کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6892209 1445351 2018 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Normal, high order discrete velocity models of the Boltzmann equation
ترجمه فارسی عنوان
عادی، مدل های سرعت گسسته مرتبه بالا معادله بولتزمن
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی
This paper aims at approximations of the collision operator in the Boltzmann equation. The developed framework guarantees the “normality” of the approximation, which means correct collision invariants, H-Theorem, and equilibrium solutions. It fits into the discrete velocity model framework, is given in such a way that it is understandable with undergraduate level mathematics and can be used to construct approximations with arbitrary high convergence orders. At last we give an example alongside a numerical verification. Here the convergence orders range up to 3 (2) and the time complexity is given by 3+12 (4+23) in 2 (3) dimensions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 75, Issue 2, 15 January 2018, Pages 503-519
نویسندگان
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