Exact(4)
New global straight field line coordinates are introduced for a toroidal plasma configuration.
The Hall ((sigma_{2})) to Pedersen ((sigma_{1})) ionospheric conductivity is calculated using a model along the magnetic meridian overhead the RESCO radar site, and the field line coordinates with a grid resolution of 1 km.
The diagram shows the temperature distribution along a vertical line (coordinates 80, 1 in the control volume space) of 20 km depth, at the center of the chamber (x = 60 and y = 60), i.e., between the surface (x, y, z coordinates 60, 60, 80) and the deepest part of the simulated volume (60, 60, 1).
"Everything in our line coordinates without being cookie-cutter".
Similar(56)
He and Hussein would do well to adopt a common line, coordinate their contacts with the Administration, and operate more discreetly.
In the code, the focused transport equation is expressed in a magnetic field line coordinate system, which is a non-orthogonal curvilinear coordinate system.
As a convenient coordinate system for this problem, a magnetic field line coordinate system (s, θ, ϕ) is defined, as shown in Fig. 1.
The magnetic field line coordinate system is identical to the spherical coordinate system when the solar rotation vanishes, i.e., when α=0.
As the magnetic field line coordinate system is a non-orthogonal curvilinear coordinate system, off-diagonal elements appear in the metric tensor, and the line element d l 2 of the coordinate system is described as dl^{2}=ds^{2}+rsinthetaright}+left(rsinthetaright)^{2}dphi^{2}-frac{2}{alpha}tan^{2}PhicosPhi ^{2}dphi^{2}-frac{2}{alpha}tan^{2}PhicosPhi
The solar wind velocity in the co-rotating frame of the Sun only has an s-component in the magnetic field line coordinate system, when is expressed as V_{s}=frac{V_{r}}{cosPhi}. (12).
The relationship between the magnetic field line coordinate system (s, θ, ϕ) and the spherical coordinate system (r, θ, φ) is expressed as begin{array}{*{20}l} s &=frac{r}{2}left[frac{1}{cosPhi}+frac{1}{sinPhi}ln left(tanPhi+fright]{cosPhi}right)right], end{array} (9) Fig. 1 Non-orthogonal curvilinear coordinate system (s, θ, ϕ) for describing the focused transport equation.
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