A time semi-implicit scheme for the energy-balanced coupling of a shocked fluid flow with a deformable structure

Puscas, Maria Adela; Monasse, Laurent; Ern, Alexandre; Tenaud, Christian; Mariotti, C.; Daru, Virginie

doi:10.1016/j.jcp.2015.04.012

Cited by 7 publications

(10 citation statements)

References 23 publications

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“…We use the unidimensional One‐Step Monotonicity‐Preserving (OSMP) high‐order scheme . As in , the extension to the multidimensional case is made with a directional operator splitting consisting in solving alternately the one‐dimensional problem in each direction. We denote by

{\overset{p}{false}}_{x}^{n}

{\overset{p}{false}}_{y}^{n}

, and

{\overset{p}{false}}_{z}^{n}

the pressures used in the resolution of the one‐dimensional problems in the x , y , and z directions, respectively.…”

Section: Coupling Without Fragmentationmentioning

confidence: 99%

“…Because the mean vertices

{\overset{a}{false}}_{i}^{n}

do not remain coplanar in general, the reconstructed fluid‐solid interface is the set of triangles supported by the center of mass of the polyhedral particle face and the mean vertices

{\overset{a}{false}}_{i}^{n}

. The detailed procedure of the boundary reconstruction is described in .…”

Section: Coupling Without Fragmentationmentioning

confidence: 99%

“…The fluid force acting on the solid particle I is given by

{\overset{F}{true}}_{I, fluid}^{n} = \sum_{scriptF \in {frakturF}_{I}} {\overset{F}{true}}_{scriptF, fluid}^{n} = - \sum_{scriptF \in {frakturF}_{I}} {\overset{normalΠ}{true}}_{scriptF}^{n},

where

{frakturF}_{I}

collects the wet faces of the particle I . Similarly, the fluid torque

{\overset{scriptℳ}{true}}_{I, fluid}^{n}

is given by

{\overset{scriptℳ}{true}}_{I, fluid}^{n} = \sum_{scriptF \in {frakturF}_{I}} {\overset{F}{true}}_{scriptF, fluid}^{n} \land ((), {\overset{X}{true}}_{scriptF}^{n} - {\overset{X}{true}}_{I}^{n}) .

Explicit and semi‐implicit time integration schemes for the fluid‐solid coupling are described in .…”

Section: Coupling Without Fragmentationmentioning

confidence: 99%

“…Explicit and semi-implicit time integration schemes for the fluid-solid coupling are described in [15,16].…”

Section: Fluid-solid Time Integrationmentioning

confidence: 99%

“…Various types of fictitious domain methods have been proposed. In particular, conservative embedded boundary INVISCID COMPRESSIBLE FLOW COUPLED WITH A FRAGMENTING STRUCTURE 971 methods [10][11][12][13][14][15][16][17] have been developed for elliptic problems and compressible fluids, so that the spatial discretization conserves mass, momentum, and energy in the fluid.…”

Section: Introductionmentioning

confidence: 99%

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A conservative embedded boundary method for an inviscid compressible flow coupled with a fragmenting structure

Puscas

Monasse

Ern

et al. 2015

Numerical Meth Engineering

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Summary We present an embedded boundary method for the interaction between an inviscid compressible flow and a fragmenting structure. The fluid is discretized using a finite volume method combining Lax–Friedrichs fluxes near the opening fractures, where the density and pressure can be very low, with high‐order monotonicity‐preserving fluxes elsewhere. The fragmenting structure is discretized using a discrete element method based on particles, and fragmentation results from breaking the links between particles. The fluid‐solid coupling is achieved by an embedded boundary method using a cut‐cell finite volume method that ensures exact conservation of mass, momentum, and energy in the fluid. A time explicit approach is used for the computation of the energy and momentum transfer between the solid and the fluid. The embedded boundary method ensures that the exchange of fluid and solid momentum and energy is balanced. Numerical results are presented for two‐dimensional and three‐dimensional fragmenting structures interacting with shocked flows. Copyright © 2015 John Wiley & Sons, Ltd.

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{\overset{p}{false}}_{x}^{n}

{\overset{p}{false}}_{y}^{n}

, and

{\overset{p}{false}}_{z}^{n}

the pressures used in the resolution of the one‐dimensional problems in the x , y , and z directions, respectively.…”

Section: Coupling Without Fragmentationmentioning

confidence: 99%

“…Because the mean vertices

{\overset{a}{false}}_{i}^{n}

do not remain coplanar in general, the reconstructed fluid‐solid interface is the set of triangles supported by the center of mass of the polyhedral particle face and the mean vertices

{\overset{a}{false}}_{i}^{n}

. The detailed procedure of the boundary reconstruction is described in .…”

Section: Coupling Without Fragmentationmentioning

confidence: 99%

“…The fluid force acting on the solid particle I is given by

{\overset{F}{true}}_{I, fluid}^{n} = \sum_{scriptF \in {frakturF}_{I}} {\overset{F}{true}}_{scriptF, fluid}^{n} = - \sum_{scriptF \in {frakturF}_{I}} {\overset{normalΠ}{true}}_{scriptF}^{n},

where

{frakturF}_{I}

collects the wet faces of the particle I . Similarly, the fluid torque

{\overset{scriptℳ}{true}}_{I, fluid}^{n}

is given by

{\overset{scriptℳ}{true}}_{I, fluid}^{n} = \sum_{scriptF \in {frakturF}_{I}} {\overset{F}{true}}_{scriptF, fluid}^{n} \land ((), {\overset{X}{true}}_{scriptF}^{n} - {\overset{X}{true}}_{I}^{n}) .

Explicit and semi‐implicit time integration schemes for the fluid‐solid coupling are described in .…”

Section: Coupling Without Fragmentationmentioning

confidence: 99%

“…Explicit and semi-implicit time integration schemes for the fluid-solid coupling are described in [15,16].…”

Section: Fluid-solid Time Integrationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A conservative embedded boundary method for an inviscid compressible flow coupled with a fragmenting structure

Puscas

Monasse

Ern

et al. 2015

Numerical Meth Engineering

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An embedded boundary method for an inviscid compressible flow coupled to deformable thin structures: The mediating body method

Jamond

Beccantini

2019

Numerical Meth Engineering

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This article deals with fast transient phenomena involving fluids and structures undergoing large displacements and rotations, associated with nonlinear local behavior, such as plasticity, damage, and failure. A new approach is proposed to handle the interaction between a structure and the compressible fluid it is immersed into. The equations governing the evolution of the structure and the fluid are discretized using Lagrangian shell finite-elements and Eulerian cell-centered finite volume approaches, respectively. The meshes of the structure and the fluid are totally independent from one another and fully unstructured. The proposed method uses an intermediate body through which the physical quantities are exchanged between the fluid and the structure. It relies on the solution of local one-dimensional fluid-structure Riemann problems in local frames related to the normal of the structure. Since the proposed approach does not require to subdivide the fluid cell according to the structure geometry, it can deal with complex nonmanifold thin structures. Nevertheless, it is shown through some numerical experiments that, thanks to some features described in this article, the method provides accurate results. It is also shown that the method can cope with large 3D problems. KEYWORDS compressible flow, embedded structures, finite element, finite volume, fluid-structure interaction, unstructured meshes INTRODUCTIONThis article deals with fast transient phenomena involving fluids and structures undergoing large displacements and rotations, associated with nonlinear local behavior, such as plasticity, damage, and failure. In this context, classical ALE approaches (for arbitrary Lagrangian Eulerian, see the works of Donea et al 1 or Hirt et al 2 ) reach a limit where it is not possible to update the fluid grid to follow the structural motion without encountering entangled fluid cells forcing the simulations to stop. Furthermore, even in the case of a motionless but complex structure, the conformity constraint between the fluid and structure meshes can make the construction of the fluid mesh a difficult task and lead to unwanted features of the resulting fluid mesh such as overrefined zones or low quality elements.Since the pioneering work of Peskin with the immersed boundary method, 3,4 several approaches allow to break the topological connection between the fluid and structural meshes and retrieve the expected level of robustness and flexibility to handle complex structural geometry and motions. One can think, for example, about the immersed interface Int J Numer Methods Eng. 2019;119:305-333.wileyonlinelibrary.com/journal/nme

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Virtual boundary method for inviscid transonic flow over supercritical airfoils

Solarte-Pineda

Greco

2016

Aerospace Science and Technology

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A time semi-implicit scheme for the energy-balanced coupling of a shocked fluid flow with a deformable structure

Cited by 7 publications

References 23 publications

A conservative embedded boundary method for an inviscid compressible flow coupled with a fragmenting structure

A conservative embedded boundary method for an inviscid compressible flow coupled with a fragmenting structure

An embedded boundary method for an inviscid compressible flow coupled to deformable thin structures: The mediating body method

Virtual boundary method for inviscid transonic flow over supercritical airfoils

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