A dual time stepping method for fluid–structure interaction problems

Summary A three‐dimensional numerical model is developed to analyze free surface flows and water impact problems. The flow of an incompressible viscous fluid is solved using the unsteady Navier–Stokes equations. Pseudo‐time derivatives are introduced into the equations to improve computational efficiency. The interface between the two phases is tracked using a volume‐of‐fluid interface tracking algorithm developed in a generalized curvilinear coordinate system. The accuracy of the volume‐of‐fluid method is first evaluated by the multiple numerical benchmark tests, including two‐dimensional and three‐dimensional deformation cases on curvilinear grids. The performance and capability of the numerical model for water impact problems are demonstrated by simulations of water entries of the free‐falling hemisphere and cone, based on comparisons of water impact loadings, velocities, and penetrations of the body with experimental data. For further validation, computations of the dam‐break flows are presented, based on an analysis of the wave front propagation, water level, and the dynamic pressure impact of the waves on the downstream walls, on a specific container, and on a tall structure. Extensive comparisons between the obtained solutions, the experimental data, and the results of other numerical simulations in the literature are presented and show a good agreement. Copyright © 2015 John Wiley & Sons, Ltd.

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“…(26) in each coordinate direction can be expressed as follows [7]: (26) in each coordinate direction can be expressed as follows [7]:…”

Section: Operator Split Advectionmentioning

confidence: 99%

“…The dual-time, pseudo-compressibility, homogeneous flow model is developed on the basis of the unsteady incompressible NS equations to improve computational efficiency [7,[24][25][26]. The governing equations are expressed in the Cartesian form as follows:…”

Section: Governing Equationsmentioning

confidence: 99%

A free surface flow solver for complex three‐dimensional water impact problems based on the VOF method

Nguyen

Park

2015

Numerical Methods in Fluids

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“…Nevertheless, we will keep the transient term e l v@hP l i=@t for numerically solving this equation. Indeed, in the case of convective equations, several researchers [24][25][26][27] propose including an artificial compressibility in order to avoid any numerical instability problems; the introduction of this artificial term in the convective transport equation is called the pseudo-compressibility method. In our case, we do not need to add this compressibility artificially because it naturally appears as a consequence of the liquid compressibility.…”

Section: Compressible Liquid Mass and Momentum Balance Transfermentioning

confidence: 99%

Two-Phase Shrinking Porous Media Drying: A Modeling Approach Including Liquid Pressure Gradients Effects

2007

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This article deals with the drying modeling of a saturated deformable porous media (solid þ fluid). This modeling takes into account the mechanical behavior of the product as well as its initial conditions such as its moisture content and geometry. The effect of fluid pressure gradient on the fluid transfer is described by using Darcy's law, and the fluid compressibility is characterized by its bulk modulus of elasticity. The solid phase is supposed to be incompressible and the porous media permanently diphasic (ideal shrinkage hypothesis). The description of the strong thermohydro-mechanical coupling that takes place within the material during drying is taken into account in the light of Biot's consolidation theory by adopting Terzaghi's effective stress principle. The numerical resolution is performed by FEM and ALE methods. A comparison between experimental results (convective drying of an alumina gel) and numerical results improves the ability of this modeling to describe thermo-hydro-mechanical coupling. It further highlights a current lack of precision in the determination of the thermophysical parameters values that control the model.

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“…The one-dimensional piston interacting with the compressible Euler flow was dealt with in [19]. De Jouëtte et al [20] investigated the dualtime stepping algorithm for both physical ingredients, where the rigid-body resolution seems involved. Teixeira and Awruch [21] utilized the explicit AC-based scheme to work out the slightly compressible fluid flows interacting with the flexible solid.…”

Section: Introductionmentioning

confidence: 99%

The use of artificial compressibility to improve partitioned semi-implicit FSI coupling within the classical Chorin–Témam projection framework

Wang

Zhang

2018

Computers & Fluids

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Over the last decade the classical Chorin-Témam projection method has been utilized to address fluid-structure interaction in a semi-implicit manner. In previous studies the fluid projection step is fully coupled with the structural motion due to the divergence-free constraint. A set of simultaneous equations thus have to be iteratively solved. To overcome this difficulty, a simple and accurate partitioned semi-implicit coupling method is proposed based on the artificial compressibility (AC) in this paper. The iterated AC parameter decouples the pressure, end-of-step velocity and structural motion within the characteristic-based split scheme. The present approach is completely matrix-free and has unlimited access to the finite elements. Its performance is demonstrated for an oscillating bluff body subjected to uniform flows.

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A dual time stepping method for fluid–structure interaction problems

Cited by 11 publications

References 17 publications

A free surface flow solver for complex three‐dimensional water impact problems based on the VOF method

A free surface flow solver for complex three‐dimensional water impact problems based on the VOF method

Two-Phase Shrinking Porous Media Drying: A Modeling Approach Including Liquid Pressure Gradients Effects

The use of artificial compressibility to improve partitioned semi-implicit FSI coupling within the classical Chorin–Témam projection framework

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