad Systems ◽

Computational Costs ◽

Reduction Methods ◽

Model Equations

The new algorithm of solving harmonic balance equations which used in electronic CAD systems is presented. The new algorithm is based on implementation to harmonic balance equations the ideas of model order reduction methods. This algorithm allows significantly reduce the size of memory for storing of model equations and reduce of computational costs.

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