کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6932546 | 867582 | 2014 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Multiwavelet troubled-cell indicator for discontinuity detection of discontinuous Galerkin schemes
ترجمه فارسی عنوان
شاخص تلفن همراه چند ضلعی برای تشخیص عدم وجود طرح های گارکین متوقف شده
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
In this paper, we introduce a new global troubled-cell indicator for the discontinuous Galerkin (DG) method in one- and two-dimensions. This is done by taking advantage of the global expression of the DG method and re-expanding it in terms of a multiwavelet basis, which is a sum of the global average and finer details on different levels. Examining the higher level difference coefficients acts as a troubled-cell indicator, thus avoiding unnecessary increased computational cost of a new expansion. In two-dimensions the multiwavelet decomposition uses combinations of scaling functions and multiwavelets in the x- and y-directions for improved troubled-cell indication. By using such a troubled-cell indicator, we are able to reduce the computational cost by avoiding limiting in smooth regions. We present numerical examples in one- and two-dimensions and compare our troubled-cell indicator to the subcell resolution technique of Harten (1989) [11] and the shock detector of Krivodonova et al. (2004) [18], which were previously investigated by Qiu and Shu (2005) [23].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 270, 1 August 2014, Pages 138-160
Journal: Journal of Computational Physics - Volume 270, 1 August 2014, Pages 138-160
نویسندگان
Mathea J. Vuik, Jennifer K. Ryan,