Accuracy and stability analysis of the modified Lax numerical method in solving the sea waves refraction equation

10th International Conference Numerical Analysis in Engineering

数学;工业技术

Arif, S.^1

Department of Mathematics, Faculty of Mathematics and Sciences, Syiah Kuala University, Banda Aceh

23111, Indonesia^1

关键词: First order;    Neumann method;    Sea waves;    Shore lines;    Stability analysis;    Taylor series expansions;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/308/1/012012/pdf
DOI  :  10.1088/1757-899X/308/1/012012

学科分类：工业工程学

来源: IOP

【 摘 要 】

We analyse the accuracy and stability of the modified Lax numerical method used in solving the two dimensional sea waves refraction equation. The refraction phenomenon on the beach was observed by the fact that waves hit the shore line in perpendicular way. Angles of the incoming waves from offshore keep changing due to the smaller depth of water, and therefore become important to be determined. The accuracy was evaluated by means of the Taylor series expansion and the stability was analysed by the Von Neumann method. The analysis showed that the method is stable for a certain interval although it is only first order accurate.