Items related to hydrodynamic systems. More...
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Solutions  
Holds classes implementing common portions of solutions to various different (magneto)hydrodynamical systems.  
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Tags for hydrodynamic systems.  
Items related to hydrodynamic systems.

noexcept 
Computes the vector \(J^i\) in \(\dot{M} = \int J^i s_i d^2S\), representing the mass flux through a surface with normal \(s_i\).
Note that the integral is understood as a flatspace integral: all metric factors are included in \(J^i\). In particular, if the integral is done over a Strahlkorper, the StrahlkorperGr::euclidean_area_element
of the Strahlkorper should be used, and \(s_i\) is the normal oneform to the Strahlkorper normalized with the flat metric, \(s_is_j\delta^{ij}=1\).
The formula is \( J^i = \rho W \sqrt{\gamma}(\alpha v^i\beta^i)\), where \(\rho\) is the mass density, \(W\) is the Lorentz factor, \(v^i\) is the spatial velocity of the fluid, \(\gamma\) is the determinant of the 3metric \(\gamma_{ij}\), \(\alpha\) is the lapse, and \(\beta^i\) is the shift.

noexcept 
Computes the vector \(J^i\) in \(\dot{M} = \int J^i s_i d^2S\), representing the mass flux through a surface with normal \(s_i\).
Note that the integral is understood as a flatspace integral: all metric factors are included in \(J^i\). In particular, if the integral is done over a Strahlkorper, the StrahlkorperGr::euclidean_area_element
of the Strahlkorper should be used, and \(s_i\) is the normal oneform to the Strahlkorper normalized with the flat metric, \(s_is_j\delta^{ij}=1\).
The formula is \( J^i = \rho W \sqrt{\gamma}(\alpha v^i\beta^i)\), where \(\rho\) is the mass density, \(W\) is the Lorentz factor, \(v^i\) is the spatial velocity of the fluid, \(\gamma\) is the determinant of the 3metric \(\gamma_{ij}\), \(\alpha\) is the lapse, and \(\beta^i\) is the shift.