FINITE DIFFERENCE METHOD FOR SOLVING THE NONLINEAR DYNAMIC EQUATION OF UNDERWATER TOWED SYSTEM
| Autor: | Jin Liang'an, Hengdou Tian, Zhijiang Yuan, Wei Chi |
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| Rok vydání: | 2014 |
| Předmět: |
Engineering
Work (thermodynamics) Discretization business.industry Finite difference method Type (model theory) Physics::Fluid Dynamics Computational Mathematics Nonlinear system symbols.namesake Algebraic equation Computer Science::Systems and Control Control theory Jacobian matrix and determinant Computer Science (miscellaneous) symbols Underwater business |
| Zdroj: | International Journal of Computational Methods. 11:1350060 |
| ISSN: | 1793-6969 0219-8762 |
| DOI: | 10.1142/s0219876213500606 |
| Popis: | A wide body of work exists that describes numerical solution for the nonlinear system of underwater towed system. Many researchers usually divide the tow cable with less number elements for the consideration of computational time. However, this type of installation affects the accuracy of the numerical solution. In this paper, a newly finite difference method for solving the nonlinear dynamic equations of the towed system is developed. The mathematical model of tow cable and towed body are both discretized to nonlinear algebraic equations by center finite difference method. A newly discipline for formulating the nonlinear equations and Jacobian matrix of towed system are proposed. We can solve the nonlinear dynamic equation of underwater towed system quickly by using this discipline, when the size of number elements is large. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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