Bott’s Area-Preserving Flux-Form Advection Algorithm: Extension to Higher Orders and Additional Tests
Bott’s Area-Preserving Flux-Form Advection Algorithm: Extension to Higher Orders and Additional Tests
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Bott 的保面积通量型平流算法：扩展到更高阶和附加测试
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
Antonio Jose da Costa Sampaio
中科院分区：
文献类型：
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作者：
A. A. Costa;Antonio Jose da Costa Sampaio
摘要将Bott的时间向前、正定、面积保持的通量形式平流算法推广到高阶。新的算法版本用二维流场进行了测试：纯旋转流和纯变形流。结果表明，与五阶算法不同，对于3-6阶的格式，在所要求的精度和合理的计算量之间取得了平衡。结果还表明，改进的奇阶格式成功地避免了显着的相速误差，并提供了与次高的偶数阶格式非常接近的结果，但计算量较小。
Abstract Bott’s forward-in-time, positive-definite, area-preserving flux-form advection algorithm is extended to higher orders. The new algorithm versions are tested with two-dimensional flow fields: a purely rotational flow and a purely deformational flow. The results suggest that a balance between required accuracy and reasonable computational cost is obtained for schemes with orders of 3–6, with distinction to the fifth-order algorithm. It is also shown that modified odd-order schemes successfully avoid significant phase-speed errors and furnish results that are very close to that obtained with the next-higher even-order scheme but with a lower computational cost.