کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
521145 867755 2006 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Improving Godunov-type reconstructions for simulation of vortex-dominated flows
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Improving Godunov-type reconstructions for simulation of vortex-dominated flows
چکیده انگلیسی

A systematic Fourier accuracy analysis is performed to examine the numerical diffusion inherent in a Godunov-type reconstruction, including both the reconstruction of the solution within each cell and the computation of the derivative terms of the reconstruction. It is found that compared with the more popular fifth-order polynomial fit of the interface values, a piecewise quadratic reconstruction of the solution with more accurate slope and curvature, especially those computed by compact difference schemes, is much less dissipative. Therefore, further given in the paper is a general framework to make a piecewise quadratic reconstruction free of numerical oscillations around the shocks. The improved accuracy and robustness of the resulting Godunov-type schemes for simulation of vortex-dominated flows are demonstrated with the numerical results of several carefully selected cases, including vortex convection and shock–vortex interaction.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 213, Issue 2, 10 April 2006, Pages 659–675
نویسندگان
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