带分数阶拉普拉斯的曲面拟地转方程的点阵Boltzmann方法

IF 2.9 2区 数学 Q1 MATHEMATICS, APPLIED
Haoyuan Gong, Tongtong Zhou, Baochang Shi, Rui Du
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引用次数: 0

摘要

具有分数阶拉普拉斯的地表拟地转方程在海洋和大气动力学领域具有重要意义。本文提出了一种新的晶格玻尔兹曼模型来求解这些方程。我们首先根据傅里叶变换和高斯正交公式得到控制方程的近似。针对该问题,建立了具有合适均衡分布函数的LBGK模型。通过Chapman-Enskog展开,可以从晶格玻尔兹曼模型中恢复近似的宏观方程。通过数值仿真验证了该方法的精度和效率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Lattice Boltzmann method for surface quasi-geostrophic equations with fractional Laplacian
The surface quasi-geostrophic equations with fractional Laplacian are important in the field of oceanic and atmospheric dynamics. In this paper, a new lattice Boltzmann model is proposed to solve the equations. We first obtain an approximation of the governing equation based on the Fourier transform and Gaussian quadrature formula. An LBGK model with a suitable equilibrium distribution function is then developed for the problem. Through Chapman–Enskog expansion, the approximated macroscopic equations can be recovered from the lattice Boltzmann model. Numerical simulations are carried out to verify the numerical accuracy and efficiency.
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来源期刊
Applied Mathematics Letters
Applied Mathematics Letters 数学-应用数学
CiteScore
7.70
自引率
5.40%
发文量
347
审稿时长
10 days
期刊介绍: The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.
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