کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4639303 1632050 2013 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An adaptive wavelet viscosity method for systems of hyperbolic conservation laws
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
An adaptive wavelet viscosity method for systems of hyperbolic conservation laws
چکیده انگلیسی

For the Burgers equation as an example of a hyperbolic conservation law, we have considered in our previous paper Castaño Díez et al. (2008) [8] a weak formulation with a stabilization for handling discontinuities, commonly called a viscosity approach. Numerically, this was realized by locally introducing degrees of freedom around the discontinuities by means of an adaptive wavelet method in an a posteriori fashion.In the present paper, we apply this method to systems of conservation laws, specifically, Euler’s equations for gas dynamics. Moreover, as the viscosity stabilization produces some Gibbs phenomena, we discuss different post-processing techniques known from data and image processing together with a number of numerical comparisons.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 240, 1 March 2013, Pages 215–224
نویسندگان
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