谢小平 教授（四川大学）

许现民 研究员

A Reynolds-semi-robust globally divergence-free HDG method for the Smagorinsky model

5月5日 (周二) 16:00-17:00，思源楼723

We develop a globally divergence-free hybridizable discontinuous Galerkin method for the time-dependent Smagorinsky model.  The scheme combines interior penalty discretization of the viscous terms, including the nonlinear eddy viscosity, with upwind treatment of the convective terms.

We derive an energy stability result and   Reynolds semi-robust velocity error estimates that are independent of inverse powers of the viscosity and capture pre-asymptotic convergence at high Reynolds numbers.

A series of numerical experiments are provided to confirm the robustness and accuracy of the proposed method.