一种求解气动双曲方程的高精度差分格式DEM

A High Accuracy Difference Scheme——DEM for Solving Gas Dynamics Hyperbolic equations

本文建立了一种基于解本身及共导数所满足的微分方程之上的差分格式DEM(Double Equation Method)。这种差分格式不仅精度高,而且有效地消除了双曲方程高阶差分解中常出现的振荡现象。

A new difference scheme-DEM (Double Equation Method) based on both the differential equation to be solved and one derived by taking its space derivative is presnted in the paper. DEM not only has an accuracy higher than Lax-Wendroff two-step method, but also produces little oscillation around a discontinuity of solution.