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The Bayesian uncertainty quantification technique has become well established in turbulence modeling over the past few years. However, it is computationally expensive to construct a globally accurate surrogate model for Bayesian inference…

数据分析、统计与概率 · 物理学 2022-03-16 Fanzhi Zeng , Wei Zhang , Jinping Li , Tianxin Zhang , Chao Yan

Uncertainty quantification techniques such as the time-dependent generalized polynomial chaos (TD-gPC) use an adaptive orthogonal basis to better represent the stochastic part of the solution space (aka random function space) in time.…

数值分析 · 数学 2022-07-22 Hugo Esquivel , Arun Prakash , Guang Lin

Efficient sorting of target cells is crucial for advancing cellular research in biology and medical diagnostics. Inertial microfluidics, an emerging technology, offers a promising approach for label-free particle sorting with high…

流体动力学 · 物理学 2023-08-04 Sayan Karmakar , Md Safwan Mondal , Anish Pal , Sourav Sarkar

Uncertainty quantification in medical images has become an essential addition to segmentation models for practical application in the real world. Although there are valuable developments in accurate uncertainty quantification methods using…

图像与视频处理 · 电气工程与系统科学 2023-05-02 Christiaan G. A. Viviers , Amaan M. M. Valiuddin , Peter H. N. de With , Fons van der Sommen

Modeling atmospheric chemistry is computationally expensive and limits the widespread use of atmospheric chemical transport models. This computational cost arises from solving high-dimensional systems of stiff differential equations.…

计算物理 · 物理学 2024-01-12 Xiaokai Yang , Lin Guo , Zhonghua Zheng , Nicole Riemer , Christopher W. Tessum

Estimating the expectation of a real-valued function of a random variable from sample data is a critical aspect of statistical analysis, with far-reaching implications in various applications. Current methodologies typically assume…

Deep Learning research is advancing at a fantastic rate, and there is much to gain from transferring this knowledge to older fields like Computational Fluid Dynamics in practical engineering contexts. This work compares state-of-the-art…

计算物理 · 物理学 2020-10-01 Pierre Jacquier , Azzedine Abdedou , Vincent Delmas , Azzeddine Soulaimani

In industrial and environmental monitoring, achieving real-time and precise fluid flow measurement remains a critical challenge. This study applies linear quantization in FPGA-based soft sensors for fluid flow estimation, significantly…

机器学习 · 计算机科学 2025-10-28 Tianheng Ling , Julian Hoever , Chao Qian , Gregor Schiele

We propose an efficient surrogate modeling technique for uncertainty quantification. The method is based on a well-known dimension-adaptive collocation scheme. We improve the scheme by enhancing sparse polynomial surrogates with conformal…

计算工程、金融与科学 · 计算机科学 2020-05-20 Niklas Georg , Dimitrios Loukrezis , Ulrich Römer , Sebastian Schöps

The development of surrogate models to study uncertainties in hydrologic systems requires significant effort in the development of sampling strategies and forward model simulations. Furthermore, in applications where prediction time is…

计算物理 · 物理学 2023-01-19 Chen Chen , Clint Dawson , Eirik Valseth

We develop a weakly intrusive framework to simulate the propagation of uncertainty in solutions of generic hyperbolic partial differential equation systems on graph-connected domains with nodal coupling and boundary conditions. The method…

数值分析 · 数学 2022-04-14 Svetlana Tokareva , Anatoly Zlotnik , Vitaliy Gyrya

Proper quantification and propagation of uncertainties in computational simulations are of critical importance. This issue is especially challenging for CFD applications. A particular obstacle for uncertainty quantifications in CFD problems…

计算物理 · 物理学 2018-04-10 Jian-xun Wang , Christopher J. Roy , Heng Xiao

Deploying Lagrangian drifters that facilitate the state estimation of the underlying flow field within a future time interval is practically important. However, the uncertainty in estimating the flow field prevents using standard…

动力系统 · 数学 2024-02-16 Erik Bollt , Nan Chen , Stephen Wiggins

The quantification of uncertainties of computer simulations due to input parameter uncertainties is paramount to assess a model's credibility. For computationally expensive simulations, this is often feasible only via surrogate models that…

统计方法学 · 统计学 2021-08-30 Sascha Ranftl , Wolfgang von der Linden

In many fields of science, comprehensive and realistic computational models are available nowadays. Often, the respective numerical calculations call for the use of powerful supercomputers, and therefore only a limited number of cases can…

计算物理 · 物理学 2022-11-22 Ionut-Gabriel Farcas , Gabriele Merlo , Frank Jenko

Computational fluid dynamics (CFD) simulations play an important role in engineering science and applications, however, it is not applicable for problems requiring a large number of repeated calculations. Accordingly, many reduced-order…

流体动力学 · 物理学 2026-05-28 Shan Ding , Yongfu Tian , Rui Yang

Surrogate modeling is a powerful methodology in chemical process engineering, frequently employed to accelerate optimization tasks where traditional flowsheet simulators are computationally prohibitive. However, the state-of-the-art is…

计算工程、金融与科学 · 计算机科学 2025-09-30 Martin Bubel , Tobias Seidel , Michael Bortz

Statistical learning algorithms provide a generally-applicable framework to sidestep time-consuming experiments, or accurate physics-based modeling, but they introduce a further source of error on top of the intrinsic limitations of the…

化学物理 · 物理学 2024-05-17 Matthias Kellner , Michele Ceriotti

Uncertainty estimations are presented of the response of a multiscale in-stent restenosis model, as obtained by both non-intrusive and semi-intrusive uncertainty quantification. The in-stent restenosis model is a fully coupled multiscale…

统计计算 · 统计学 2021-11-11 Dongwei Ye , Anna Nikishova , Lourens Veen , Pavel Zun , Alfons G. Hoekstra

Solving flow through porous media is a crucial step in the topology optimisation of cold plates, a key component in modern thermal management. Traditional computational fluid dynamics (CFD) methods, while accurate, are often prohibitively…

流体动力学 · 物理学 2026-03-10 Jinhong Wang , Matei C. Ignuta-Ciuncanu , Ricardo F. Martinez-Botas , Teng Cao