258 citations · 1.3k across the 49 of their papers we have counts for
49 papers
Extended Eulerian SPH and its realization of FVM
Zhentong Wang, Chi Zhang, Oskar J. Haidn +2
Eulerian smoothed particle hydrodynamics (Eulerian SPH) is considered as a potential meshless alternative to a traditional Eulerian mesh-based method, i.e. finite volume method (FV…
Learning Lagrangian Fluid Mechanics with E()-Equivariant Graph Neural Networks
Artur P. Toshev, Gianluca Galletti, Johannes Brandstetter +2
We contribute to the vastly growing field of machine learning for engineering systems by demonstrating that equivariant graph neural networks have the potential to learn more accur…
A 2D hybrid method for interfacial transport of passive scalars
Yu Fan, Yujie Zhu, Xiaoliang Li +2
A hybrid Eulerian-Lagrangian method is proposed to simulate passive scalar transport on arbitrary shape interface. In this method, interface deformation is tracked by an Eulerian m…
E() Equivariant Graph Neural Networks for Particle-Based Fluid Mechanics
Artur P. Toshev, Gianluca Galletti, Johannes Brandstetter +2
We contribute to the vastly growing field of machine learning for engineering systems by demonstrating that equivariant graph neural networks have the potential to learn more accur…
On the Relationships between Graph Neural Networks for the Simulation of Physical Systems and Classical Numerical Methods
Artur P. Toshev, Ludger Paehler, Andrea Panizza +1
Recent developments in Machine Learning approaches for modelling physical systems have begun to mirror the past development of numerical methods in the computational sciences. In t…
An efficient and robust all-Mach consistent numerical scheme for simulation of compressible multi-component fluids including surface tension, cavitation, turbulence modeling and interface sharpening on compact stencils
Yu Jiao, Steffen J. Schmidt, Nikolaus A. Adams
We present an efficient, fully conservative numerical scheme valid in the entire range of highly to weakly compressible flows using a single-fluid four equation approach together w…