MLP高阶重构格式应用

傅林; 高正红; 左英桃

doi:10.13224/j.cnki.jasp.2014.10.007

MLP高阶重构格式应用

doi: 10.13224/j.cnki.jasp.2014.10.007

西北工业大学航空学院翼型叶栅空气动力学国防科技重点实验室, 西安 710072

详细信息

作者简介:
傅林（1988- ），男，江苏徐州人，硕士生，研究方向为计算流体力学.linf1017@gmail.com

中图分类号: V211.3
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出版历程
- 收稿日期: 2013-07-06
- 刊出日期: 2014-10-28

Application on MLP high order reconstruction scheme

National Key Laboratory of Science and Technology on Aerodynamic Design and Research, School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China

摘要

摘要: 在有限体积框架下，利用MLP（multi-dimensional limiting process）系列重构格式结合HLL-HLLC（Harten-Lax-van Leer with contact）近似黎曼求解器，同时引入激波探测函数进一步降低MLP在光滑流动区域的数值耗散，数值模拟了超声速前台阶流动、结冰翼型的非定常流动、高超声速双楔流动和DLR F6-WB跨声速流场，研究了MLP系列格式在可压缩复杂流场中的表现.结果表明：在多维空间中，MLP格式能够在如强斜激波与网格线不重合等复杂流场数值模拟中保持严格的流场单调性；具有和传统MUSCL（monotone upstream-centered schemes for conservation laws）格式类似的计算效率，可以实现5阶，甚至更高阶重构；数值耗散更低，捕获更准确的激波位置，对航空工程数值模拟具有重要意义.
- MLP(multi-dimensional limiting process) /
- MUSCL(monotone upstream-centered schemes for conservation laws) /
- HLL-HLLC(Harten-Lax-van Leer with contact) /
- 高阶重构格式 /
- 可压缩流
Abstract: Under the frame of finite volume methodology, MLP (multi-dimensional limiting process) scheme was further modified by introducing a shock-detect function to decrease the numerical dissipation in smooth regions, then supersonic flow over facing step, unsteady flow over an airfoil with ice accretion, hypersonic flow over double wedge configuration flow and subsonic flow over DLR F6-WB complex configuration were investigated by utilizing MLP high order reconstruction scheme and HLL-HLLC (Harten-Lax-van Leer with contact) approximate Riemann solver to validate the performances of proposed schemes in sophisticated compressible flow simulations. The research illustrates that: MLP can keep strict monotone flow characteristics even in the complex high-dimension fluid simulations consisting of strong oblique shock waves not aligned with grids; it has the similar computational efficiency compared with traditional MUSCL (monotone upstream-centered schemes for conservation laws) scheme and can achieve fifth or even higher order reconstruction; it features low numerical dissipation so that more accurate shock position can be captured, therefore MLP scheme is promising for aerospace engineering applications.

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参考文献(18)

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