Oct 7, 2021 · We can derive the governing equations in the moment method by taking moments on both sides of the Boltzmann equation, which effectively reduces ...
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Feb 16, 2023 · This approach is motivated by the regularized moment method [5]. The Boltzmann–BGK equation, especially the invariance properties of the BGK ...
Oct 8, 2021 · We can derive the governing equations in the moment method by taking moments on both sides of the Boltzmann equation, which effectively reduces ...
Learning Invariance Preserving Moment Closure Model for ...
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The network-based method is first utilized to learn the moment closure relation for Boltzmann equation in [17], and the moment closure models which preserve ...
Learning Invariance Preserving Moment Closure Model for Boltzmann–BGK Equation ... moment method of arbitrary order for Boltzmann–BGK equation. SIAM J. Sci ...
Feb 16, 2023 · Learning Invariance Preserving Moment Closure Model for Boltzmann–BGK Equation ; Authors. Zhengyi Li,Bin Dong. ,Yanli Wang. Are you the author?
We introduce a hyperbolic closure for the Grad moment expansion of the Bhatnagar-Gross-Krook's (BGK) kinetic model using a neural network (NN) trained on BGK's ...
Nov 29, 2022 · turbulence, kinetic equations), solving PDEs in high dimensions. ▷ ML closure: ▷ Boltzmann BGK model: Han, Ma, Ma and E (2019), learn closure.
In this paper, we take a data-driven approach and apply machine learning to the moment closure problem for the radiative transfer equation in slab geometry.
Dong and Y.L. Wang. Learning invariance preserving moment closure model for Boltzmann-BGK equation. Communications in Mathematics and Statistics, 11, 59-101 ...