scholarly journals Three-dimensional stochastic modeling of radiation belts in adiabatic invariant coordinates

2014 ◽  
Vol 119 (9) ◽  
pp. 7615-7635 ◽  
Author(s):  
Liheng Zheng ◽  
Anthony A. Chan ◽  
Jay M. Albert ◽  
Scot R. Elkington ◽  
Josef Koller ◽  
...  
Keyword(s):  
Stochastic Modeling ◽  
Three Dimensional ◽  
Radiation Belts ◽  
Adiabatic Invariant

Three-Dimensional Stochastic Modeling Using Sonar Sensing for Undersea Robotics

1996 ◽  
pp. 47-69
Author(s):  
W. Kenneth Stewart
Keyword(s):  
Stochastic Modeling ◽  
Three Dimensional

Effects in the radiation belts caused by the second adiabatic invariant violation in the presence of dayside off-equatorial magnetic field minima

2003 ◽  
Vol 31 (5) ◽  
pp. 1223-1228 ◽  
Author(s):  
A.E Antonova ◽  
Yu.I Gubar' ◽  
A.P Kropotkin
Keyword(s):  
Magnetic Field ◽  
Radiation Belts ◽  
Adiabatic Invariant

Reconciling Juno and past mission datasets to improve large-scale models of radiation-belt electron and radio emission distributions at Jupiter

2021 ◽  
Author(s):  
Daniel Santos-Costa ◽  
Frederic Allegrini ◽  
Rob Wilson ◽  
Peter Kollmann ◽  
George Clark ◽  
...  
Keyword(s):  
Radio Emission ◽  
Large Scale ◽  
Three Dimensional ◽  
Planck Equation ◽  
Radiation Belts ◽  
Scale Model ◽  
Data Sets ◽  
Electron Radiation ◽  
Large Scale Model ◽  
Electron Distributions

<p>We present our latest model of electron radiation belts developed for a large region of Jupiter's magnetosphere (1-50 Rj). For the region inward of Io, electron distributions are computed from a computational code that solves the governing three-dimensional Fokker-Planck equation. This physics-based model accounts for different mechanisms to discuss the energy and spatial distributions of electrons for L values between 1 and 5. The model for the innermost magnetospheric region is expanded to the middle magnetosphere using an empirical approach. In this paper, we first show how our large-scale model of Jupiter's electron radiation belts agrees with data sets from past missions (Pioneer 10 and 11 GTT, Galileo EPD and EPI measurements). We then focus on our effort to combine Juno (JEDI, JADE Electron Ambient Background Counts) and Galileo EPD (> 1.5, 11.5 MeV) datasets to improve our model for both the region beyond Io and the inner edge of the Jovian electron radiation belts. Finally, simulations of Jupiter's synchrotron emission are presented to gauge the contribution of ultra-energetic electrons trapped beyond L ~ 3 at different latitudes to radio emission observed by Juno MWR.</p>

Blending Hierarchical Economic Decision Matrices (EDM) With FE and Stochastic Modeling: II — Detailing EDM

1996 ◽  
Author(s):  
J. N. Majerus ◽  
D. A. Tenney ◽  
M. L. Mimnagh ◽  
S. P. Lamphear ◽  
J. A. Jannone
Keyword(s):  
Boundary Conditions ◽  
Fatigue Fracture ◽  
Stochastic Modeling ◽  
Three Dimensional ◽  
Fe Analysis ◽  
Material Strength ◽  
Complete Reversal ◽  
D Model ◽  
Fine Tune ◽  
Maximum Stresses

Abstract The purpose of the Detailing EDM is to “fine-tune” a previously ameliorated design. First, in order to determine the best fillet radius for formability, forging simulations are conducted using commercial software. Once the fillet dimension is ascertained, the 3-D model is generated and maximum stresses determined for a trial force. Two different commercial programs were used to determine the three dimensional stresses. The only statistical quantities involve the loading (Gaussian distribution), the material “strength” in the Analytical Criteria for Failure (ACF), and possibly, the boundary conditions in the 3-D models. This paper considers the ACF to be the resistance to fatigue-fracture under complete reversal of loads at 5 × 108 cycles. The paper overviews three different methods of combining stochastic behaviour with FE analysis, and presents a methodology for using the interference-method with non-symmetrical distributions. The EDM are then presented for the three Product Criteria of forging — formability, Prime cost and 3-D reliability with respect to the selected ACF.

scholarly journals Random-walk-based stochastic modeling of three-dimensional fiber systems

2011 ◽  
Vol 83 (4) ◽  
Author(s):  
Hellen Altendorf ◽  
Dominique Jeulin
Keyword(s):  
Random Walk ◽  
Stochastic Modeling ◽  
Three Dimensional

Synchrotron emission images from three-dimensional modeling of the Jovian electron radiation belts

2001 ◽  
Vol 28 (6) ◽  
pp. 915-918 ◽  
Author(s):  
D. Santos-Costa ◽  
R. Sault ◽  
S. Bourdarie ◽  
D. Boscher ◽  
S. Bolton ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Radiation Belts ◽  
Synchrotron Emission ◽  
Electron Radiation ◽  
Three Dimensional Modeling ◽  
Dimensional Modeling

3D Stochastic Modeling of Columnar-to-Equiaxed Transition During the Solidification of Alloy 718

2014 ◽  
Author(s):  
Laurentiu Nastac ◽  
Daojie Zhang
Keyword(s):  
Stochastic Modeling ◽  
3D Model ◽  
Three Dimensional ◽  
Alloy 718 ◽  
Solute Redistribution ◽  
Cpu Time ◽  
Growth Anisotropy ◽  
Columnar To Equiaxed Transition ◽  
2D And 3D ◽  
Liquid And Solid Phases

An efficient three-dimensional (3D) stochastic model for simulating the evolution of dendritic crystals during the solidification of alloys was developed. The model includes time-dependent computations for temperature distribution, solute redistribution in the liquid and solid phases, curvature, and growth anisotropy. The 3D model can run on PCs with reasonable amount of RAM and CPU time and therefore no parallel computations are needed. 3D mesoscopic computations at the dendrite tip length scale were performed in this study to simulate the formation of the columnar-to-equiaxed transition in alloy 718. Comparisons between microstructure predictions obtained via 2D and 3D stochastic modeling are also presented.

scholarly journals Exploration of Gibbs-Laguerre Tessellations for Three-Dimensional Stochastic Modeling

2020 ◽  
Author(s):  
F. Seitl ◽  
L. Petrich ◽  
J. Staněk ◽  
C. E. Krill ◽  
V. Schmidt ◽  
...  
Keyword(s):  
Stochastic Modeling ◽  
Three Dimensional
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