کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10356303 | 867686 | 2011 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms
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کلمات کلیدی
Essentially non-oscillatory schemePositivity preserving - حفظ مثبتHigh order accuracy - دقت سفارش بالاDiscontinuous Galerkin method - روش گالرکین ناپیوسته Weighted essentially non-oscillatory scheme - طرح اساسا غیر واگرا استFinite volume scheme - طرح حجم محدودHyperbolic conservation laws - قوانین حفاظت هیپربولیکGas dynamics - پویایی گاز
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms](/preview/png/10356303.png)
چکیده انگلیسی
In [16], [17], we constructed uniformly high order accurate discontinuous Galerkin (DG) schemes which preserve positivity of density and pressure for the Euler equations of compressible gas dynamics with the ideal gas equation of state. The technique also applies to high order accurate finite volume schemes. For the Euler equations with various source terms (e.g., gravity and chemical reactions), it is more difficult to design high order schemes which do not produce negative density or pressure. In this paper, we first show that our framework to construct positivity-preserving high order schemes in [16], [17] can also be applied to Euler equations with a general equation of state. Then we discuss an extension to Euler equations with source terms. Numerical tests of the third order Runge-Kutta DG (RKDG) method for Euler equations with different types of source terms are reported.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 230, Issue 4, 20 February 2011, Pages 1238-1248
Journal: Journal of Computational Physics - Volume 230, Issue 4, 20 February 2011, Pages 1238-1248
نویسندگان
Xiangxiong Zhang, Chi-Wang Shu,