Fluid–Structure Interaction and Flows with Moving Boundaries and Interfaces

Abstract

Flows with moving boundaries and interfaces (MBI) include fluid–structure interaction and a number of other classes of problems, such as fluid–object interaction, fluid–particle interaction, free‐surface and multifluid flows, and flows with solid surfaces in fast, linear, or rotational relative motion. These problems are frequently encountered in engineering analysis and design, pose some of the most formidable computational challenges, and have a common core computational technology need. Bringing solution and analysis to them motivated the development of a good number of core computational methods and special methods targeting specific classes of MBI problems. This chapter is an overview of some of those core and special methods, with a focus on computational examples from the ST‐VMS and ALE‐VMS methods and special methods developed in conjunction with the two.

Mesh Moving Methods in Flow Computations with the Space–Time and Arbitrary Lagrangian–Eulerian Methods

“…Many real-world fluid mechanics problems involve fluid-structure interaction (FSI), fluidparticle interaction, free-surface and two fluid-flows, and flows with moving mechanical components. These categories of problems can be seen as subcategories of flows with moving boundaries and interfaces (MBI) [1]- [3]. In FSI and MBI computations with moving-mesh methods [1]- [3], as the flow domain changes its shape, the mesh moves to facilitate that shape change, to follow the moving interfaces, and to control the mesh resolution near the moving solid surfaces.…”

“…These categories of problems can be seen as subcategories of flows with moving boundaries and interfaces (MBI) [1]- [3]. In FSI and MBI computations with moving-mesh methods [1]- [3], as the flow domain changes its shape, the mesh moves to facilitate that shape change, to follow the moving interfaces, and to control the mesh resolution near the moving solid surfaces. The moving-mesh methods are also called interface-tracking methods [1]- [3] since the mesh is moving to "track" the interface, as opposed to just "capturing" it over a nonmoving mesh.…”

“…In FSI and MBI computations with moving-mesh methods [1]- [3], as the flow domain changes its shape, the mesh moves to facilitate that shape change, to follow the moving interfaces, and to control the mesh resolution near the moving solid surfaces. The moving-mesh methods are also called interface-tracking methods [1]- [3] since the mesh is moving to "track" the interface, as opposed to just "capturing" it over a nonmoving mesh. More discussion on the moving-mesh (interface-tracking) and nonmoving-mesh (interface-capturing) methods, including the Mixed Interface-Tracking/Interface-Capturing Technique [4] and Fluid-Solid Interface-Tracking/Interface-Capturing Technique (FSITICT) [5] can be found in [1]- [3], [6].…”

Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for incompressible flow with moving boundaries and interfaces

“…ALE-based finite element methods have been widely used for moving interface incompressible flow problems, see the recent review [53]. The first ALE-based HDG method was introduced in 2016 by Sheldon et.…”

A staggered procedure for fluid–object interaction with free surfaces, large rotations and driven by adaptive time stepping

“…In [78,80], the level set method is considered using an alternative approach: a fully Eulerian one-fluid formulation. An overview of the different FSI methods with moving boundaries and interfaces is given in [71]. In [75], a coupled partitioned approach for this problem is proposed, with a simple model for the free-surface treatment.…”