In this paper, three novel truly-explicit time-marching techniques are proposed for the solution of hyperbolic models. In these techniques, locally computed time-integration parameters are applied, which are defined taking into account the properties of the spatially/temporally discretised model and the evolution of the computed responses. These adaptive time integrators allow introducing enhanced numerical damping into the analysis, reducing spurious non-physical oscillations that occur due to the excitation of spatially unresolved modes. The proposed adaptive techniques are formulated based on second-, third-, and fourth-order accurate time-marching approaches, providing solution algorithms with different complexities. At the end of the paper, numerical results are presented, illustrating the good performance of the proposed procedures.

本文针对双曲模型的求解提出了三种新颖的显式时间行进技术。在这些技术中，应用了本地计算的时间积分参数，这些参数是在考虑到空间/时间离散模型的属性以及计算的响应的演变之后进行定义的。这些自适应时间积分器允许在分析中引入增强的数值阻尼，从而减少由于激发空间上未解析模式而产生的虚假非物理振荡。所提出的自适应技术是基于二阶，三阶和四阶准确的时间行进方法制定的，为解决方案算法提供了不同的复杂度。在本文的最后，给出了数值结果，说明了所提出程序的良好性能。