Mach-Uniform Methods for Compressible Two-Phase Flow Problems
نویسنده
چکیده
Our aim in this project is to develop a Mach-uniform method for nearly compressible two-phase flow problems where the flow speed is much less than the speed of sound of the underlying fluid components. The accuracy and efficiency of the method under development should depend weakly on the Mach number in the full range from zero to supersonic values. Representative applications of this kind are such as the rising of gas bubbles in liquids, the falling of liquid drops in the air under gravitational force field, and bubbly flow in liquids, see [12, 15] for more examples. To get a quick impression of some of the difficulties that may occur when one attempts to extend a state-of-the-art compressible solver to a low speed flow scenario, we begin by considering the one-dimensional Euler equations of gas dynamics of the form
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