中文摘要：

在这份报纸，一个一般高顺序的多域混血儿 DG/WENO-FD 方法，它联合 pth 顺序(p3 ) DG 方法和 qth 顺序(q 3 ) WENO-FD 计划，被开发。在领域接口有二条可能的联合途径，一个人是非保守的，其它是保守的。非保守的联合途径能保存精确性的最佳的顺序，本地保守错误被证明最高第三份订单。至于保守联合途径，精确性分析证明在联合接口的强迫的保存策略败坏精确性局部地到在“联合房间”的 firstord raccuracy。一数字稳定性的数字实验也为非保守、保守的联合途径被介绍。几数字结果被介绍证实理论分析结果并且表明混合 DG/WENO-FD 解答者的表演。

英文摘要：

In this paper, a general high-order multi-domain hybrid DG/WENO-FD method, which couples a p^th-order （p ≥ 3） DG method and a q^th-order （q ≥ 3） WENO-FD scheme, is developed. There are two possible coupling approaches at the domain interface, one is non-conservative, the other is conservative. The non-conservative coupling approach can preserve optimal order of accuracy and the local conservative error is proved to be upmost third order. As for the conservative coupling approach, accuracy analysis shows the forced conservation strategy at the coupling interface deteriorates the accuracy locally to first- order accuracy at the ＇coupling cell＇. A numerical experiments of numerical stability is also presented for the non-conservative and conservative coupling approaches. Several numerical results are presented to verify the theoretical analysis results and demonstrate the performance of the hybrid DG/WENO-FD solver.