Abstract
This work outlines a new multi-physics-compatible immersed rigid body method for Eulerian finite-volume simulations. To achieve this, rigid bodies are represented as a diffuse scalar field, and an interface seeding method is employed to mediate the interface boundary conditions. The method is based on an existing multi-material diffuse interface method that is capable of handling an arbitrary mixture of fluids and elastoplastic solids. The underlying method is general and can be extended to a range of different applications including high-strain rate deformation in elastoplastic solids and reactive fluid mixtures. As such, the new method presented here is thoroughly tested through a variety of problems, including fluid–rigid body interaction, elastoplastic–rigid body interaction, and detonation–structure interaction. Comparison is drawn between both experimental work and previous numerical results, with excellent agreement in both cases. The new method is straightforward to implement, highly local, and parallelizable. This allows the method to be employed in three dimensions with multiple levels of adaptive mesh refinement using complex immersed geometries. The rigid body field can be static or dynamic, with the tangent of hyperbola interface capturing reconstruction method being used to keep the interface sharp in the dynamic case.
Highlights
Immersed rigid boundaries are featured in the simulation of a wide variety of different physical applications
The method is based on an existing multi-material diffuse interface method that is capable of handling an arbitrary mixture of fluids and elastoplastic solids
The model is solved on a Cartesian mesh with local resolution adaptation in space and time. This is achieved using the AMReX software from Lawrence Berkeley National Laboratory,[63] which includes an implementation of the structured adaptive mesh refinement (SAMR) method of Berger and Colella[12] for solving hyperbolic systems of partial differential equations
Summary
Immersed rigid boundaries are featured in the simulation of a wide variety of different physical applications. The work of Wallis et al.[57] used a reduced-equation Allaire-type[1] multi-material diffuse interface scheme, adapted by Barton[10] to include elastoplastic solids On top of this underlying multi-material method, additional history parameters such as plastic strain, and scalar fields such as the void volume fraction, were used to include additional physics in a straightforward manner. The new methods developed in this work are entirely compatible with the previous works on which it is based, as the same underlying multi-material system of equations employed by Wallis et al.[57] is used here This allows the new rigid body method to be applied to a wide variety of applications, including single material fluid flow, elastoplastic–rigid interaction, and reactive fluid mixtures (as presented by Wallis et al.[58]). This work will, present a number of validation cases covering this range, with both experimental and numerical comparisons
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