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In this experience report, we apply deep active learning to the field of design optimization to reduce the number of computationally expensive numerical simulations. We are interested in optimizing the design of structural components, where…

Machine Learning · Computer Science 2024-03-21 Jens Decke , Christian Gruhl , Lukas Rauch , Bernhard Sick

Pin fins are imperative in the cooling of turbine blades. The designs of pin fins, therefore, have seen significant research in the past. With the developments in metal additive manufacturing, novel design approaches toward complex…

Fluid Dynamics · Physics 2023-01-31 Susheel Dharmadhikari , Reid A. Berdanier , Karen A. Thole , Amrita Basak

We propose a customized convolutional neural network based autoencoder called a hierarchical autoencoder, which allows us to extract nonlinear autoencoder modes of flow fields while preserving the contribution order of the latent vectors.…

Computational Physics · Physics 2021-01-25 Kai Fukami , Taichi Nakamura , Koji Fukagata

Considering the high computation cost produced in conventional computation fluid dynamic simulations, machine learning methods have been introduced to flow dynamic simulations in recent years. However, most of studies focus mainly on…

Fluid Dynamics · Physics 2020-10-13 M. Cheng , F. Fang , C. C. Pain , I. M. Navon

In this article, we present a new data-driven shape optimization approach for implicit hydrofoil morphing via a polynomial perturbation of parametric level set representation. Without introducing any change in topology, the hydrofoil…

Fluid Dynamics · Physics 2023-01-16 Wrik Mallik , Rajeev K. Jaiman , Jasmin Jelovica

In this paper, a novel mechanism-driven reinforcement learning framework is proposed for airfoil shape optimization. To validate the framework, a reward function is designed and analyzed, from which the equivalence between the maximizing…

Numerical Analysis · Mathematics 2024-05-28 Jingfeng Wang , Guanghui Hu

Inferring viscoelasticity parameters is a key challenge that often leads to non-unique solutions when fitting rheological data. In this context, we propose a machine learning approach that utilizes Bayesian optimization for parameter…

Soft Condensed Matter · Physics 2025-02-27 Isaac Y. Miranda-Valdez , Tero Mäkinen , Juha Koivisto , Mikko J. Alava

Causal structure learning has been a challenging task in the past decades and several mainstream approaches such as constraint- and score-based methods have been studied with theoretical guarantees. Recently, a new approach has transformed…

Machine Learning · Computer Science 2019-11-19 Ignavier Ng , Shengyu Zhu , Zhitang Chen , Zhuangyan Fang

The present contribution investigates shape optimisation problems for a class of semilinear elliptic variational inequalities with Neumann boundary conditions. Sensitivity estimates and material derivatives are firstly derived in an…

Optimization and Control · Mathematics 2016-09-16 Christian Heinemann , Kevin Sturm

Fluidic devices are crucial components in many industrial applications involving fluid mechanics. Computational design of a high-performance fluidic system faces multifaceted challenges regarding its geometric representation and physical…

Graphics · Computer Science 2022-09-27 Yifei Li , Tao Du , Sangeetha Grama Srinivasan , Kui Wu , Bo Zhu , Eftychios Sifakis , Wojciech Matusik

Shape optimization models with one or more shapes are considered in this chapter. Of particular interest for applications are problems in which where a so-called shape functional is constrained by a partial differential equation (PDE)…

Optimization and Control · Mathematics 2021-07-19 Caroline Geiersbach , Estefania Loayza-Romero , Kathrin Welker

Turbulence is characterised by chaotic dynamics and a high-dimensional state space, which make this phenomenon challenging to predict. However, turbulent flows are often characterised by coherent spatiotemporal structures, such as vortices…

Fluid Dynamics · Physics 2023-06-21 Nguyen Anh Khoa Doan , Alberto Racca , Luca Magri

This work considers sequential edge-promoting Bayesian experimental design for (discretized) linear inverse problems, exemplified by X-ray tomography. The process of computing a total variation type reconstruction of the absorption inside…

Methodology · Statistics 2021-04-02 Tapio Helin , Nuutti Hyvönen , Juha-Pekka Puska

Materials design can be cast as an optimization problem with the goal of achieving desired properties, by varying material composition, microstructure morphology, and processing conditions. Existence of both qualitative and quantitative…

Computational Physics · Physics 2019-07-08 Akshay Iyer , Yichi Zhang , Aditya Prasad , Siyu Tao , Yixing Wang , Linda Schadler , L Catherine Brinson , Wei Chen

Real-world applications of computational fluid dynamics often involve the evaluation of quantities of interest for several distinct geometries that define the computational domain or are embedded inside it. For example, design optimization…

Numerical Analysis · Mathematics 2023-08-08 Guglielmo Padula , Francesco Romor , Giovanni Stabile , Gianluigi Rozza

Estimating optical flows is one of the most interesting problems in computer vision, which estimates the essential information about pixel-wise displacements between two consecutive images. This work introduces an efficient dual…

Optimization and Control · Mathematics 2021-10-05 Hongpeng Sun , Xue-Cheng Tai , Jing Yuan

We consider shape and topology optimization for fluids which are governed by the Navier--Stokes equations. Shapes are modelled with the help of a phase field approach and the solid body is relaxed to be a porous medium. The phase field…

Optimization and Control · Mathematics 2015-04-27 Harald Garcke , Claudia Hecht , Michael Hinze , Christian Kahle , Kei Fong Lam

Airfoil aerodynamic optimization based on single-point design may lead to poor off-design behaviors. Multipoint optimization that considers the off-design flow conditions is usually applied to improve the robustness and expand the flight…

Fluid Dynamics · Physics 2022-09-21 Yunjia Yang , Runze Li , Yufei Zhang , Haixin Chen

Bayesian optimal experimental design (OED) seeks to conduct the most informative experiment under budget constraints to update the prior knowledge of a system to its posterior from the experimental data in a Bayesian framework. Such…

Machine Learning · Computer Science 2024-02-29 Rafael Orozco , Felix J. Herrmann , Peng Chen

We investigate a complex system involving multiple shapes to be optimized in a domain, taking into account geometric constraints on the shapes and uncertainty appearing in the physics. We connect the differential geometry of product shape…

Optimization and Control · Mathematics 2023-08-16 Caroline Geiersbach , Tim Suchan , Kathrin Welker
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