论文标题
线性流体结构相互作用模型的整体散发构成HDG方案
A monolithic divergence-conforming HDG scheme for a linear fluid-structure interaction model
论文作者
论文摘要
我们为线性流体结构相互作用（FSI）问题提出了一种新型的单片差异构成HDG方案，并具有厚实的结构。对于半分化方案，获得了最佳的最佳能量估计。当与曲柄 - 尼科尔森时间离散化结合使用时，我们的完全离散的方案是能量稳定的，并且会产生精确的无差异流体速度近似。所得的线性系统是对称和不确定的，使用具有稳健的块代数多机（AMG）预处理的预处理的微小方法来求解。
We present a novel monolithic divergence-conforming HDG scheme for a linear fluid-structure interaction (FSI) problem with a thick structure. A pressure-robust optimal energy-norm estimate is obtained for the semidiscrete scheme. When combined with a Crank-Nicolson time discretization, our fully discrete scheme is energy stable and produces an exactly divergence-free fluid velocity approximation. The resulting linear system, which is symmetric and indefinite, is solved using a preconditioned MinRes method with a robust block algebraic multigrid (AMG) preconditioner.
