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		| Paper: | 
		Numerical Stellar Hydrodynamics and its Application to the Evolution of Galaxies | 
	 
	
		| Volume: | 
		453, Advances in Computational Astrophysics: Methods, Tools, and Outcome | 
	 
	
		| Page: | 
		409 | 
	 
	
		| Authors: | 
		Vorobyov, E. I.; Mitchell, N. L.; Hensler, G. | 
	 
	
	
		| Abstract: | 
		We present a numerical stellar hydrodynamics approach, an alternative to N-body 
 methods, for studying the dynamics of stellar systems and dark matter halos. The stellar 
 hydrodynamics equations (SHE) are derived by taking the three first moments of the collisionless 
 Boltzmann equation. The SHE relax the assumption of local thermodynamic equilibrium for the translational
 degrees of freedom of stars, which results in the anisotropic local pressure of stars described by 
 the velocity dispersion tensor. The equations of stellar hydrodynamics can be easily coupled with 
 those of classic hydrodynamics on the same grid stencil, as is currently being done with the 
 cdFlash code, a modified version of the FLASH code developed by the Alliance Center for 
 Astrophysical Thermonuclear Flashes. This coupling ensures considerable savings in computational 
 time compared to N-body methods. Moreover, SHE directly evolve observable quantities, which makes 
 this approach particularly useful for making predictions and comparisons with the upcoming GAIA 
 mission. | 
	 
	
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