کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
521306 867762 2010 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A multi-moment finite volume formulation for shallow water equations on unstructured mesh
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A multi-moment finite volume formulation for shallow water equations on unstructured mesh
چکیده انگلیسی

A novel and accurate finite volume method has been presented to solve the shallow water equations on unstructured grid in plane geometry. In addition to the volume integrated average (VIA moment) for each mesh cell, the point values (PV moment) defined on cell boundary are also treated as the model variables. The volume integrated average is updated via a finite volume formulation, and thus is numerically conserved, while the point value is computed by a point-wise Riemann solver. The cell-wise local interpolation reconstruction is built based on both the VIA and the PV moments, which results in a scheme of almost third order accuracy. Efforts have also been made to formulate the source term of the bottom topography in a way to balance the numerical flux function to satisfy the so-called C-property. The proposed numerical model is validated by numerical tests in comparison with other methods reported in the literature.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 229, Issue 12, 20 June 2010, Pages 4567–4590
نویسندگان
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