• 论文 •

SOMS——可压缩完全Navier-Stokes方程的一种差分格式

1. 中国科学院计算中心 ;中国科学院计算中心
• 出版日期:1981-01-20 发布日期:1981-01-20

SOMS-A DIFFERENCE SCHEME FOR COMPLETE COMPRESSIBLE NAVIER-STOKES EQUATIONS

1. Wu Hua-mo;Yang Ming-liang Computing Centre, Academia Sinica
• Online:1981-01-20 Published:1981-01-20

In this paper, we propose the SOMS (the second order monotone scheme) which combinesa first order accurate scheme with a second order one by using a new switch. Furthermore, themonotonicity theorem of this scheme is demonstrated. In order to apply this scheme to fluid dynamic calculations, we propose first of all theMDC (modified donor cell) method which is of first order accuracy and is monotone andstable without any artificial viscosity to the pressure term. The simple central scheme is usedas a second order scheme. The resulting scheme is tranformed into a semi-implicit form inorder to get a better computational stability. Some numerical results for complete compressible Navier-Stokes equations are obtained. Thetest calculations show monotonously rapid transition for shock waves and the second order accu-racy in regions where the solution is smooth.
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