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5. Examples of programs and numerical results

In this section, we present some examples of the numerical programs of geophysical fluid models composed by the SPMODEL library, and their calculation results.

• 5.1. The KdV equation in a one-dimensional cyclic domain
• 5.2. A β-plane barotropic model on a two-dimensional double cyclic domain
• 5.3. A thermal convection model of the Boussinesq fluid in a two-dimensional channel domain
• 5.4. A shallow water model on a two-dimensional rotating sphere

In each subsection, the programs are simply described by presenting the part of the program corresponding to the governing equations and the initial conditions. By comparing the source codes with the original mathematical expressions, we hope that the readers may experience for themselves how programs are written in a manner resembling the manipulation of a mathematical equation. The source codes of the programs can be viewed in their entirety by referring to the links provided in the respective pages in order to verify the readability of the programs with the help of the reference manual of SPMODEL library ([4]).

As for the subroutines of data input and output used in the programs, please refer to Appendix 2 , and for post-processing and visualization of the output data, please refer to Appendix 3 .

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