A conforming sliding mesh technique for an embedded-hybridized discontinuous Galerkin discretization for fluid-rigid body interaction

TL;DR

This paper introduces a novel conforming sliding mesh technique for an embedded-hybridized discontinuous Galerkin method, enabling accurate simulation of fluid-rigid body interactions with large rotational motions in time-dependent domains.

Contribution

The paper extends a previous discontinuous Galerkin discretization to handle fluid-rigid body interactions using a new sliding mesh approach for large rotations.

Findings

Effective handling of large rigid body rotations

Mass and momentum conservation maintained

Stable and accurate simulations demonstrated

Abstract

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.