详细分析对比了已有的Harten TVD格式在三维任意曲线坐标系下的形式,尤其是其校正流量的构造.通过几何意义及物理意义的分析,指出了其缺陷,即校正流量中包含不必要的几何参数.由此,对校正流量的构造进行了几何改进,使其满足几何与物理要求.这一改进简单、意义明确、而且不增加计算量与存储量,在网格变化剧烈处可以明显改善计算的精度.同时,也考虑了预处理下的Harten TVD格式的几何修正,并通过计算证明了在预处理修正下几何改进仍然有效.
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