A 3D phase-field based Eulerian variational framework for multiphase fluid-structure interaction with contact dynamics
arxiv(2024)
摘要
Using a fixed Eulerian mesh, the phase-field method has been successfully
utilized for a broad range of moving boundary problems involving multiphase
fluids and single-phase fluid-structure interaction. Nevertheless, multiphase
fluids interacting with multiple solids are rarely explored, especially for
large-scale finite element simulations with contact dynamics. In this work, we
introduce a novel parallelized three-dimensional fully Eulerian variational
framework for simulating multiphase fluids interacting with multiple deformable
solids subjected to contact dynamics. In the framework, each solid or fluid
phase is identified by a standalone phase indicator. Moreover the phase
indicators are initialized by the grid cell method, which restricts the
calculation to several grid cells. A diffuse interface description is employed
for a smooth interpolation of the physical properties across the phases,
yielding unified mass and momentum conservation equations for the coupled
dynamical interactions. For each solid object, temporal integration is carried
out to track the strain evolution in an Eulerian frame of reference. The
coupled differential equations are solved in a partitioned iterative manner. We
first verify the framework against reference numerical data in a
two-dimensional case of a rotational disk in a lid-driven cavity flow. The case
is generalized to a rotational sphere in a lid-driven cavity flow to showcase
large deformation and rotational motion of solids and examine the convergence
in three dimensions. We then simulate the falling of an immersed solid sphere
on an elastic block under gravitational force to demonstrate the translational
motion and the solid-to-solid contact in a fluid environment. Finally, we
demonstrate the framework for a ship-ice interaction problem involving
multiphase fluids with an air-water interface and contact between a floating
ship and ice floes.
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