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| Application of quasi-initial condition boundary element method in transient heat conduction problem on gravity dams |
| Received:July 24, 2015 Revised:October 10, 2015 |
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| DOI：10.7511/jslx201606004 |
| KeyWord:time domain boundary element method numerical stability transient heat conduction quasi-initial condition method virtual time point method |
| Author | Institution |
| 周枫林 |
湖南工业大学 机械工程学院, 株洲 ;湖南大学 汽车车身先进设计与制造国家重点实验室, 长沙 |
| 李光 |
湖南工业大学 机械工程学院, 株洲 |
| 孙晓 |
湖南工业大学 机械工程学院, 株洲 |
| 张见明 |
湖南大学 汽车车身先进设计与制造国家重点实验室, 长沙 |
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| Abstract: |
| This paper applies a quasi-initial condition boundary element method (BEM) to solve the transient heat conduction problems on gravity dam.In this application,a quasi-initial condition method is utilized to calculate the integral over time.In the time-stepping scheme,the effects of the results computed forward on the current step are treated as the initial condition of the current step computation.In the quasi-initial condition method,however,numerical stability problem appears when the utilized time step is very small.The computational error increases gradually with the time stepping.To solve this numerically unstable problem,a virtual time point method is presented in this paper.In this method,the computational time step is amplified to some virtual time step which is usually with larger scale.The physical variables at the virtual time point are evaluated at first.In the evaluation of the physical variables at virtual time point,the boundary condition at that time is assumed and computed through a linear extra-interpolation scheme.The variables at the computational time point are then evaluated through an interpolation scheme.Validity of this method in the case that the physical variables vary linearly with time is proved.Two numerical examples are presented finally to show the accuracy and the stability of the present method. |
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