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Spreading of Water Waves

(Bachelor's final project)

In this project, I investigated the spreading problem of water waves and obtained a mathematical description in two-dimensional and three dimensional spaces which is involved with the classical Cauchy-Poisson problem in 19th century. In the first half part, I mainly discussed the two-dimensional problem including how the mathematical model extracted from our real life which may refer to the derivation of governing equation and initial and boundary conditions, and used Maple to process the numerical calculation. Three-dimensional spreading problem were studied in the rest of the project. Comparing with the two-dimensional problem, three-dimensional case are almost the same but in three-dimensional space.

2d simulation: 2d simulation

3d simulation: 3d simulation

License

All content in this repository is openly licensed with a CC BY 4.0, which means you're free to use the materials and remix them so long as you credit the source.

If you were to use content from this repo in your own work, please attribute me with a sentence like:

The material is (partially) derived from Zhangdaihong Liu's project "Spreading of Water Waves".