Two-Point Implicit Scheme for Euler Equations

概要

論文の詳細を見る
A new two-point implicit scheme for solving the Euler equations was developed,which is second-order accurate in space and time. This is an extension of theMacCormack implicit scheme, and is taking account of the following points ;1. to solve for the physical quantity itself at a new time-step, not for change ofthe physical quantity in time, 2. to modify the implicit operators for stability soas not to decrease accuracy of the approximation of the first derivative. Theresulting method is efficient and easy to program.This scheme was compared with various other schemes for a shock tube pro-blem. No physically irrelevant pressure distributions of the shock wave obtainedby the present method were observed. It was confirmed that the present oneproduced good results for a large CFL ntunber.[Numerical scheme, Cuter equations, Compressible flow, Shock wave.]
社団法人日本物理学会の論文
1983-05-15