کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
519372 | 867660 | 2010 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The influence of cell geometry on the Godunov scheme applied to the linear wave equation
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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: The influence of cell geometry on the Godunov scheme applied to the linear wave equation The influence of cell geometry on the Godunov scheme applied to the linear wave equation](/preview/png/519372.png)
چکیده انگلیسی
By studying the structure of the discrete kernel of the linear acoustic operator discretized with a Godunov scheme, we clearly explain why the behaviour of the Godunov scheme applied to the linear wave equation deeply depends on the space dimension and, especially, on the type of mesh. This approach allows us to explain why, in the periodic case, the Godunov scheme applied to the resolution of the compressible Euler or Navier–Stokes system is accurate at low Mach number when the mesh is triangular or tetrahedral and is not accurate when the mesh is a 2D (or 3D) cartesian mesh. This approach confirms also the fact that a Godunov scheme remains accurate when it is modified by simply centering the discretization of the pressure gradient.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 229, Issue 14, 20 July 2010, Pages 5315–5338
Journal: Journal of Computational Physics - Volume 229, Issue 14, 20 July 2010, Pages 5315–5338
نویسندگان
Stéphane Dellacherie, Pascal Omnes, Felix Rieper,