کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8901300 | 1631735 | 2018 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Two dimensional Riemann problem for a 2â¯Ãâ¯2 system of hyperbolic conservation laws involving three constant states
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Zhang and Zheng (1990) conjectured on the structure of a solution for a two-dimensional Riemann problem for Euler equation. To resolve this illuminating conjecture, many researchers have studied the simplified 2â¯Ãâ¯2 systems. In this paper, 3-pieces Riemann problem for two-dimensional 2â¯Ãâ¯2 hyperbolic system is considered without the restriction that each jump of the initial data projects one planar elementary wave. We classify twelve topologically distinct solutions and construct analytical and numerical solutions. The computed numerical solutions clearly confirm the constructed analytic solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 321, 15 March 2018, Pages 49-62
Journal: Applied Mathematics and Computation - Volume 321, 15 March 2018, Pages 49-62
نویسندگان
Jinah Hwang, Myoungin Shin, Suyeon Shin, Woonjae Hwang,