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Physics simulations like computational fluid dynamics (CFD) are a computational bottleneck in computer-aided design (CAD) optimization processes. To overcome this bottleneck, one requires either an optimization framework that is highly…

Machine Learning · Computer Science 2024-08-29 Harsh Vardhan , David Hyde , Umesh Timalsina , Peter Volgyesi , Janos Sztipanovits

We introduce the concept of decision-focused surrogate modeling for solving computationally challenging nonlinear optimization problems in real-time settings. The proposed data-driven framework seeks to learn a simpler, e.g. convex,…

Optimization and Control · Mathematics 2023-12-27 Rishabh Gupta , Qi Zhang

Gaussian process regression is a popular Bayesian framework for surrogate modeling of expensive data sources. As part of a broader effort in scientific machine learning, many recent works have incorporated physical constraints or other a…

Machine Learning · Computer Science 2021-01-07 Laura Swiler , Mamikon Gulian , Ari Frankel , Cosmin Safta , John Jakeman

Surrogate models are often used to replace costly-to-evaluate complex coastal codes to achieve substantial computational savings. In many of those models, the hydrometeorological forcing conditions (inputs) or flood events (outputs) are…

Machine Learning · Statistics 2021-11-04 A. F. López-Lopera , D. Idier , J. Rohmer , F. Bachoc

Deep Gaussian processes (DGPs) are increasingly popular as predictive models in machine learning (ML) for their non-stationary flexibility and ability to cope with abrupt regime changes in training data. Here we explore DGPs as surrogates…

Methodology · Statistics 2021-08-27 Annie Sauer , Robert B. Gramacy , David Higdon

In an industrial group like Safran, numerical simulations of physical phenomena are integral to most design processes. At Safran's corporate research center, we enhance these processes by developing fast and reliable surrogate models for…

Numerical Analysis · Mathematics 2025-02-13 Fabien Casenave

Surrogate models provide compact relations between user-defined input parameters and output quantities of interest, enabling the efficient evaluation of complex parametric systems in many-query settings. Such capabilities are essential in a…

Numerical Analysis · Mathematics 2026-03-16 Matteo Giacomini , Pedro Díez

Data-driven surrogate models are widely used for applications such as design optimization and uncertainty quantification, where repeated evaluations of an expensive simulator are required. For most partial differential equation (PDE)…

Computational Physics · Physics 2019-10-18 Wei Xing , Robert M. Kirby , Shandian Zhe

Computational Fluid Dynamics (CFD) simulations are a very important tool for many industrial applications, such as aerodynamic optimization of engineering designs like cars shapes, airplanes parts etc. The output of such simulations, in…

Computer Vision and Pattern Recognition · Computer Science 2021-03-12 Theodoros Georgiou , Sebastian Schmitt , Thomas Bäck , Nan Pu , Wei Chen , Michael Lew

Driven by the advancement of GPUs and AI, the field of Computational Fluid Dynamics (CFD) is undergoing significant transformations. This paper bridges the gap between the machine learning and CFD communities by deconstructing…

Fluid Dynamics · Physics 2025-11-26 Neil Ashton , Johannes Brandstetter , Siddhartha Mishra

Emulating the mapping between quantities of interest and their control parameters using surrogate models finds widespread application in engineering design, including in numerical optimization and uncertainty quantification. Gaussian…

Computation · Statistics 2024-07-02 S. Ashwin Renganathan , Kade Carlson

Slurry transportation via pipelines is essential for global industries, offering efficiency and environmental benefits. Specifically, the precise calibration of physical parameters for transporting raw phosphate material to fertilizer…

Fluid Dynamics · Physics 2024-06-13 Marwane Elkarii , Radouan Boukharfane , Nabil El Moçayd

Process-based hydrologic models are invaluable tools for understanding the terrestrial water cycle and addressing modern water resources problems. However, many hydrologic models are computationally expensive and, depending on the…

Geophysics · Physics 2025-02-11 Timothy Dai , Kate Maher , Zach Perzan

Global sensitivity analysis of complex numerical simulators is often limited by the small number of model evaluations that can be afforded. In such settings, surrogate models built from a limited set of simulations can substantially reduce…

Machine Learning · Statistics 2026-01-21 Guerlain Lambert , Céline Helbert , Claire Lauvernet

Scalable surrogate models enable efficient emulation of computer models (or simulators), particularly when dealing with large ensembles of runs. While Gaussian process (GP) models are commonly employed for emulation, they face limitations…

Methodology · Statistics 2025-10-07 Grant Hutchings , Derek Bingham , Kellin Rumsey , Earl Lawrence

Reliable long-horizon prediction remains a challenge for data-driven CFD surrogates, because offline-trained models accumulate autoregressive errors and lose accuracy when operating conditions change. This work develops a divergence-aware…

Fluid Dynamics · Physics 2026-05-26 Xiangrui Zou , Zhuoqun Zhao , Guillermo Barragán , Soledad Le Clainche

Uncertainty Quantification (UQ) is receiving more and more attention for engineering applications in particular from robust optimization. Indeed, running a computer experiment only provides a limited knowledge in terms of uncertainty and…

The article reviews fluid flow models implemented in the leading CFD software tools and designed for simulation of multi-component and multi-phase flows, compressible flows, flows with heat transfer, cavitation and other phenomena. The…

Fluid Dynamics · Physics 2007-05-23 Alexey N. Kochevsky

The present study proposes a data-driven framework trained with high-fidelity simulation results to facilitate decision making for combustor designs. At its core is a surrogate model employing a machine-learning technique called kriging,…

Computational Engineering, Finance, and Science · Computer Science 2017-09-25 Shiang-Ting Yeh , Xingjian Wang , Chih-Li Sung , Simon Mak , Yu-Hung Chang , Liwei Zhang , C. F. Jeff Wu , Vigor Yang

Physical modeling of robotic system behavior is the foundation for controlling many robotic mechanisms to a satisfactory degree. Mechanisms are also typically designed in a way that good model accuracy can be achieved with relatively simple…

Machine Learning · Statistics 2019-07-01 Sebastian Riedel , Freek Stulp