کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4633586 1340673 2008 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Conservation laws in curvilinear coordinates: A short proof of Vinokur’s Theorem using differential forms
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Conservation laws in curvilinear coordinates: A short proof of Vinokur’s Theorem using differential forms
چکیده انگلیسی

In computational fluid dynamics it is important to maintain strong conservation form in the equations of motion regardless of the coordinate system used. Vinokur’s Theorem says that conservation form can always be maintained. However, the proof is long and has non-obvious steps. In this note a short proof of Vinokur’s Theorem is given which is both simple and illuminating. It uses the theory of differential forms which may also be useful in other algorithmic constructions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 202, Issue 2, 15 August 2008, Pages 882–885
نویسندگان
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