论文标题

loglatt:一个计算库和对数晶格上流动的计算库

LogLatt: A computational library for the calculus and flows on logarithmic lattices

论文作者

Campolina, Ciro S.

论文摘要

最近提出了关于对数晶格的模型,作为研究多尺度非线性物理学的替代方法。在这里,我们介绍了Loglatt,这是一个有效的MATLAB库,用于在多维对数晶格上的函数之间的演算。应用程序包括常见的差分运算符,规范和卷积,并作为MATLAB功能处理,因此其实现会导致优雅而直观的脚本。特别是,当应用于动态时,用户可以按照数学编写的编写管理方程式编码。我们为流体流动的一些问题提供代码和结果,作为应用的示例。

Models on logarithmic lattices have recently been proposed as an alternative approach to the study of multi-scale nonlinear physics. Here, we introduce LogLatt, an efficient MATLAB library for the calculus between functions on multi-dimensional logarithmic lattices. The applicabilities include common differential operators, norms, and convolutions, and operate as MATLAB function handles, so their implementations result in elegant and intuitive scripts. Particularly, when applied to dynamics, users may code the governing equations exactly as they are mathematically written. We give codes and results for some problems of fluid flow as examples of application.

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