کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
519416 | 867664 | 2010 | 27 صفحه PDF | دانلود رایگان |
This paper collects the efforts done in our previous works [7], [9] and [10] to build a robust multiscale kinetic–fluid solver. Our scope is to efficiently solve fluid dynamic problems which present non-equilibrium localized regions that can move, merge, appear or disappear in time. The main ingredients of the present work are the followings ones: a fluid model is solved in the whole domain together with a localized kinetic upscaling term that corrects the fluid model wherever it is necessary; this multiscale description of the flow is obtained by using a micro–macro decomposition of the distribution function [9]; the dynamic transition between fluid and kinetic descriptions is obtained by using a time and space dependent transition function; to efficiently define the breakdown conditions of fluid models we propose a new criterion based on the distribution function itself. Several numerical examples are presented to validate the method and measure its computational efficiency.
Journal: Journal of Computational Physics - Volume 229, Issue 13, 1 July 2010, Pages 4907–4933