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.二维CE/SE算法改进及其高阶精度格式[J].计算力学学报,2008,25(6):
 
二维CE/SE算法改进及其高阶精度格式
An improved two-dimensional CE/SE method and its high-order schemes
  
DOI:10.7511/jslx20086139
中文关键词:  CE/SE算法,高阶精度,数值模拟
英文关键词:CE/SE method,higher order accuracy,numerical simulation
基金项目:
北京大学工学院湍流与复杂系统研究国家重点实验室,中国科学院力学研究所
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中文摘要:
      通过提出一种新的守恒元和解元划分方式对二维时-空守恒元解元算法(CE/SE)进行了改进,推导了改进CE/SE算法的一、二阶精度计算格式,并给出了更高阶精度计算格式的构造方法。利用得到的改进CE/SE格式对激波反射问题、后台阶扰流问题及隔墙坑道传播问题进行了数值模拟。数值结果表明,对CE/SE算法的改进是成功的。改进CE/SE算法有诸多优点,值得在数值模拟中推广使用。
英文摘要:
      In this paper,the original two-dimensional space-time conservation element and solution element(CE/SE) method is improved by proposing a new design of conservation elements and solution elements.First-and second-order improved CE/SE schemes are deduced and the derivation method of high-order improved CE/SE schemes is given.The numerical test problems such as shock wave reflection,down a step and pass a tube with clapboard are simulated by the improved CE/SE schemes.The numerical results show that the improvement on CE/SE method is successful.The improved CE/SE method has many advantages and deserves extension in numerical simulations.
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