no code implementations • 28 Dec 2021 • Muhammad I. Zafar, Jiequn Han, Xu-Hui Zhou, Heng Xiao
Partial differential equations (PDEs) play a dominant role in the mathematical modeling of many complex dynamical processes.
2 code implementations • 11 Mar 2021 • Xu-Hui Zhou, Jiequn Han, Heng Xiao
As such, the network can deal with any number of arbitrarily arranged grid points and thus is suitable for unstructured meshes in fluid simulations.
1 code implementation • 15 Nov 2019 • Zeng Yang, Jin-Long Wu, Heng Xiao
Recently, GANs have been used to emulate complex physical systems such as turbulent flows.
1 code implementation • 3 Oct 2019 • Heng Xiao, Jin-Long Wu, Sylvain Laizet, Lian Duan
However, a major obstacle in the development of data-driven turbulence models is the lack of training data.
Fluid Dynamics
no code implementations • 13 May 2019 • Jin-Long Wu, Karthik Kashinath, Adrian Albert, Dragos Chirila, Prabhat, Heng Xiao
In this work, we present a statistical constrained generative adversarial network by enforcing constraints of covariance from the training data, which results in an improved machine-learning-based emulator to capture the statistics of the training data generated by solving fully resolved PDEs.
no code implementations • 19 Aug 2018 • Jian-Xun Wang, Junji Huang, Lian Duan, Heng Xiao
This study demonstrates that the PIML approach is a computationally affordable technique for improving the accuracy of RANS-modeled Reynolds stresses for high-Mach-number turbulent flows when there is a lack of experiments and high-fidelity simulations.
BIG-bench Machine Learning Physics-informed machine learning
1 code implementation • 27 Jun 2018 • Heng Xiao, Paola Cinnella
In computational fluid dynamics simulations of industrial flows, models based on the Reynolds-averaged Navier--Stokes (RANS) equations are expected to play an important role in decades to come.
Fluid Dynamics Computational Physics
no code implementations • 2 Feb 2018 • Carlos Michelén Ströfer, Jinlong Wu, Heng Xiao, Eric Paterson
These methods are based on a physical understanding of the underlying behavior of the flow in the vicinity of the feature.
Fluid Dynamics
1 code implementation • 9 Jan 2018 • Jin-Long Wu, Heng Xiao, Eric Paterson
To this end, we present a comprehensive framework for augmenting turbulence models with physics-informed machine learning, illustrating a complete workflow from identification of input features to final prediction of mean velocities.
Fluid Dynamics 76F99
1 code implementation • 24 Jan 2017 • Jian-Xun Wang, Jin-Long Wu, Julia Ling, Gianluca Iaccarino, Heng Xiao
In this work, we introduce the procedures toward a complete PIML framework for predictive turbulence modeling, including learning Reynolds stress discrepancy function, predicting Reynolds stresses in different flows, and propagating to mean flow fields.
Fluid Dynamics
5 code implementations • 25 Oct 2015 • Rui Sun, Heng Xiao
In this work, current-induced sediment transport problems in a wide range of regimes are simulated, including 'flat bed in motion', `small dune', `vortex dune' and suspended transport.
Fluid Dynamics
3 code implementations • 29 Aug 2014 • Rui Sun, Heng Xiao
Moreover, we demonstrate that the overhead computational costs incurred by the proposed coarse-graining procedure are a small portion of the total costs in typical CFD-DEM simulations as long as the number of particles per cell is reasonably large, although admittedly the computational overhead of the coarse graining often exceeds that of the CFD solver.
Computational Physics Fluid Dynamics
2 code implementations • 29 Aug 2014 • Rui Sun, Heng Xiao
The numerical tests demonstrated that the proposed coarse graining procedure based on solving diffusion equations is theoretically sound, easy to implement and parallelize in general CFD solvers, and has improved mesh-convergence characteristics compared with existing coarse graining methods.
Computational Physics