کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4964102 | 1447418 | 2017 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Numerical investigation of a viscous regularization of the Euler equations by entropy viscosity
ترجمه فارسی عنوان
بررسی عددی از تنظیم مقادیر چسبناک معادلات اویلر با ویسکوزیته آنتروپی
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کلمات کلیدی
ویسکوزیته آنتروپی، قوانین حفاظت، جریان فشرده، معادلات اویلر، عناصر محدود تثبیت غیرخطی،
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
The Navier-Stokes viscous fluxes are a well-known viscous regularization of the Euler equations. However, since these fluxes do not add any viscosity to the mass equation, the positivity of density is violated. This paper investigates a new class of viscous regularization of the Euler equations, which was recently proposed by Guermond & Popov (2014). In contrast to the Navier-Stokes fluxes, the new regularization adds a viscous term to the mass equation. Since non-physical viscous terms are used, it is important to show that the exact solution's properties, such as the location of shocks, contact and rarefaction waves are not violated. The present study concerns a careful numerical investigation of the new viscous regularization in a number of well-known 1D and 2D benchmark problems. Also, a direct numerical comparison with respect to the physical Navier-Stokes regularization is shown. The numerical tests show that the entropy viscosity method can achieve high order accuracy for any polynomial degrees. Detailed algorithms for the implementation of a slip wall boundary condition are presented in a weak and a strong form.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 317, 15 April 2017, Pages 128-152
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 317, 15 April 2017, Pages 128-152
نویسندگان
Murtazo Nazarov, Aurélien Larcher,