中文摘要：

有一个高顺序计划的流动领域通常被计算以便解决复杂流动问题并且精确地描述流动结构。然而，有二个问题，即，还原剂顺序边界是不可避免的，因为超声的流动领域是低的，在不连续的冲击波的计划的顺序在流动领域里包含。在冲击波的还原剂顺序边界和低顺序的计划是否在在内的流动领域的数字解决方案和精确性上有效果，是可疑的。在这篇论文，根据流动领域的直接数字的模拟的实际状况，有准确答案的二个模型方程被解决，分别地，它稳定、不稳定在领域的边界和中心在领域和还原剂顺序方法的内部与一个高顺序计划学习这个问题。与准确答案作比较，还原剂顺序的效果存在，这被发现并且不能被忽略。另外，有准确解决方案的另外的二个模型方程，经常在液体力学被使用，是也为还原剂顺序问题与一样的进程学习了。

英文摘要：

The flow field with a high order scheme is usually calculated so as to solve complex flow problems and describe the flow structure accurately. However, there are two problems, i.e., the reduced-order boundary is inevitable and the order of the scheme at the discontinuous shock wave contained in the flow field as the supersonic flow field is low. It is questionable whether the reduced-order boundary and the low-order scheme at the shock wave have an effect on the numerical solution and accuracy of the flow field inside. In this paper, according to the actual situation of the direct numerical simulation of the flow field, two model equations with the exact solutions are solved, which are steady and unsteady, respectively, to study the question with a high order scheme at the interior of the domain and the reduced-order method at the boundary and center of the domain. Comparing with the exact solutions, it is found that the effect of reduced-order exists and cannot be ignored. In addition, the other two model equations with the exact solutions, which are often used in fluid mechanics, are also studied with the same process for the reduced-order problem.