A higher-order generalized ghost fluid method for the poor for the three-dimensional two-phase flow computation of underwater implosions

Farhat, Charbel; Rallu, Arthur; Shankaran, Sriram

doi:10.1016/j.jcp.2008.04.032

Cited by 108 publications

(109 citation statements)

References 25 publications

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“…3). To deal with this issue we follow the ideas developed in Ghost Fluid methods [12,14,29], by setting in these ghost cells a fictitious state. We define within these cells an artificial state from the states associated with the mirror cells relatively to the fluid-solid interface.…”

Section: Coupling Methodsmentioning

confidence: 99%

“…In addition, verifying conservation at the discrete level is a natural means to assess the numerical stability of the scheme [15]. Conservative Immersed Boundary methods [5,11,22,27] and Ghost Fluid methods [12,14] have been proposed for elliptic problems and compressible fluids. Conservative Immersed Boundary methods are built in such a way that the spatial discretization satisfies mass, momentum, and energy conservation.…”

Section: Introductionmentioning

confidence: 99%

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A Three-Dimensional Conservative Coupling Method Between an Inviscid Compressible Flow and a Moving Rigid Solid

Puscas¹,

Monasse²

2015

SIAM J. Sci. Comput.

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Section: Coupling Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Three-Dimensional Conservative Coupling Method Between an Inviscid Compressible Flow and a Moving Rigid Solid

Puscas¹,

Monasse²

2015

SIAM J. Sci. Comput.

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“…In [26], an FV method based on the exact solution of local, one-dimensional, two-phase Riemann problems was proposed for the solution of compressible multi-fluid problems. Here, this method is adapted for the solution of fluid-structure interaction problems.…”

Section: Exact Fluid-structure Riemann Solver For the Treatment Of Thmentioning

confidence: 99%

“…In this case, this interface is approximated by the reconstructed discrete interface E . Using the symbol to denote a virtual quantity, Equation (27), Equations (28) and (26), this principle can be written as…”

Section: Algorithm For Computing the Generalized And Total Flow-inducmentioning

confidence: 99%

Algorithms for interface treatment and load computation in embedded boundary methods for fluid and fluid–structure interaction problems

Wang

Rallu

Gerbeau

et al. 2011

Numerical Methods in Fluids

161

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SUMMARYEmbedded boundary methods for CFD (computational fluid dynamics) simplify a number of issues. These range from meshing the fluid domain, to designing and implementing Eulerian-based algorithms for fluidstructure applications featuring large structural motions and/or deformations. Unfortunately, embedded boundary methods also complicate other issues such as the treatment of the wall boundary conditions in general, and fluid-structure transmission conditions in particular. This paper focuses on this aspect of the problem in the context of compressible flows, the finite volume method for the fluid, and the finite element method for the structure. First, it presents a numerical method for treating simultaneously the fluid pressure and velocity conditions on static and dynamic embedded interfaces. This method is based on the exact solution of local, one-dimensional, fluid-structure Riemann problems. Next, it describes two consistent and conservative approaches for computing the flow-induced loads on rigid and flexible embedded structures. The first approach reconstructs the interfaces within the CFD solver. The second one represents them as zero level sets, and works instead with surrogate fluid/structure interfaces. For example, the surrogate interfaces obtained simply by joining contiguous segments of the boundary surfaces of the fluid control volumes that are the closest to the zero level sets are explored in this work. All numerical algorithms presented in this paper are applicable with any embedding CFD mesh, whether it is structured or unstructured. Their performance is illustrated by their application to the solution of three-dimensional fluid-structure interaction problems associated with the fields of aeronautics and underwater implosion.

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“…Many of these works concern themselves with fluid flow in the incompressible flow regime, see for example [8,22] and the references within, but researchers are increasingly giving attention to the two-way coupled interactions that arise in compressible flows, see for example [4,17,9]. If one desires to use a stateof-the-art Eulerian method on the fluid flow, and a state-of-the-art Lagrangian method for the structure solver, then this requires a numerical method for coupling these two solvers together.…”

Section: Introductionmentioning

confidence: 99%

Fully conservative leak-proof treatment of thin solid structures immersed in compressible fluids

Gretarsson

Fedkiw

2013

Journal of Computational Physics

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We propose a novel high resolution conservative advection scheme that is suitable for thin, embedded moving solid structures. The scheme works by coupling together a high order flux-based method with a conservative semi-Lagrangian solver that is similar in spirit to that of [26], but modified to treat the cut cells and partial volumes that arise near a thin solid structure. The conservative semi-Lagrangian scheme is unconditionally stable, and so unlike previous methods no cell merging is required to compensate for the small cell volumes that arise. Furthermore, as the semi-Lagrangian scheme works via tracing characteristic curves, no special treatment is required either to enforce non-penetration through thin, moving solid structures, or to populate swept or uncovered degrees of freedom. For the flux-based solver, we use finite-difference ENO with LaxFriedrich's diffusion (although any flux-based scheme works), and in doing so we found that a modification to the diffusion calculation leads to improved stability in its third order accurate variant. We integrate this novel hybrid advection scheme into a semi-implicit compressible flow solver, and modify the implicit pressure solver to work with cells of variable size. In addition, we propose an improvement to the semiimplicit compressible flow solver via a new method for computing a post-advected pressure. Finally, this hybrid conservative advection scheme is integrated into a semi-implicit fluid-structure solver, and a number of one-dimensional and two-dimensional examples are considered-in particular, showing that we can handle thin solid structures moving through the grid in a fully conservative manner, preventing fluid from leaking from one side of the structure to the other and without the need for cell merging or other special treatment of cut cells and partial volumes.

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A higher-order generalized ghost fluid method for the poor for the three-dimensional two-phase flow computation of underwater implosions

Cited by 108 publications

References 25 publications

A Three-Dimensional Conservative Coupling Method Between an Inviscid Compressible Flow and a Moving Rigid Solid

A Three-Dimensional Conservative Coupling Method Between an Inviscid Compressible Flow and a Moving Rigid Solid

Algorithms for interface treatment and load computation in embedded boundary methods for fluid and fluid–structure interaction problems

Fully conservative leak-proof treatment of thin solid structures immersed in compressible fluids

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