A seamless multiscale operator neural network for inferring bubble dynamics
- 21 October 2021
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
Abstract
Modelling multiscale systems from nanoscale to macroscale requires the use of atomistic and continuum methods and, correspondingly, different computer codes. Here, we develop a seamless method based on DeepONet, which is a composite deep neural network (a branch and a trunk network) for regressing operators. In particular, we consider bubble growth dynamics, and we model tiny bubbles of initial size from 100 nm to 10 in the atomistic regime. After an offline training based on data from both regimes, DeepONet can make accurate predictions of bubble growth on-the-fly (within a fraction of a second) across four orders of magnitude difference in spatial scales and two orders of magnitude in temporal scales. The framework of DeepONet is general and can be used for unifying physical models of different scales in diverse multiscale applications.Funding Information
- U.S. Department of Energy (DE-SC0019453)
This publication has 33 references indexed in Scilit:
- Multiscale materials modelling at the mesoscaleNature Materials, 2013
- VORO++: A three-dimensional Voronoi cell library in C++Chaos: An Interdisciplinary Journal of Nonlinear Science, 2009
- Direct Visual Observation of Thermal Capillary WavesScience, 2004
- Vapor-liquid coexistence in many-body dissipative particle dynamicsPhysical Review E, 2003
- Dissipative particle dynamics for interacting systemsThe Journal of Chemical Physics, 2001
- Dissipative particle dynamics: Bridging the gap between atomistic and mesoscopic simulationThe Journal of Chemical Physics, 1997
- Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systemsIEEE Transactions on Neural Networks, 1995
- Statistical Mechanics of Dissipative Particle DynamicsEurophysics Letters, 1995
- Simulating Microscopic Hydrodynamic Phenomena with Dissipative Particle DynamicsEurophysics Letters, 1992
- Bubble Dynamics and CavitationAnnual Review of Fluid Mechanics, 1977