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| A temporally-piecewise adaptive algorithm to solve shallow water equations |
| Received:March 02, 2012 Revised:July 25, 2012 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201303012 |
| KeyWord:shallow water equations piecewise expanding adaptive algorithm non-linearity |
| Author | Institution |
| 赵潇 |
大连理工大学工程力学系, 大连 |
| 杨海天 |
大连理工大学工程力学系, 大连 |
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| Abstract: |
| A temporally-piecewise adaptive algorithm is developed to solve 1-D shallow water equations.By expanding variables at a discretized time interval,a nonlinear time and space coupled initial boundary value problem is converted into a series of recursive linear boundary value problems which are tackled by FEM,and no approximation and iteration related with non-linearity are required.An adaptive computation is conducted to maintain a steady computing accuracy for different step sizes.Numerical comparison shows that when the time step is relatively larger,a sufficient computing accuracy can be achieved by the proposed algorithm,while Heun's method and 4-order Runge-Kutta method lead to unreasonable results. |