【WS-FTNCFD-2022|任玉新】非结构网格高精度紧致有限体积方法基础及研究进展
风流知音(FLOWS:Physics & beyond)【WS-FTNCFD-2022|任玉新】非结构网格高精度紧致有限体积方法基础及研究进展 CFDST (2022年7月24日)1030
非结构网格高精度紧致有限体积方法基础及研究进展
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专家简介:
任玉新, 清华大学航天航空学院教授,目前任中国空气动力学学会监事长,空气动力学学报副主编,Advances in Aerodynamics编委,国际计算流体力学大会科学委员会委员,中国大百科全书力学卷编委,力学名词审定工作委员会副主任、中国工业与应用数学学会数学力学专委会委员等。主要研究领域为计算流体力学高精度数值方法、空气动力学等。提出了色散最小、耗散可控的高精度MDCD格式;引入尺度识别器,提出了新型非线性色散关系保持格式,实现色散、耗散可设计,显著提高了非线性多尺度问题数值模拟的分辨率和鲁棒性。提出了变分重构、子网格重构、多步重构等非结构网格高精度有限体积紧致重构算法,解决了高精度有限体积方法重构模板过大的问题,提高了计算精度和效率。报告摘要:
本报告内容为非结构网格高精度紧致有限体积方法基础及其近期进展。在简要介绍高精度有限体积方法的基础内容和研究现状后,系统阐述了基于变分重构的非结构网格紧致变分重构的思路、算法、实现等问题。在此基础上,进一步介绍了一下两个方面的研究进展,其一是长宽比网格上变分重构泛函的选取及优化;其二是基于时间演化的保正技术。通过这两个技术,使变分重构有限体积方法的精度和鲁棒性有了显著改进,成功地实现了湍流流动的高精度模拟。(本文为任玉新老师在2022年湍流与噪声及CFD方法暑期高级讲习班的报告)
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