Numerical Simulation of Fluid-Structure Interaction Using Modified Ghost Fluid Method and Naviers Equations

Liu, T. G.; Ho, J. Y.; Khoo, Boo Cheong; Chowdhury, Avisha

doi:10.1007/s10915-007-9176-2

Cited by 14 publications

(10 citation statements)

References 31 publications

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“…Cottet and Maitre 34 Continuous forcing IBM FDM Diffused momentum forcing Huang and Sung 32 Yu 35 Fictitious domain method Zhang et al 33 FVM Fedkiw 36 Discrete forcing IBM FDM Ghost-fluid interpolation Liu et al 30 FEM Ghost-cell interpolation Mittal et al 31 FDM Degroote et al 37 Quasi-Newton method Li et al 38 Continuous Robin boundary condition Wang et al 27 EBM FVM Fluid-solid Riemann problem Huang et al 28 FIVER Li and Lai 26 IIM FDM Second-order projection method Present work FVM Level set function-based direct application of BCs at interface limited by the difficulty in solving highly nonlinear algebraic system, 24 and ALE methods are limited by the need to remesh and difficulty in handling large deformation. 19 The mesh motion problem observed in ALE is resolved in HLE method using a fixed Eulerian mesh in the fluid, with a special treatment for the cells near the solid-fluid interface.…”

Section: Reference Hle Methods Discretisation Methods Implementation Ofmentioning

confidence: 99%

Level set function–based immersed interface method and benchmark solutions for fluid flexible‐structure interaction

Thekkethil

Sharma

2019

Numerical Methods in Fluids

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Summary Using a hybrid Lagrangian‐Eulerian approach, a level set function–based immersed interface method (LS‐IIM) is proposed for the interaction of a flexible body immersed in a fluid flow. The LS‐IIM involves finite volume method for the fluid solver, Galerkin finite element method for the structural solver, and a block‐iterative partitioned method–based fully implicit coupling between the two solvers. The novelty of the proposed method is a level set function–based direct implementation of fluid‐solid interface boundary conditions in both the solvers. Another novelty is the computation of the level set function from a geometric method instead of differential equations commonly used in level set methods—the novel geometric as compared to the traditional method is found to be more accurate and less time‐consuming. The LS‐IIM is demonstrated as second‐order accurate. Verification study is presented first separately for both the solvers and then together for four fluid‐structure interaction (FSI) problems, with different levels of complexity including lid‐driven flow, channel flow, and free‐stream flow. Benchmark solutions are presented for two class of FSI problems: first, easy to set up and less time‐consuming and, second, a reasonably challenging and complex FSI problem involving sharp edges and forced‐motion of the flexible structure. The benchmark solutions are proposed at steady state for the first problem, after a verification study with two open‐source solvers and, at periodic state, after a validation with published experimental results for the second problem. Our benchmark solutions may be useful for verification study in future.

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Section: Reference Hle Methods Discretisation Methods Implementation Ofmentioning

confidence: 99%

Level set function–based immersed interface method and benchmark solutions for fluid flexible‐structure interaction

Thekkethil

Sharma

2019

Numerical Methods in Fluids

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“…A few of simple applications of GFM for fluid/solid coupling are presented by Fedkiw [33] but GFM is still found to be inaccurate in some situations. To overcome this problem, an essentially MGFM for fluid/elastic solid coupling is proposed and developed by Liu et al [34] by employing Navier equation to solve solid and constructing an approximate Riemann problem at the interface.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Underwater Shock Wave Propagation in the Vicinity of Rigid Wall Based on Ghost Fluid Method

Shi

Huang

Wang

et al. 2015

Shock and Vibration

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This paper presents numerical simulation of underwater shock wave propagation nearby complex rigid wall. The Ghost Fluid Method (GFM) for the treatment of complex rigid wall is developed. The theoretical analysis on the GFM-based algorithm and relevant numerical tests demonstrate that the GFM-based algorithm is first-order accurate as applied to complex rigid wall. A large number of challenging numerical tests show that the GFM-based algorithm is robust and quite simple in various practical problems. The numerical results on shock wave propagation in the vicinity of rigid wall are verified by comparing to exact solution and the results by body-fitted-grid method.

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“…The aim of this work is to develop a new GFM that is completely consistent with the methodology behind central schemes; that is, it enjoys a black box property. The MGFM has been widely used in several problems successfully [10][11][12]. Despite of having similar basics, GFM implementation has many variants.…”

mentioning

confidence: 99%

“…The differences usually come from the way by which the ghost points are populated around the interface. The MGFM has been widely used in several problems successfully [10][11][12]. Such population of ghost points results in the over/underheating during shock reflection of the stationary walls.…”

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confidence: 99%

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A CWENO ghost fluid method for compressible multimaterial flow

Lahooti

Pishevar

2013

Numerical Methods in Fluids

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SUMMARYIn this work a new ghost fluid method (GFM) is introduced for multimaterial compressible flow with arbitrary equation of states. In previous researches, it has been shown that accurate wave decomposition at the interface by solving a Riemann problem alleviates the shortcomings of the standard GFM in dealing with the impingement of strong waves onto the interface but these Riemann‐based GFM are not consistent with the framework of the central WENO scheme in which the emphasis is to avoid solving Riemann problems at control volume faces and enjoy the black box property (being independent of equation of state). The aim of this work is to develop a new GFM that is completely consistent with the methodology behind central schemes; that is, it enjoys a black box property. The capabilities of the proposed GFM method is shown by solving various types of multimaterial compressible flows including gas–gas, gas–water and fluid–solid interfaces interacting with strong shock waves in one and two space dimensions. Copyright © 2013 John Wiley & Sons, Ltd.

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Numerical Simulation of Fluid-Structure Interaction Using Modified Ghost Fluid Method and Naviers Equations

Cited by 14 publications

References 31 publications

Level set function–based immersed interface method and benchmark solutions for fluid flexible‐structure interaction

Level set function–based immersed interface method and benchmark solutions for fluid flexible‐structure interaction

Numerical Simulation of Underwater Shock Wave Propagation in the Vicinity of Rigid Wall Based on Ghost Fluid Method

A CWENO ghost fluid method for compressible multimaterial flow

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