xinvert: A Python package for inversion problems in geophysical fluid dynamics
xinvert: A Python package for inversion problems in geophysical fluid dynamics
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DOI：
10.21105/joss.05510
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发表时间：
2023-09
期刊：
影响因子：
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通讯作者：
Yu-Kun Qian
中科院分区：
文献类型：
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作者：
Yu-Kun Qian
一旦给定已知的 z，就需要在适当的边界条件下得到未知的 ψ，这本质上是一个反演问题（图 1）。许多地球物理流体动力学（GFD）问题可以通过这种平衡模型来描述，该模型通常是空间导数的二阶（或四阶）并且不明确依赖于时间。因此，它也被称为稳态模型。早期科学家试图通过简化这些模型的参数（例如假设常数系数）来找到解析解。如今，随着数值算法和并行计算编程的新发展，人们可能需要一种用 Python 等流行编程语言编写的现代求解器，以数值方式反转所有这些模型。更具体地说，应满足以下需求：
Once ζ is given as a known, one needs to get the unknown ψ with proper boundary conditions, which is essentially an inversion problem (Figure 1). Many geophysical fluid dynamical (GFD) problems can be described by such a balanced model, which is generally of second (or fourth) order in spatial derivatives and does not depend explicitly on time. Therefore, it is also known as a steady-state model. Early scientists tried to find analytical solutions by simplifying the parameters of these models (e.g., assuming constant coefficients). Nowadays, with the new developments in numerical algorithms and parallel-computing programming, one may need a modern solver, written in a popular programming language like Python, to invert all these models in a numerical fashion. More specifically, the following needs should be satisfied: