论文标题
在熵投影和高阶熵的鲁棒性上
On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows
论文作者
论文摘要
高阶熵稳定方案为流体流的计算模拟提供了改善的鲁棒性。但是，对于具有不足特征的可变密度流仍然需要额外的稳定和阳性保留限制。我们从数值上证明了熵稳定的DG方法，其中包含“熵投影”的可能性较小，不太可能需要额外的限制来保留某些类型的流量。我们通过调查了这种观察到的鲁棒性改善的潜在解释来结束。
High order entropy stable schemes provide improved robustness for computational simulations of fluid flows. However, additional stabilization and positivity preserving limiting can still be required for variable-density flows with under-resolved features. We demonstrate numerically that entropy stable DG methods which incorporate an "entropy projection" are less likely to require additional limiting to retain positivity for certain types of flows. We conclude by investigating potential explanations for this observed improvement in robustness.
