کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6929012 1449352 2018 42 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Time-stable overset grid method for hyperbolic problems using summation-by-parts operators
ترجمه فارسی عنوان
با استفاده از روش اپراتورهای خلاصه شده، روش شبکه غرق در زمان باقی مانده برای مشکلات هیدرولیکی
کلمات کلیدی
تفاوت محدود، جمع بندی توسط قطعات، مرتبه بالا، ثبات، شبکه همپوشانی درمان رابط
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
A provably time-stable method for solving hyperbolic partial differential equations arising in fluid dynamics on overset grids is presented in this paper. The method uses interface treatments based on the simultaneous approximation term (SAT) penalty method and derivative approximations that satisfy the summation-by-parts (SBP) property. Time-stability is proven using energy arguments in a norm that naturally relaxes to the standard diagonal norm when the overlap reduces to a traditional multiblock arrangement. The proposed overset interface closures are time-stable for arbitrary overlap arrangements. The information between grids is transferred using Lagrangian interpolation applied to the incoming characteristics, although other interpolation schemes could also be used. The conservation properties of the method are analyzed. Several one-, two-, and three-dimensional, linear and non-linear numerical examples are presented to confirm the stability and accuracy of the method. A performance comparison between the proposed SAT-based interface treatment and the commonly-used approach of injecting the interpolated data onto each grid is performed to highlight the efficacy of the SAT method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 361, 15 May 2018, Pages 199-230
نویسندگان
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