Uniformly accurate machine learning-based hydrodynamic models for kinetic equations
نویسندگان
چکیده
منابع مشابه
Machine Learning Models for Housing Prices Forecasting using Registration Data
This article has been compiled to identify the best model of housing price forecasting using machine learning methods with maximum accuracy and minimum error. Five important machine learning algorithms are used to predict housing prices, including Nearest Neighbor Regression Algorithm (KNNR), Support Vector Regression Algorithm (SVR), Random Forest Regression Algorithm (RFR), Extreme Gradient B...
متن کاملUniformly accurate schemes for relaxation approximations to fluid dynamic equations
A relaxation system for the incompressible and compressible Euler and Navier-Stokes equations is considered. A numerical scheme working uniformly in the above limits is constructed using higher-order nonoscillatory upwind discretiaations and higher-order implicit-explicit t ime discretization. Numerical results are presented for several test cases. @ 2003 Elsevier Ltd. All rights reserved. Keyw...
متن کاملUniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations
Many transport equations, such as the neutron transport, radiative transfer, and transport equations for waves in random media, have a diiusive scaling that leads to the diiusion equations. In many physical applications, the scaling parameter (mean free path) may diier in several orders of magnitude from the rareeed regimes to the hydrodynamic (diiusive) regimes within one problem, and it is de...
متن کاملUniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations
In [F. Li, C.-W. Shu, Y.-T. Zhang, H. Zhao, Journal of Computational Physics 227 (2008) 81918208], we developed a fast sweeping method based on a hybrid local solver which is a combination of a discontinuous Galerkin (DG) finite element solver and a first order finite difference solver for Eikonal equations. The method has second order accuracy in the L norm and a very fast convergence speed, b...
متن کاملA hybrid method for hydrodynamic-kinetic flow - Part II - Coupling of hydrodynamic and kinetic models
In this work we present a non stationary domain decomposition algorithm for multiscale hydrodynamic-kinetic problems, in which the Knudsen number may span from equilibrium to highly rarefied regimes. Our approach is characterized by using the full Boltzmann equation for the kinetic regime, the Compressible Euler equations for equilibrium, with a buffer zone in which the BGK-ES equation is used ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2019
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.1909854116