Neural-network based collision operators for the Boltzmann equation
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Publication:2083624
DOI10.1016/j.jcp.2022.111541OpenAlexW4292940405WikidataQ113871662 ScholiaQ113871662MaRDI QIDQ2083624
Stephen D. Bond, Nathan V. Roberts, Sean T. Miller, Eric C. Cyr
Publication date: 11 October 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111541
Basic methods in fluid mechanics (76Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Rarefied gas flows, Boltzmann equation in fluid mechanics (76Pxx)
Related Items (2)
Solving the Boltzmann Equation with a Neural Sparse Representation ⋮ RelaxNet: a structure-preserving neural network to approximate the Boltzmann collision operator
Uses Software
Cites Work
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- On the validity of the Boltzmann-BGK model through relaxation evaluation
- Molecular gas dynamics. Theory, techniques, and applications.
- Hidden physics models: machine learning of nonlinear partial differential equations
- A physics-informed operator regression framework for extracting data-driven continuum models
- Using neural networks to accelerate the solution of the Boltzmann equation
- Machine learning moment closure models for the radiative transfer equation. I: Directly learning a gradient based closure
- Thermodynamically consistent physics-informed neural networks for hyperbolic systems
- Physics-informed neural networks for high-speed flows
- Approximation of the Boltzmann collision operator based on Hermite spectral method
- A discontinuous Galerkin fast spectral method for the full Boltzmann equation with general collision kernels
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- Fast algorithms for computing the Boltzmann collision operator
- Multivariate Regression and Machine Learning with Sums of Separable Functions
- EMPIRE-PIC: A Performance Portable Unstructured Particle-in-Cell Code
- An efficient direct simulation Monte Carlo method for low Mach number noncontinuum gas flows based on the Bhatnagar–Gross–Krook model
- A Fast Spectral Method for the Boltzmann Collision Operator with General Collision Kernels
- Approximation by superpositions of a sigmoidal function
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