scholarly journals Dependence of the outer boundary condition on protoneutron star asteroseismology with gravitational-wave signatures

2019 ◽  
Vol 99 (12) ◽  
Author(s):  
Hajime Sotani ◽  
Takami Kuroda ◽  
Tomoya Takiwaki ◽  
Kei Kotake
2000 ◽  
Vol 537 (1) ◽  
pp. 236-244 ◽  
Author(s):  
Feng Yuan ◽  
Qiuhe Peng ◽  
Ju‐fu Lu ◽  
Jianmin Wang

1998 ◽  
Vol 80 (9) ◽  
pp. 1812-1815 ◽  
Author(s):  
A. M. Abrahams ◽  
L. Rezzolla ◽  
M. E. Rupright ◽  
A. Anderson ◽  
P. Anninos ◽  
...  

2010 ◽  
Author(s):  
L. G. Almeida ◽  
H. Rodrigues ◽  
D. Portes ◽  
S. B. Duarte ◽  
Marina Nielsen ◽  
...  

1974 ◽  
Vol 41 (1) ◽  
pp. 25-28 ◽  
Author(s):  
T. E. Unny ◽  
Norio Hayakawa

The boundary conditions of the boundary-layer problem between two parallel turbulent streams are investigated solving higher-order terms of the inner and outer boundary-layer expansion. It is shown that the assumption that the eddy viscosity is proportional to longitudinal distance x fails to yield the third boundary condition of the boundary-layer problem. In this paper this boundary condition has been derived based on the consideration that the eddy viscosity attains a constant value at large but finite distance. The result applies to compressible as well as incompressible flow.


2021 ◽  
Author(s):  
Yiqun Yu ◽  
Shengjun Su ◽  
Jinbin Cao ◽  
Michael Denton ◽  
Vania Jordanova

<p>Satellite surface charging often occurs in the inner magnetosphere from the pre-midnight to the dawn sector when electron fluxes of  hundreds of eV to tens of keV are largely enhanced. Inner magnetosphere ring current models can be used to simulate/predict the satellite surface charging environment, with their flux outer boundary conditions specified either based on observations or provided by other models, such as MHD models. In the latter approach, the flux spectrum at the outer boundary is usually assumed to follow a Kappa or Maxwellian distribution, which however often departs greatly from, or underestimates, the realistic distribution below tens of keV, the energy range that is crucial in the spacecraft surface charging anomaly. This study aims to optimize the electron flux boundary condition of the inner magnetosphere ring current model to achieve a better representation of the surface charging environment. The MHD-parameterized flux spectrum is combined with an empirical electron flux model that specifies the < 40 keV electron flux spectrum. New simulation results indicate that the surface charging environment, monitored by an integrated electron flux between 10<E<50 keV, is significantly enhanced by 1-2 orders of magnitude as opposed to the case in which Kappa/Maxwellian distribution is used at the outer boundary. The new results therefore show better agreement with Van Allen Probes measurements. The improved boundary condition also impacts the auroral precipitation, which may change the conductivity and circulated dynamics. </p>


2020 ◽  
Author(s):  
Hayley Allison ◽  
Yuri Shprits ◽  
Sarah Glauert ◽  
Richard Horne ◽  
Dedong Wang

<p><span>The Earth’s electron radiation belts are a dynamic environment and can change dramatically on short timescales. From Van Allen Probes observations, we see storm time drop-out events followed by a rapid recovery of the electron flux over a broad range of energies. Substorms can supply a seed population of new electrons to the radiation belt region, which are then energised by a number of processes, rebuilding the belts. </span>However, how the electron flux is replenished across energy space, and the sequence of events leading to flux enhancements, remains an open question. Here we use a 3-D radiation belt model to explore how the seed population is accelerated to 1 MeV on realistic timescales, comparing the output to Van Allen Probes observations. By using a low energy boundary condition derived by POES data we encompass the whole radiation belt region, employing an open outer boundary condition. This approach isolates the contribution of seed population changes and allows electron flux variations over a broad range of L* to be studied. Using the model, we explore the contribution of both local acceleration and radial diffusion and demonstrate that the timing and duration of these two processes, particularly in relation to one another, is important to determine how the radiation belt rebuilds.</p>


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