کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6933458 | 867595 | 2013 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Discontinuous Galerkin method for Krauseʼs consensus models and pressureless Euler 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: Discontinuous Galerkin method for Krauseʼs consensus models and pressureless Euler equations Discontinuous Galerkin method for Krauseʼs consensus models and pressureless Euler equations](/preview/png/6933458.png)
چکیده انگلیسی
In this paper, we apply discontinuous Galerkin (DG) methods to solve two model equations: Krauseʼs consensus models and pressureless Euler equations. These two models are used to describe the collisions of particles, and the distributions can be identified as density functions. If the particles are placed at a single point, then the density function turns out to be a δ-function and is difficult to be well approximated numerically. In this paper, we use DG method to approximate such a singularity and demonstrate the good performance of the scheme. Since the density functions are always positive, we apply a positivity-preserving limiter to them. Moreover, for pressureless Euler equations, the velocity satisfies the maximum principle. We also construct special limiters to fulfill this requirement.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 252, 1 November 2013, Pages 109-127
Journal: Journal of Computational Physics - Volume 252, 1 November 2013, Pages 109-127
نویسندگان
Yang Yang, Dongming Wei, Chi-Wang Shu,