Search Results for author: Heng Xiao

Found 13 papers, 9 papers with code

Frame invariance and scalability of neural operators for partial differential equations

no code implementations28 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.

Frame-independent vector-cloud neural network for nonlocal constitutive modeling on arbitrary grids

2 code implementations11 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.

Enforcing Deterministic Constraints on Generative Adversarial Networks for Emulating Physical Systems

1 code implementation15 Nov 2019 Zeng Yang, Jin-Long Wu, Heng Xiao

Recently, GANs have been used to emulate complex physical systems such as turbulent flows.

Flows Over Periodic Hills of Parameterized Geometries: A Dataset for Data-Driven Turbulence Modeling From Direct Simulations

1 code implementation3 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

Enforcing Statistical Constraints in Generative Adversarial Networks for Modeling Chaotic Dynamical Systems

no code implementations13 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.

Generative Adversarial Network

Prediction of Reynolds Stresses in High-Mach-Number Turbulent Boundary Layers using Physics-Informed Machine Learning

no code implementations19 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

Quantification of Model Uncertainty in RANS Simulations: A Review

1 code implementation27 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

Data-Driven, Physics-Based Feature Extraction from Fluid Flow Fields

no code implementations2 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

Physics-Informed Machine Learning Approach for Augmenting Turbulence Models: A Comprehensive Framework

1 code implementation9 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

A Comprehensive Physics-Informed Machine Learning Framework for Predictive Turbulence Modeling

1 code implementation24 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

CFD-DEM Simulations of Current-Induced Dune Formation and Morphological Evolution

5 code implementations25 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

Diffusion-Based Coarse Graining in Hybrid Continuum-Discrete Solvers: Applications in CFD-DEM

3 code implementations29 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

Diffusion-Based Coarse Graining in Hybrid Continuum-Discrete Solvers: Theoretical Formulation and A Priori Tests

2 code implementations29 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

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