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		| Paper: | 
		The Marriage of Gas and Dust | 
	 
	
		| Volume: | 
		498, Numerical Modeling of Space Plasma Flows ASTRONUM-2014  | 
	 
	
		| Page: | 
		177 | 
	 
	
		| Authors: | 
		Price, D. J.; Laibe, G. | 
	 
	
	
		| Abstract: | 
		Dust-gas mixtures are the simplest example of a two fluid mixture. We show that when simulating such mixtures with particles or with particles coupled to grids a problem arises due to the need to resolve a very small length scale when the coupling is strong. Since this is occurs in the limit when the fluids are well coupled, we show how the dust-gas equations can be reformulated to describe a single fluid mixture. The equations are similar to the usual fluid equations supplemented by a diffusion equation for the dust-to-gas ratio or alternatively the dust fraction. This solves a number of numerical problems as well as making the physics clear. | 
	 
	
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