We use a spherical coordinate system, [Math Processing Error]r, [Math Processing Error]θ, and [Math Processing Error]\unicodex03C6. Euler potentials are functions of all three coordinates in general. We search them at the source surface, [Math Processing Error]r=rss, so we take them as ...
We use a single fluid MHD model in spherical coordinates to simulate the interaction of the solar wind with the Hermean magnetosphere for six solar wind realistic configurations with different magnetic field orientations: Mercury–Sun, Sun–Mercury, aligned with the magnetic axis of Mercury (...
There is considerable interest in developing methods for calculation of the free energy of fluids and materials from molecular simulations. Two prominent strategies, density-of-states sampling and “metadynamics,” seek to achieve uniform sampling of states through judicious addition of biasing potentials....
The div in cartesian coordinates I am currently studying a section from \textit{Electricity and Magnetism} by Purcell, pages 81 and 82, and need some clarification on the following concept. Here’s what I understand so far: 1. The integral of a function $ \mathbf{F} $ over a surface ...
where ξ2(βγ) and ξ3(βγ) characterize the linear dependence of the temperature deviation on the local coordinates. Compared to Eq. (4.1), the temperature deviation takes on the role analogous to the displacement vector in the mechanical problem. The heat flux vector q¯i takes on the...
@matthewhoffman, regardless of whether the atmosphere data are on the same projection or not, adding x and y coordinates is the right thing to do in my opinion. But you are correct that we could presumably use the latitude and longitude fields to remap from, with no need to assume anythin...
Two new computer codes, which assume 1D conduction in cylindrical and spherical coordinates, accurately predict 1D heat-flux applied to cylindrical, spherical, and conical geometries. These two codes are online for use as a tool in evaluating heat transfer from Tunnel 9 data 展开 ...
These Python scripts use the TN01 diagnostic formula in Spherical coordinates, which is the Eq.38 of Takaya's paper published in 2001: The first two terms in Eq.38 are taken into account while computing on the horizontal direction. And assuming the wave is stationary ,so the Cu in Eq....
However, there is currently no experimental technique developed for quantifying horizontal fluxes with commercially available hemispherical PAR sensors as used in this study and it could thus be interesting to investigate the bias of the four-flux fAPAR estimate with spherical PAR sensors, as applied ...
In generating the images, we rotated our azimuthal coordinates clockwise by 150∘150∘ from the ipole default to align the region of highest synchrotron emissivity with the observer at 𝜙cam=0ϕcam=0, following the conventions of the toy model described in Section 2. Over the course ...