SpECTRE
v2022.09.02

Control error in the 3D Translation coordinate map. More...
#include <Translation.hpp>
Public Types  
using  options = tmpl::list<> 
Public Member Functions  
void  pup (PUP::er &) 
template<typename Metavariables , typename... TupleTags>  
DataVector  operator() (const Parallel::GlobalCache< Metavariables > &cache, const double time, const std::string &, const tuples::TaggedTuple< TupleTags... > &measurements) 
Static Public Attributes  
static constexpr Options::String  help 
Control error in the 3D Translation coordinate map.
Computes the error in how much the system has translated by using Eq. (42) from [97]. The equation is
\[ \left(0, \delta\vec{T}\right) = a\mathbf{q}\left(\mathbf{x}_B  \mathbf{c}_B  \mathbf{\delta q}\wedge\mathbf{c}_B  \frac{\delta a}{a}\mathbf{c}_B \right)\mathbf{q}^* \]
where object B is located on the positive xaxis, bold face letters are quaternions, vectors are promoted to quaternions as \( \mathbf{v} = (0, \vec{v}) \), \( \mathbf{q} \) is the quaternion from the Rotation map, \( a \) is the function \( a(t) \) from the CubicScale map, \( \mathbf{\delta q}\wedge\mathbf{c}_B \equiv (0, \delta\vec{q} \times \vec{c}_B) \), \( \delta\vec{q} \) is the Rotation control error, and \( \delta a\) is the Expansion control error.
Requirements:

staticconstexpr 