کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4967929 | 1449385 | 2017 | 65 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations](/preview/png/4967929.png)
چکیده انگلیسی
We construct a local Lax-Friedrichs type positivity-preserving flux for compressible Navier-Stokes equations, which can be easily extended to multiple dimensions for generic forms of equations of state, shear stress tensor and heat flux. With this positivity-preserving flux, any finite volume type schemes including discontinuous Galerkin (DG) schemes with strong stability preserving Runge-Kutta time discretizations satisfy a weak positivity property. With a simple and efficient positivity-preserving limiter, high order explicit Runge-Kutta DG schemes are rendered preserving the positivity of density and internal energy without losing local conservation or high order accuracy. Numerical tests suggest that the positivity-preserving flux and the positivity-preserving limiter do not induce excessive artificial viscosity, and the high order positivity-preserving DG schemes without other limiters can produce satisfying non-oscillatory solutions when the nonlinear diffusion in compressible Navier-Stokes equations is accurately resolved.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 328, 1 January 2017, Pages 301-343
Journal: Journal of Computational Physics - Volume 328, 1 January 2017, Pages 301-343
نویسندگان
Xiangxiong Zhang,