کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6931117 867663 2015 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Revisiting the method of characteristics via a convex hull algorithm
ترجمه فارسی عنوان
بازبینی روش ویژگی با استفاده از الگوریتم بدنه محدب
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
We revisit the method of characteristics for shock wave solutions to nonlinear hyperbolic problems and we propose a novel numerical algorithm-the convex hull algorithm (CHA)-which allows us to compute both entropy dissipative solutions (satisfying all entropy inequalities) and entropy conservative (or multi-valued) solutions. From the multi-valued solutions determined by the method of characteristics, our algorithm “extracts” the entropy dissipative solutions, even after the formation of shocks. It applies to both convex and non-convex flux/Hamiltonians. We demonstrate the relevance of the proposed method with a variety of numerical tests, including conservation laws in one or two spatial dimensions and problem arising in fluid dynamics.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 298, 1 October 2015, Pages 95-112
نویسندگان
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