李晓鹏,程迪,齐力,李龙.充分发展的QDS方法二阶格式及其应用[J].计算力学学报,2013,30(4):532~537 |
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充分发展的QDS方法二阶格式及其应用 |
A fully improved second order scheme for QDS method and its application |
投稿时间:2012-04-22 修订日期:2012-08-25 |
DOI:10.7511/jslx201304013 |
中文关键词: QDS方法 Euler求解器 充分发展的二阶格式 计算效率 斜率限制器 |
英文关键词:QDS method Euler solver a fully improved second order scheme computing efficiency slope limiters |
基金项目:国家自然基金重大研究计划重点支持(91016005);国家自然科学基金创新群体(10621202)资助项目. |
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中文摘要: |
介绍了QDS方法Euler求解器的基本思路,并从以下三个方面做了改进:(1) 在统计网格宏观量时,考虑了相邻网格内流动量的梯度,发展成了二阶格式,使得在QDS算法中的粒子重构和网格宏观量统计都达到二阶格式,由此为充分发展的二阶格式;(2) 在进行网格宏观量统计时,提出将按网格进行宏观量统计修改为按粒子位置更新网格宏观量,减少了对粒子进行遍历的次数,大大提高了计算效率;(3) 在改进后的二阶格式中引进了斜率限制器,比较了不同斜率限制器的效果。 |
英文摘要: |
The QDS (Quiet Direct Simulation) method for Euler fluid is introduced.As the most important part,the current method extends the previous Euler solver developed by Albright and M.R.Smith mainly by three aspects:(1) The gradients (density,temperature,velocity) are calculated when updating the grid properties of mass,momentum and energy from the individual particle at the third step in the QDS method,hence a fully improved second order scheme.(2) A kind of new process for updating the grid properties from the individual particle is developed,which cut down the times for the most part to seek the total particles,thus improving the computing efficiency signally.(3) Several slope limiters are employed in the second scheme and their performances are tested. |
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