• Home
  • Search
  • An efficient diffusion transformer-based method for reconstructing three-dimensional turbulent flows from two-dimensional observations
  • https://doi.org/10.1063/5.0256978Copy DOI Icon

An efficient diffusion transformer-based method for reconstructing three-dimensional turbulent flows from two-dimensional observations

Show More
  • Abstract
  • Literature Map
  • References
  • Similar Papers
Abstract

In the field of fluid mechanics, inferring high-dimensional data from low-dimensional observations enables the reconstruction of the high-dimensional flow field, allowing for a more comprehensive understanding of the flow, which is of great importance for analyzing flow mechanisms and optimizing aerodynamic designs. However, the lack of theoretical methodologies makes reconstructing three-dimensional (3D) flow fields a challenging task. To overcome this difficulty, a diffusion transformer-based method is proposed in this paper for reconstructing two-dimensional (2D) flow fields into 3D flow fields. The method introduces plane position embedding to enable reconstruction from arbitrary 2D planes, significantly enhancing flexibility. Furthermore, a local attention mechanism based on windows and planes is introduced to replace the vanilla global attention mechanism, improving computational efficiency by approximately 25%–40%. The developed method is applied to the reconstruction of several 3D turbulent flow fields both with and without objects. The results show that the diffusion transformer-based method in this paper exhibits high accuracy in flow field reconstruction for all numerical experiments compared to other methods such as U-Net and generative adversarial network-based approaches and achieves an average structural similarity index measure improvement of 20%, with normalized root mean square error improvements exceeding 50% in some test cases, and due to its lower resource consumption, the method demonstrates tremendous potential for reconstructing complex 3D fluid flows.

Similar Papers
  • Research Article
  • Citations40

3D flow field in a scour hole at a wing-wall abutment

  • Jan 01, 2006
  • Journal of Hydraulic Research
  • Subhasish Dey +1
  • Research Article
  • Citations1

Quasi Two-Dimensional Flow-Adaptive Algorithm for Pneumatic Probe Measurements

  • May 12, 2017
  • Journal of Dynamic Systems, Measurement, and Control
  • Christian Bartsch +3
  • Research Article
  • Citations20

Numerical study on the performance of a novel three-dimensional stepped wavy flow field in PEMFC

  • Oct 01, 2023
  • Energy Conversion and Management: X
  • Zhongmin Wan +5
  • Conference Article
  • Citations3

<title>Three-dimensional flow-field measurements in multistage turbomachinery using a computer-aided system</title>

  • Feb 13, 1997
  • Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE
  • Antoni Smolny +2
  • Research Article
  • Citations38

Improved normalization of time‐lapse seismic data using normalized root mean square repeatability data to improve automatic production and seismic history matching in the Nelson field

  • Mar 04, 2014
  • Geophysical Prospecting
  • Karl D Stephen +1
  • Research Article
  • Citations1

Bayesian based estimation of turbulent flow fields from lidar observations in a conventionally neutral atmospheric boundary layer

  • Sep 01, 2020
  • Journal of Physics: Conference Series
  • Pieter Bauweraerts +1
  • Research Article
  • Citations12

Simulation of turbulent flows in an impingement dryer by an extended κ– ε model

  • Nov 01, 2000
  • Computer Methods in Applied Mechanics and Engineering
  • J.R Quispe +2
  • Conference Article
  • Citations1

Extraction of Limit Streamlines in 2D Flow Field Using Virtual Boundary

  • Jan 01, 2009
  • Wenyao Zhang +1
  • Research Article
  • Citations37

A novel 3D fine-mesh flow field design and performance analysis for proton exchange membrane fuel cells

  • Sep 10, 2023
  • Journal of Power Sources
  • Feng Sun +3
  • Abstract
  • Citations1

Three-dimensional modelling of flow and reactive transport in heterogeneous porous media : M. A. Cushey, A. Bellin & Y. Rubin, in: Groundwater quality: remediation and protection. Proc. conference, Prague, 1995, ed K. Kovar & J. Krasny, (IAHS; Publication, 225), 1995, pp 257–261

  • Oct 01, 1995
  • International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts
  • Mark A Cushey +2
  • Research Article
  • Citations21

A Graph-Based Interface for Visual Analytics of 3D Streamlines and Pathlines.

  • Aug 01, 2014
  • IEEE Transactions on Visualization and Computer Graphics
  • Jun Ma +3
  • Research Article
  • Citations10

FlowVisual: A Visualization App for Teaching and Understanding 3D Flow Field Concepts

  • Feb 14, 2016
  • Electronic Imaging
  • Man Wang +4
  • Conference Article
  • Citations2

A measurement of 3D flow field induced by shock waves using interferometric CT method and numerical analysis

  • Mar 17, 2005
  • Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE
  • Masanori Ota +3
  • Research Article
  • Citations18

Pictures of blockscale transport: Effective versus ensemble dispersion and its uncertainty

  • Mar 10, 2016
  • Advances in Water Resources
  • Felipe P.J De Barros +1
  • Research Article
  • Citations9

Multiresolution streamline placement based on control grids

  • Jan 01, 2014
  • Integrated Computer-Aided Engineering
  • Wenyao Zhang +5
Cactus Communications logo

Copyright 2026 Cactus Communications. All rights reserved.