کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10357959 | 867925 | 2005 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A well-balanced positivity preserving “second-order” scheme for shallow water flows on unstructured meshes
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A well-balanced positivity preserving “second-order” scheme for shallow water flows on unstructured meshes A well-balanced positivity preserving “second-order” scheme for shallow water flows on unstructured meshes](/preview/png/10357959.png)
چکیده انگلیسی
We consider the solution of the Saint-Venant equations with topographic source terms on 2D unstructured meshes by a finite volume approach. We first present a stable and positivity preserving homogeneous solver issued from a kinetic representation of the hyperbolic conservation laws system. This water depth positivity property is important when dealing with wet-dry interfaces. Then, we introduce a local hydrostatic reconstruction that preserves the positivity properties of the homogeneous solver and leads to a well-balanced scheme satisfying the steady-state condition of still water. Finally, a formally second-order extension based on limited reconstructed values on both sides of each interface and on an enriched interpretation of the source terms satisfies the same properties and gives a noticeable accuracy improvement. Numerical examples on academic and real problems are presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 206, Issue 1, 10 June 2005, Pages 311-333
Journal: Journal of Computational Physics - Volume 206, Issue 1, 10 June 2005, Pages 311-333
نویسندگان
Emmanuel Audusse, Marie-Odile Bristeau,