In (J. Comput. Phys., 417, 109577, 2020) we introduced a space-time embedded-hybridizable discontinuous Galerkin method for the solution of the incompressible Navier-Stokes equations on time-dependent domains of which the motion of the domain is prescribed. This discretization is exactly mass conserving, locally momentum conserving, and energy-stable. In this manuscript we extend this discretization to fluid-rigid body interaction problems in which the motion of the fluid domain is not known a priori. To account for large rotational motion of the rigid body, we present a novel conforming space-time sliding mesh technique. We demonstrate the performance of the discretization on various numerical examples.
翻译:在(J. Comput. Phys., 417, 109577, 2020)中,我们引入了一种空间-时间嵌入-可垂直不连续的Galerkin方法,用于解决对时间依赖域的无法压缩的导航-斯托克斯方程式,对时间依赖域作了调整。这种分离完全是指大规模保护、局部动力保持和能源稳定。在这份手稿中,我们将这种分离扩大到流体-硬体相互作用问题,在这些问题中,流体域运动并不先知。为了说明僵硬体的大规模旋转运动,我们提出了一个符合空间-时间滑动网格的新颖技术。我们在各种数字实例中展示了离解性的表现。