Xcts::Tags::ShiftExcess< DataType, Dim, Frame > Struct Template Reference

The dynamic part ${\beta }_{\mathrm{e}\mathrm{x}\mathrm{c}\mathrm{e}\mathrm{s}\mathrm{s}}^i$ of the shift ${\beta }^i={\beta }_{\mathrm{b}\mathrm{a}\mathrm{c}\mathrm{k}\mathrm{g}\mathrm{r}\mathrm{o}\mathrm{u}\mathrm{n}\mathrm{d}}^i+{\beta }_{\mathrm{e}\mathrm{x}\mathrm{c}\mathrm{e}\mathrm{s}\mathrm{s}}^i$. More...

#include <Tags.hpp>

Public Types
using	type = tnsr::I< DataType, Dim, Frame >

Detailed Description

template<typename DataType, size_t Dim, typename Frame>
struct Xcts::Tags::ShiftExcess< DataType, Dim, Frame >

The dynamic part ${\beta }_{\mathrm{e}\mathrm{x}\mathrm{c}\mathrm{e}\mathrm{s}\mathrm{s}}^i$ of the shift ${\beta }^i={\beta }_{\mathrm{b}\mathrm{a}\mathrm{c}\mathrm{k}\mathrm{g}\mathrm{r}\mathrm{o}\mathrm{u}\mathrm{n}\mathrm{d}}^i+{\beta }_{\mathrm{e}\mathrm{x}\mathrm{c}\mathrm{e}\mathrm{s}\mathrm{s}}^i$.

We commonly split off the part of the shift that diverges at large coordinate distances (the "background" shift ${\beta }_{\mathrm{b}\mathrm{a}\mathrm{c}\mathrm{k}\mathrm{g}\mathrm{r}\mathrm{o}\mathrm{u}\mathrm{n}\mathrm{d}}^i$) and solve only for the remainder (the "excess" shift ${\beta }_{\mathrm{e}\mathrm{x}\mathrm{c}\mathrm{e}\mathrm{s}\mathrm{s}}^i$). For example, the background shift might be a uniform rotation ${\beta }_{\mathrm{b}\mathrm{a}\mathrm{c}\mathrm{k}\mathrm{g}\mathrm{r}\mathrm{o}\mathrm{u}\mathrm{n}\mathrm{d}}^i=(-\mathrm{\Omega }y,\mathrm{\Omega }x,0)$ with angular velocity $\mathrm{\Omega }$ around the z-axis, given here in Cartesian coordinates.

See also

Xcts::Tags::Background

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The documentation for this struct was generated from the following file:

• src/Elliptic/Systems/Xcts/Tags.hpp