FINITE VOLUME SCHEMES ON CUBED SPHERE

机译：立方体球上的有限体积方案

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摘要

Some typical drawbacks are analyzed for numerical schemes used in environmental modeling. A new approach for constructing finite volume schemes on a cubed sphere is presented. A locally one-dimensional implicit scheme for the linear advection equation is developed and studied in detail.

机译：对于环境建模中使用的数字方案，分析了一些典型的缺点。提出了一种在立方球体上构造有限体积方案的新方法。开发并详细研究了线性对流方程的局部一维隐式格式。

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来源
《Air, Water and Soil Quality Modelling for Risk and Impact Assessment; NATO Security Through Science Series C: Environmental Security》|2005年|303-314|共12页
会议地点 Tabakhmela(Tbillsi)GA(US)
作者
RAMAZ BOTCHORISHVILI;
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作者单位

Institute of Mechanics and Mathematics VIAM, Tbilisi State University, 2 University Str., 380043 Tbilisi, Georgia;

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会议组织
原文格式 PDF
正文语种 eng
中图分类环境质量分析与评价;
关键词
conservative schemes; transformation of variables; finite volume schemes; convergence; first order hyperbolic equations; cubed sphere; linear advection; operator splitting;

机译：保守的计划；变量转换；有限体积方案；收敛;一阶双曲方程；立方体球线性对流运算符拆分;

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机译：三维立方球面网格上双曲守恒律的高阶中心ENO有限体积方案
2. High-order finite volume shallow water model on the cubed-sphere: 1D reconstruction scheme [J] . Katta Kiran K., Nair Ramachandran D., Kumar Vinod Applied mathematics and computation . 2015,第Null期

机译：立方球面上的高阶有限体积浅水模型：一维重建方案
3. High-order finite volume shallow water model on the cubed-sphere: 1D reconstruction scheme [J] . Katta Kiran K., Nair Ramachandran D., Kumar Vinod Applied mathematics and computation . 2015,第Null期

机译：立方球面上的高阶有限体积浅水模型：一维重建方案
4. FINITE VOLUME SCHEMES ON CUBED SPHERE [C] . RAMAZ BOTCHORISHVILI, NATO NATO Advanced Research Workshop on Air, Water and Soil Quality Modelling for Risk and Impact Assessment . 2007

机译：在立方球体上有限音量方案
5. Development of the finite-volume dynamical core on the cubed-sphere . [D] . Putman, William M. 2007

机译：立方球体上有限体积动力核的发展。
6. Analysis of Finite Difference Discretization Schemes for Diffusion in Spheres with Variable Diffusivity [O] . Ashlee N. Ford Versypt, Richard D. Braatz -1

机译：变扩散球体中扩散的有限差分离散化方案分析
7. Optimized discrete wavelet transforms in the cubed sphere with the lifting scheme - implications for global finite-frequency tomography [O] . Chevrot, Sébastien, Martin, Roland, Komatitsch, Dimitri 2012

机译：使用提升方案优化立方球体中的离散小波变换-对全局有限频率层析成像的意义

FINITE VOLUME SCHEMES ON CUBED SPHERE

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