【摘要】 本文从ＧＣＩＲ差分格式出发，通过附加中心加权形式的反扩散流量，构造出一类具有二阶精度的对称型ＴＶＤ格式以及相应的一般形式的隐式格式，并针对双曲型方程组问题进行了讨论。同时文中还采用这类格式求解Ｅｕｌｅｒ方程，成功地数值计算了具有激波的流动问题。更多还原

【Abstract】 A class of second -order explicit and implicit symmetric total variation diminishing (TVD)schemes is constructed for the computation of weak solutions of hyperbolic conservation laws.The resulting scheme can be viewed as a limited anti-diffusive flux, that is centered weighted flux, to add to a first- order GCIR scheme. Numerical experiments for solving the Euler equations for capturing shock waves show that the symmetric TVD schemes are quite robust and accurate.更多还原