国防科技大学学报2024，Vol.46Issue(1)：1-11,11.DOI:10.11887/j.cn.202401001
含新型间断探测器的混合WCNS格式在间断无粘可压流的应用
Hybrid WCNS scheme with new discontinuity detector applied to discontinuous inviscid compressible flows
摘要
Abstract
In order to enable high-precision accurate schemes to robustly capture shock waves and quickly obtain high fidelity simulation results of the flow field in supersonic inviscid compressible flow calculations,which usually contains complex structures such as discontinuities and small-scale vortices,a smoothness measurement algorithms based on combinations of sub-stencil derivatives were studied,and a new discontinuity detector was developed to balance accuracy and robustness,making troubled-cell recognition highly resolved for small-scale vortices.Hybrid WCNS(weighted compact nonlinear scheme)methods were studied,which could solve smooth and discontinuous regions in the flow field using linear and nonlinear weighting schemes respectively,to overcome the difficulty of a single nonlinear scheme in achieving design accuracy in smooth areas.Numerical results show that the hybrid WCNS scheme with new discontinuity detector performs well in simulating one-dimensional and two-dimensional Euler equations,and has higher computational efficiency compared to the original WCNS method that uses local characteristic decomposition in the entire flow field.关键词
激波捕捉/问题单元识别/有限差分法/高精度格式/双曲守恒律/无粘流动Key words
shock capturing/troubled-cell recognizing/finite difference method/high accuracy scheme/hyperbolic conservation law/inviscid flow引用本文复制引用
张昊,邓小刚..含新型间断探测器的混合WCNS格式在间断无粘可压流的应用[J].国防科技大学学报,2024,46(1):1-11,11.基金项目
国家自然科学基金资助项目(11972370,11927803) （11972370,11927803）
