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时空守恒元和解元方法（ＣＥ／ＳＥ）是近年来在国际上兴起的一种崭新的数值方法，它与传统的数值方法相比具有许多独特的优点，但是该方法推广到多维情形（尤其是三维）及高阶格式时会变得非常复杂。该文对其构造方法进行了改进，由此得到的新时空守恒格式不仅可保留原方法的优点，而且格式更简单、实用，尤其易于推广到多维情形。将这种新的格式构造方法应用于带有源项及刚性源项的守恒律方程，得到了相应的时空守恒格式。运用本文格式对几个典型流动问题进行了检验计算。其结果与精确解或实验结果符合很好。
The spatio-temporal conservation element and solution element method (CE / SE) is a new international numerical method that has arisen internationally in recent years. It has many unique advantages over the traditional numerical methods, but the method is extended to multi-dimensional cases Three-dimensional) and high-level format will become very complicated. In this paper, the construction method is improved. The resulting new spatio-temporal conservation scheme not only retains the advantages of the original method, but also has a simpler and more practical format. It is especially easy to generalize to multidimensional cases. Applying this new format construction method to the conservation law equations with source terms and rigid source terms, a corresponding space-time conservation scheme is obtained. Several typical flow problems are tested and calculated using this paper format. The result is in good agreement with the exact solution or experimental result.