Synergy between Multiphysics/Multiscale Modeling and Machine Learning

A special issue of Computation (ISSN 2079-3197). This special issue belongs to the section "Computational Engineering".

Deadline for manuscript submissions: 15 December 2024 | Viewed by 858

Special Issue Editor


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Guest Editor
Center for Research Royallieu, UTC, 60200 Compiegne, France
Interests: computational solid mechanics; computational structural mechanics; computational fluid mechanics; multi-scale and multi-physics problem; combined mechanics-probability

Special Issue Information

Dear Colleagues,

The proposed special issue aims to explore recent advancements in mechanics and applied mathematics within the dynamic research area of multi-scale modeling and computations applied to various domains, including solids, fluids, structures, systems, and multi-physics problems. A key objective of this thematic issue is to investigate the synergies between traditional multi-physics/multi-scale methodologies and model construction techniques utilizing machine learning algorithms. Drawing upon the expertise of computational mechanics specialists, this special issue endeavors to identify efficient reduced models developed with appropriate assumptions and kinematic constraints. Additionally, classical structural models are highlighted for their utility in constructing relevant multi-scale and multi-physics models. Concurrently, there is a burgeoning interest in leveraging Artificial Intelligence (AI) and statistical data analysis algorithms, including machine learning approaches, for mechanics modeling. How can these approaches be harmonized? Can they leverage each other's advancements? Can model construction proficiency be simplified to the application of AI algorithms?

Therefore, the special issue also welcomes submissions from the fields of aerospace engineering, civil engineering, mechanical engineering, materials science, and applied mathematics for the design and analysis of numerical algorithms.

Prof. Dr. Adnan Ibrahimbegovic
Guest Editor

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Keywords

  • heterogeneous materials
  • complex structures
  • multibody systems
  • machine learning
  • biomechanics
  • material and structure failures
  • adaptive modeling
  • mechanics of porous media
  • fluid-structure interaction
  • multi-phase flows
  • wave propagation
  • stochastic processes
  • uncertainty propagation

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Published Papers (1 paper)

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Research

24 pages, 5846 KiB  
Article
Enhanced Drag Force Estimation in Automotive Design: A Surrogate Model Leveraging Limited Full-Order Model Drag Data and Comprehensive Physical Field Integration
by Kalinja Naffer-Chevassier, Florian De Vuyst and Yohann Goardou
Computation 2024, 12(10), 207; https://doi.org/10.3390/computation12100207 - 16 Oct 2024
Viewed by 677
Abstract
In this paper, a novel surrogate model for shape-parametrized vehicle drag force prediction is proposed. It is assumed that only a limited dataset of high-fidelity CFD results is available, typically less than ten high-fidelity CFD solutions for different shape samples. The idea is [...] Read more.
In this paper, a novel surrogate model for shape-parametrized vehicle drag force prediction is proposed. It is assumed that only a limited dataset of high-fidelity CFD results is available, typically less than ten high-fidelity CFD solutions for different shape samples. The idea is to take advantage not only of the drag coefficients but also physical fields such as velocity, pressure, and kinetic energy evaluated on a cutting plane in the wake of the vehicle and perpendicular to the road. This additional “augmented” information provides a more accurate and robust prediction of the drag force compared to a standard surface response methodology. As a first step, an original reparametrization of the shape based on combination coefficients of shape principal components is proposed, leading to a low-dimensional representation of the shape space. The second step consists in determining principal components of the x-direction momentum flux through a cutting plane behind the car. The final step is to find the mapping between the reduced shape description and the momentum flux formula to achieve an accurate drag estimation. The resulting surrogate model is a space-parameter separated representation with shape principal component coefficients and spatial modes dedicated to drag-force evaluation. The algorithm can deal with shapes of variable mesh by using an optimal transport procedure that interpolates the fields on a shared reference mesh. The Machine Learning algorithm is challenged on a car concept with a three-dimensional shape design space. With only two well-chosen samples, the numerical algorithm is able to return a drag surrogate model with reasonable uniform error over the validation dataset. An incremental learning approach involving additional high-fidelity computations is also proposed. The leading algorithm is shown to improve the model accuracy. The study also shows the sensitivity of the results with respect to the initial experimental design. As feedback, we discuss and suggest what appear to be the correct choices of experimental designs for the best results. Full article
(This article belongs to the Special Issue Synergy between Multiphysics/Multiscale Modeling and Machine Learning)
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