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中文摘要：
在有限元计算中,随着模型复杂程度的增加,消耗的计算资源成几何级数增长,若模型过度复杂甚至可能导致计算失败。为了提高计算效率,确保计算顺利进行,简化模型十分必要。而模型简化前后的分析解将产生一定的偏差,为使计算精度达到分析要求,必须首先保证模型简化前后的理论解差异可控。以抛物问题中几何模型的圆柱扫掠面为研究对象,通过对初始模型进行初步简化并计算,辅助用户合理设定模型中各个圆柱扫掠面特征的简化阈值,并结合网格划分算法的特点设计算法产生面向特征的简化策略,使得模型简化前后的理论解差异在可控范围内,为进一步估计两者的分析解差异打下理论基础。最后以热分析为切入点进行了仿真实验,验证了结论的有效性。
英文摘要：
As a prevalent problem,the analysis of complicated model in finite element problems usually costs a great deal of computing resources.As a common method of reducing computing cost,simplification toward geometric models is necessary.To ensure the difference between computing results of model before and after simplification under control,theoretical results of them should be negligible.In order to generate appropriate simplification strategy toward cylinders in model in parabolic problems,preliminary computing was applied to decide degrees of simplification toward features.The generated simplification strategy could improve the computing efficiency and reduce the cost resources which are based on satisfying the equivalency of theoretical results of model before and after simplification.Heat conduct simulation experiments validate the conclusion.
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