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检索条件"机构=Program in Applied and Computational Mathematics Princeton University"
1254 条 记 录,以下是41-50 订阅
排序:
CORRESPONDENCE PRINCIPLE FOR TURBULENCE - APPLICATION TO THE CHICAGO EXPERIMENTS ON HIGH RAYLEIGH NUMBER BENARD CONVECTION
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PHYSICS OF FLUIDS A-FLUID DYNAMICS 1989年 第2期1卷 175-178页
作者: YAKHOT, V Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544
The correspondence principle postulated for the description of hydrodynamic turbulence [Phys. Rev. Lett. 57, 1722 (1986)] combined with the theory of thermal boundary layer [B. Castaing et al. (private communication)]...
来源: 评论
ON THE SCALING LAWS OF THERMAL TURBULENT CONVECTION
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PHYSICS OF FLUIDS A-FLUID DYNAMICS 1989年 第6期1卷 911-913页
作者: SHE, ZS Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544
A new dimensional analysis for high Rayleigh number thermal convection is proposed to give an alternative interpretation of the scaling laws observed recently by Castaing et al. [J. Fluid Mech. (in press)]. The key as...
来源: 评论
Discovering dense hydrogen solid at 1200K with deep variational free energy approach
arXiv
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arXiv 2025年
作者: Dong, Xinyang Xie, Hao Chen, Yixiao Liang, Wenshuo Zhang, Linfeng Wang, Lei Wang, Han Beijing National Laboratory for Condensed Matter Physics Institute of Physics Chinese Academy of Sciences Beijing100190 China AI for Science Institute Beijing100080 China Department of Astrophysics University of Zürich Winterthurerstrasse 190 Zürich8057 Switzerland Princeton University PrincetonNJ08544 United States DP Technology Beijing100080 China Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics Fenghao East Road 2 Beijing100094 China
We perform deep variational free energy calculations to investigate the dense hydrogen system at 1200 K and high pressures. In this computational framework, neural networks are used to model the free energy through th... 详细信息
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DEVIATIONS FROM THE CLASSICAL KOLMOGOROV THEORY OF THE INERTIAL RANGE OF HOMOGENEOUS TURBULENCE
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PHYSICS OF FLUIDS A-FLUID DYNAMICS 1989年 第2期1卷 289-293页
作者: YAKHOT, V SHE, ZS ORSZAG, SA Applied and Computational Mathematics Program Princeton University Princeton New Jersey 08544
Deviations from classical scaling behavior are shown to result in flattened energy and dissipation–fluctuation inertial‐range spectra in fully developed turbulence.
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THE OBSERVATION OF SINGULARITIES IN THE BOUNDARY OF PATCHES OF CONSTANT VORTICITY
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PHYSICS OF FLUIDS A-FLUID DYNAMICS 1989年 第7期1卷 1283-1285页
作者: BUTTKE, TF Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544
The equations of motion describing inviscid fluid flow are solved numerically in two dimensions for the case where the flow can be described by patches of constant vorticity. The case where the vorticity is described ...
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Can Shallow Neural Networks Beat the Curse of Dimensionality? A Mean Field Training Perspective
IEEE Transactions on Artificial Intelligence
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IEEE Transactions on Artificial Intelligence 2020年 第2期1卷 121-129页
作者: Wojtowytsch, Stephan Weinan, E. The Program of Applied and Computational Mathematics Princeton University Princeton 08544 NJ United States The Department of Mathematics The Program of Applied and Computational Mathematics Princeton University Princeton 08544 NJ United States
We prove that the gradient descent training of a two-layer neural network on empirical or population risk may not decrease population risk at an order faster than t−4/(d−2) under mean field scaling. The loss functiona... 详细信息
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NONOSCILLATORY SPECTRAL ELEMENT CHEBYSHEV METHOD FOR SHOCK-WAVE CALCULATIONS
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JOURNAL OF computational PHYSICS 1993年 第1期107卷 10-22页
作者: SIDILKOVER, D KARNIADAKIS, GE Department of Mechanical and Aerospace Engineering Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544
A new algorithm based on spectral element discretization and non-oscillatory ideas is developed for the solution of hyperbolic partial differential equations. A conservative formulation is proposed based on cell avera...
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HEAT-TRANSFER IN TURBULENT FLUIDS .1. PIPE-FLOW
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INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 1987年 第1期30卷 15-22页
作者: YAKHOT, V ORSZAG, SA YAKHOT, A Applied and Computational Mathematics Princeton University Princeton NJ 08544 U.S.A.
The expression for turbulent Prandtl number obtained from the renormalization group procedure is used to describe the process of heat transfer in turbulent pipe flow. The results are in a good agreement with experimen... 详细信息
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VORTEX STRUCTURE AND DYNAMICS IN TURBULENCE
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COMPUTER METHODS IN applied MECHANICS AND ENGINEERING 1990年 第1-3期80卷 173-183页
作者: SHE, ZS JACKSON, E ORSZAG, SA Applied and Computational Mathematics Princeton University Princeton NJ 08544 U.S.A.
The dynamics of vortex structures in turbulence have been investigated statistically in pseudospectral numerical simulations of moderate Reynolds number turbulence. Coherent features of vortex stretching dynamics, as ... 详细信息
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ANOMALOUS DIMENSIONS IN TURBULENCE
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MODERN PHYSICS LETTERS A 1991年 第11期6卷 1023-1043页
作者: MIGDAL, AA Physics Department and Program in Applied and Computational Mathematics Princeton University Princeton NJ 08544 USA
A time-independent field theoretical framework for turbulence is suggested, based upon a variational principle for a stationary solution of the Fokker-Planck equation. We obtain a functional equation for the effective...
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