We investigate the possibility of reducing the computational burden of LES configurations by employing locally and dynamically adaptive polynomial degrees in the framework of a high order DG method. A degree adaptation technique especially featured to be effective for LES applications, that was previously developed by the authors and tested in the statically adaptive case, is applied here in a dynamically adaptive fashion. In this first study, no dynamic load balancing was carried out. Two significant benchmarks are considered, comparing the results of adaptive and non-adaptive simulations. The proposed dynamically adaptive approach allows for a significant reduction of the computational cost of representative LES computation, while allowing to maintain the level of accuracy guaranteed by LES carried out with constant, maximum polynomial degree values.

我们研究了通过在高阶DG方法的框架中采用局部和动态自适应多项式来减少LES配置的计算负担的可能性。以前由作者开发并在静态自适应情况下测试过的一种度自适应技术，特别适用于LES应用，在此以动态自适应方式应用。在此第一项研究中，没有进行动态负载平衡。考虑了两个重要的基准，比较了自适应和非自适应仿真的结果。提出的动态自适应方法可大幅降低代表性LES计算的计算成本，同时可保持以恒定的LES进行的LES所保证的精度水平，