解Euler方程组的一类二阶精度无振荡隐式有限差分格式

本文构造了一类二阶精度无振荡隐式有限差分格式来计算双曲型守恒律的弱解.这些格式由两步构成。第一步用线化一阶守恒格式,第二步用线化二阶无振荡格式。由这两步构成的格式具有绝对稳定性,无振荡性,二阶精度及较好的守恒性。数值实验也说明了格式的这些性质。

Second Order Accurate Nonoscillatory Implicit Schames for Euler Equations of Gasdynamics

This paper presents a class of second order accurate nonoscillatory implicit schamcs for the computation of weak solutions of hyperboiic conservation laws.These schames consist of two steps.In the first step,we use the lincarized first order implicit schame in conservation form.In the second step,we use the lincarized second order nonoscillatory sehame.The so-derived schames achieve nonconditionally stability,non-oscillation,second order accurate and good conservation.Numerical experiments are presented to demonstrate the performenee of these new schames.