高精度迎风紧致差分格式与热流计算研究的注记

Notes on a high order accurate upwind compact difference scheme and heat transfer problems

利用高精度差分格式求解了可压缩 N-S方程球头热流问题。分析了不同差分格式在对球头粘性绕流热流计算中存在的问题 ,并分析了相应的网格雷诺数。在利用高精度迎风紧致 [1 ] 格式求解粘性绕流热流问题时 ,采用 Steger-Warming[2 ]的通量分裂技术将守恒型方程中的流通向量分裂成两部分 ,在此基础上据风向构造逼近于无粘项的高精度迎风格式。对方程中的粘性部分采用中心差分格式。数值结果表明

A high order accurate upwind compact difference scheme for N-S equations is developed. The heat transfer problems in the flow fields around a blunt body are investigated. The mesh Reynolds number is also analyzed. For the inviscid portion of the N-S equations the flux vectors are split by Stager Warming's flux vectors splitting technique. The flux vectors are approximated by using upwind compact scheme. The centered difference scheme is used for the viscous portion. The numerical solutions indicate that the high order accurate difference scheme is satisfactory.