A Coupled Interface-tracking/
Interface-capturing Technique For
Free-surface Flows
Author(s)
M. Watts, S. Aliabadi & S. Tu
Abstract
In this paper we will present a new computational approach to simulate
free-surface flow problems efficiently. The finite element solution strategy is
based on a combination approach derived from fixed-mesh and moving-mesh
techniques. Here, the free-surface flow simulations are based on the
Navier-Stokes equations written for two incompressible fluids where the impact
of one fluid on the other one is extremely small. An interface function with two
distinct values is used to locate the position of the free-surface in regions near
the floating object, while mesh-moving is used to move the free-surface in
regions where wave breaking is not expected. The stabilized finite element
formulations are written and integrated in an arbitrary Lagrangian-Eulerian
domain. In the mesh-moving scheme, we assume that the computational domain
is made of elastic materials. The linear elasticity equations are solved to obtain
the displacements for each computational node. The numerical example includes
a 3D simulation of flow past a sphere with a Reynolds number of 5000 and a
Froude number of 0.5.
Keywords: finite element method, parallel simulation, free-surface flows,
interface-tracking, and interface-capturing.
1 Introduction
The numerical simulations of free-surface flows require the coupling between the
equations governing the dynamics of the fluid and the free-surface. Generally,
there are two distinct approaches in the numerical simulation of free-surface
flows. Depending on the physical characteristics of the problem, either
\“interface-tracking” or \“interface-capturing” techniques are used. In the
Keywords
finite element method, parallel simulation, free-surface flows,
interface-tracking, and interface-capturing.
Related Book
Other papers in this volume
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