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The rapid development of deep learning has significant implications for the advancement of Computational Fluid Dynamics (CFD). Currently, most pixel-grid-based deep learning methods for flow field prediction exhibit significantly reduced…

Fluid Dynamics · Physics 2024-04-11 Tianyu Li , Shufan Zou , Xinghua Chang , Laiping Zhang , Xiaogang Deng

Optimizing fluid-dynamic performance is an important engineering task. Traditionally, experts design shapes based on empirical estimations and verify them through expensive experiments. This costly process, both in terms of time and space,…

Computational Engineering, Finance, and Science · Computer Science 2020-01-24 Yang Chen

We study the applicability of a Deep Neural Network (DNN) approach to simulate one-dimensional non-relativistic fluid dynamics. Numerical fluid dynamical calculations are used to generate training data-sets corresponding to a broad range of…

Computational Physics · Physics 2021-06-08 Kirill Taradiy , Kai Zhou , Jan Steinheimer , Roman V. Poberezhnyuk , Volodymyr Vovchenko , Horst Stoecker

Flow estimation problems are ubiquitous in scientific imaging. Often, the underlying flows are subject to physical constraints that can be exploited in the flow estimation; for example, incompressible (divergence-free) flows are expected…

Machine Learning · Computer Science 2024-06-14 Miao Qi , Ramzi Idoughi , Wolfgang Heidrich

In this work we explore the advantages of end-to-end learning of multilayer maps offered by feed forward neural-networks (FFNN) for learning and predicting dynamics from transient fluid flow data.While machine learning in general depends on…

Computational Physics · Physics 2020-10-28 Shivakanth Chary Puligilla , Balaji Jayaraman

Hydrodynamic flood modeling improves hydrologic and hydraulic prediction of storm events. However, the computationally intensive numerical solutions required for high-resolution hydrodynamics have historically prevented their implementation…

Machine Learning · Computer Science 2023-07-06 Francisco Haces-Garcia , Natalya Maslennikova , Craig L Glennie , Hanadi S Rifai , Vedhus Hoskere , Nima Ekhtari

The high cost of high-resolution computational fluid/flame dynamics (CFD) has hindered its application in combustion related design, research and optimization. In this study, we propose a new framework for turbulent combustion simulation…

Fluid Dynamics · Physics 2020-03-03 Jian An , Hanyi Wang , Bing Liu , Kai Hong Luo , Fei Qin , Guo Qiang He

Motivated by oceanographic observational datasets, we propose a probabilistic neural network (PNN) model for calculating turbulent energy dissipation rates from vertical columns of velocity and density gradients in density stratified…

This work introduces a new framework integrating port-Hamiltonian systems (PHS) and neural network architectures. This framework bridges the gap between deterministic and stochastic modeling of complex dynamical systems. We introduce new…

Mathematical Physics · Physics 2025-09-09 Luca Di Persio , Matthias Ehrhardt , Youness Outaleb , Sofia Rizzotto

A simple nonholonomic dynamics model is developed as a low-order model for generating undulatory swim-like motions, validated through computational fluid dynamics (CFD) simulations. The rigid-body-dynamics model generates swimming motion by…

Fluid Dynamics · Physics 2025-11-27 Jamal Ardister , James Geddes , Brian F. Feeny , Junlin Yuan

Stormwater infrastructures are decentralized urban water-management systems that face highly unsteady hydraulic and pollutant loadings from episodic rainfall-runoff events. Accurately evaluating their in-situ treatment performance is…

Computational Engineering, Finance, and Science · Computer Science 2025-07-08 Mohamed Shatarah , Kai Liu , Haochen Li

Normalizing Flows (NF) are Generative models which transform a simple prior distribution into the desired target. They however require the design of an invertible mapping whose Jacobian determinant has to be computable. Recently introduced,…

Machine Learning · Computer Science 2025-09-18 Vincent Souveton , Arnaud Guillin , Jens Jasche , Guilhem Lavaux , Manon Michel

Active researches are currently being performed to incorporate the wealth of scientific knowledge into data-driven approaches (e.g., neural networks) in order to improve the latter's effectiveness. In this study, the Theory-guided Neural…

Machine Learning · Computer Science 2020-03-03 Nanzhe Wang , Dongxiao Zhang , Haibin Chang , Heng Li

Fluid prediction is a long-standing challenge due to the intrinsic high-dimensional non-linear dynamics. Previous methods usually utilize the non-linear modeling capability of deep models to directly estimate velocity fields for future…

Machine Learning · Computer Science 2024-06-10 Lanxiang Xing , Haixu Wu , Yuezhou Ma , Jianmin Wang , Mingsheng Long

Hydrodynamic theories effectively describe many-body systems out of equilibrium in terms of a few macroscopic parameters. However, such hydrodynamic parameters are difficult to derive from microscopics. Seldom is this challenge more…

Feed-forward neural networks (FNNs) work as standard building blocks in applying artificial intelligence (AI) to the physical world. They allow learning the dynamics of unknown physical systems (e.g., biological and chemical) {to predict…

Machine Learning · Computer Science 2022-06-23 Yu Wang , Qitong Gao , Miroslav Pajic

We investigate uncertainty estimation and multimodality via the non-deterministic predictions of Bayesian neural networks (BNNs) in fluid simulations. To this end, we deploy BNNs in three challenging experimental test-cases of increasing…

Fluid Dynamics · Physics 2022-05-04 Maximilian Mueller , Robin Greif , Frank Jenko , Nils Thuerey

Humans have a remarkable capacity to understand the physical dynamics of objects in their environment, flexibly capturing complex structures and interactions at multiple levels of detail. Inspired by this ability, we propose a hierarchical…

Artificial Intelligence · Computer Science 2018-10-30 Damian Mrowca , Chengxu Zhuang , Elias Wang , Nick Haber , Li Fei-Fei , Joshua B. Tenenbaum , Daniel L. K. Yamins

Data-driven techniques have improved the accuracy of Reynolds-averaged Navier-Stokes (RANS) models in fluid dynamics. However, modeling separated flows remains challenging due to their complex physics and sensitivity to local conditions.…

Fluid Dynamics · Physics 2025-11-19 Ali Eidi , Tyler Buchanan , Letian Jiang , Richard P. Dwight

This paper introduces a framework for combining scientific knowledge of physics-based models with neural networks to advance scientific discovery. This framework, termed physics-guided neural networks (PGNN), leverages the output of…

Machine Learning · Computer Science 2021-09-29 Arka Daw , Anuj Karpatne , William Watkins , Jordan Read , Vipin Kumar