An asynchronous and parallel time-marching method: Application to three-dimensional MHD simulation of solar wind

2009 ◽  
Vol 52 (10) ◽  
pp. 2895-2902 ◽  
Author(s):  
Fang Shen ◽  
XueShang Feng ◽  
WenBin Song
1977 ◽  
Vol 99 (1) ◽  
pp. 53-62 ◽  
Author(s):  
Jean-Pierre Veuillot

The equations of the through flow are obtained by an asymptotic theory valid when the blade pitch is small. An iterative method determines the meridian stream function, the circulation, and the density. The various equations are discretized in an orthogonal mesh and solved by classical finite difference techniques. The calculation of the steady transonic blade-to-blade flow is achieved by a time marching method using the MacCormack scheme. The space discretization is obtained either by a finite difference approach or by a finite volume approach. Numerical applications are presented.


2020 ◽  
Vol 500 (4) ◽  
pp. 4779-4787
Author(s):  
Takuma Matsumoto

ABSTRACT Identifying the heating mechanisms of the solar corona and the driving mechanisms of solar wind are key challenges in understanding solar physics. A full three-dimensional compressible magnetohydrodynamic (MHD) simulation was conducted to distinguish between the heating mechanisms in the fast solar wind above the open field region. Our simulation describes the evolution of the Alfvénic waves, which includes the compressible effects from the photosphere to the heliospheric distance s of 27 solar radii (R⊙). The hot corona and fast solar wind were reproduced simultaneously due to the dissipation of the Alfvén waves. The inclusion of the transition region and lower atmosphere enabled us to derive the solar mass-loss rate for the first time by performing a full three-dimensional compressible MHD simulation. The Alfvén turbulence was determined to be the dominant heating mechanism in the solar wind acceleration region (s > 1.3 R⊙), as suggested by previous solar wind models. In addition, shock formation and phase mixing are important below the lower transition region (s < 1.03 R⊙) as well.


2011 ◽  
Vol 94-96 ◽  
pp. 1476-1480
Author(s):  
Cai Hua Wang

Centrifugal compressors are power machineries used widely. Fully understanding of the complex three-dimensional flow field is very important to design higher pressure ratio, higher efficiency centrifugal compressor. In this paper, time marching method is adopted to solve the three-dimensional viscous N-S equations under the relative coordinate system. The internal flow field of the “full controllable vortex” high speed centrifugal impeller is analyzed and the medial velocity vector distribution and the development of the velocity of each section in the impeller are showed. From the figures, it can be seen that the “wake” phenomenon, such as Ecckart described, caused by the curvature, Coriolis force and the boundary layer is exist


1988 ◽  
Vol 93 (A9) ◽  
pp. 9568 ◽  
Author(s):  
Tatsuki Ogino ◽  
Raymond J. Walker ◽  
Maha Ashour-Abdalla

Author(s):  
JongSik Oh ◽  
KoonSup Oh

The numerical results of a CFD analysis for 5 impellers are presented and discussed to generate simple correlations for the slip factors and the aerodynamic exit blockages of centrifugal compressors. The purpose of the analysis and modeling is to supply an effective means of estimating both parameters used in the meanline performance prediction stage, only in the agile engineering sense. A finite volume time marching method was used in the analysis of three dimensional compressible turbulent flows. To generate one dimensional representative values from the three dimensional results, a mass-averaged concept was used on each impeller exit plane. The Wiesner’s slip factor was found to fail to predict accurate level of values and also the trend of variation, when the flow rate was changed, especially in case of backswept impellers. Aerodynamic blockage at the impeller exit was also found to vary with the flow rates, the blade exit angle and diffusion ratio. Some useful engineering models of both parameters were suggested to improve the current level of prediction for the impeller exit performance.


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