596 citations · 807 across the 20 of their papers we have counts for
4 papers · 1 filter
A PDE-free, neural network-based eddy viscosity model coupled with RANS equations
Ruiying Xu, Xu-Hui Zhou, Jiequn Han +2
Most turbulence models used in Reynolds-averaged Navier-Stokes (RANS) simulations are partial differential equations (PDE) that describe the transport of turbulent quantities. Such…
An equivariant neural operator for developing nonlocal tensorial constitutive models
Jiequn Han, Xu-Hui Zhou, Heng Xiao
Developing robust constitutive models is a fundamental and longstanding problem for accelerating the simulation of complicated physics. Machine learning provides promising tools to…
Frame-independent vector-cloud neural network for nonlocal constitutive modeling on arbitrary grids
Xu-Hui Zhou, Jiequn Han, Heng Xiao
Constitutive models are widely used for modeling complex systems in science and engineering, where first-principle-based, well-resolved simulations are often prohibitively expensiv…
Learning nonlocal constitutive models with neural networks
Xu-Hui Zhou, Jiequn Han, Heng Xiao
Constitutive and closure models play important roles in computational mechanics and computational physics in general. Classical constitutive models for solid and fluid materials ar…