کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4638480 1632006 2015 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Staggered-grid spectral element methods for elastic wave simulations
ترجمه فارسی عنوان
روشهای عنصر طیفی شبکه متشکل از شبکهای برای شبیه سازی موجهای الاستیک
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

In this paper, we develop and analyze a new class of spectral element methods for the simulations of elastic wave propagation. The major components of the method are the spatial discretization and the choice of interpolation nodes. The spatial discretization is based on piecewise polynomial approximation defined on staggered grids. The resulting method combines the advantages of both staggered-grid based methods and classical non-staggered-grid based spectral element methods. Our new method is energy conserving and does not require the use of any numerical flux, because of the staggered local continuity of the basis functions. Our new method also uses Radau points as interpolation nodes, and the resulting mass matrix is diagonal, thus time marching is explicit and is very efficient. Moreover, we give a rigorous proof for the optimal convergence of the method. In terms of dispersion, we present a numerical study for the numerical dispersion and show that this error is of very high order. Finally, some numerical convergence tests and applications to unbounded domain problems with perfectly matched layer are shown.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 285, September 2015, Pages 132–150
نویسندگان
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