کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10414628 896752 2005 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A Runge-Kutta discontinuous Galerkin method for the Euler equations
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
A Runge-Kutta discontinuous Galerkin method for the Euler equations
چکیده انگلیسی
This paper presents a Runge-Kutta discontinuous Galerkin (RKDG) method for the Euler equations of gas dynamics from the viewpoint of kinetic theory. Like the traditional gas-kinetic schemes, our proposed RKDG method does not need to use the characteristic decomposition or the Riemann solver in computing the numerical flux at the surface of the finite elements. The integral term containing the non-linear flux can be computed exactly at the microscopic level. A limiting procedure is carefully designed to suppress numerical oscillations. It is demonstrated by the numerical experiments that the proposed RKDG methods give higher resolution in solving problems with smooth solutions. Moreover, shock and contact discontinuities can be well captured by using the proposed methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Fluids - Volume 34, Issue 3, March 2005, Pages 375-398
نویسندگان
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