کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6931703 | 867703 | 2015 | 78 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A new velocity-vorticity formulation for direct numerical simulation of 3D transitional and turbulent flows
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Accuracy of velocity-vorticity (Vâ,Ïâ)-formulations over other formulations in solving Navier-Stokes equation has been established in recent times. However, the issue of non-satisfaction of solenoidality conditions on vorticity is not addressed in the literature which can possibly lead to non-physical solution. In this respect, here, we have developed and reported conservative rotational form of the (Vâ,Ïâ)-formulation which preserves the solenoidality condition on vorticity in a much simpler way compared to other formulations. Superiority of rotational form over the conventional Laplacian form of (Vâ,Ïâ)-formulation is also shown [by comparing the results for flows inside cubical lid driven cavity (LDC)]. For solving the 3D Navier-Stokes equation using a staggered grid, we use optimized compact schemes for (a) interpolation and (b) evaluation of first and second derivatives. As illustrations, we have solved problems of (i) flow inside a 3D lid driven cavity (LDC), whose solutions are compared with experimental results reported by Koseff and Street [19] and (ii) 3D transitional flow of an equilibrium zero pressure gradient (ZPG) boundary layer over a flat plate as demonstration of the effectiveness of the rotational form of (Vâ,Ïâ)-formulation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 284, 1 March 2015, Pages 230-260
Journal: Journal of Computational Physics - Volume 284, 1 March 2015, Pages 230-260
نویسندگان
Swagata Bhaumik, Tapan K. Sengupta,