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发展了一种基于格心型有限体积方法(FVM)的激波装配算法。通过定义网格节点属性可以灵活调用激波装配和激波捕捉计算方法。在使用激波装配方法时,激波节点运动速度和下游运动速度通过Rankine-Hugoniot(R-H)关系式获得,同时采用非结构动网格技术描述激波的运动以及调整其他网格节点的位置。流过激波面元的通量为上游单元的基本通量,物理概念更加清晰,通量计算也更为准确。在计算过程中,网格节点属性可以发生变化,以此实现对带有拓扑变化流场的描述。数值试验表明:本文提出的计算方法不但具有较高的计算精度,同时能有效地避免由于捕捉激波而出现的数值问题。
A shock wave assembly algorithm based on the lattice-centered finite volume method (FVM) was developed. By defining the properties of grid nodes, you can flexibly invoke the shockwave assembly and shock capture calculation method. When the shock wave assembly method is used, the velocity of the shock wave node and the velocity of the downstream wave are obtained by the Rankine-Hugoniot (R-H) relation. Meanwhile, the unstructured moving mesh technique is used to describe the shock wave motion and adjust the positions of other mesh nodes. The flux passing through the shock surface element is the basic flux of the upstream unit, the physical concept is clearer and the flux calculation is more accurate. During the calculation, the properties of the mesh nodes can be changed in order to achieve a description of the flow field with topological changes. Numerical experiments show that the proposed method not only has higher computational accuracy, but also can effectively avoid the numerical problems caused by the shock wave catching.