A local directional ghost cell approach for incompressible viscous flow problems with irregular boundaries

Berthelsen, Petter Andreas; Faltinsen, Odd M.

doi:10.1016/j.jcp.2007.12.022

Cited by 173 publications

(111 citation statements)

References 83 publications

(145 reference statements)

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“…2. These results show good agreement with similar predictions in literature, 27,28 which the interested reader may consult. …”

Section: A Subsonic and Transonic Flows Past A Circular Cylindersupporting

confidence: 92%

Numerical simulation of liquid sloshing in a partially filled container with inclusion of compressibility effects

Chen¹,

Price²

2009

Physics of Fluids

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A numerical scheme of study is developed to model compressible two-fluid flows simulating liquid sloshing in a partially filled tank. For a two-fluid system separated by an interface as in the case of sloshing, not only a Mach-uniform scheme is required but also an effective way to eliminate unphysical numerical oscillations near the interface. By introducing a preconditioner, the governing equations expressed in terms of primitive variables are solved for both fluids ͑i.e., water, air, gas, etc.͒ in a unified manner. In order to keep the interface sharp and to eliminate unphysical numerical oscillations in unsteady fluid flows, the nonconservative implicit split coefficient matrix method is modified to construct a flux-difference splitting scheme in the dual-time formulation. The proposed numerical model is evaluated by comparisons between numerical results and measured data for sloshing in an 80% filled rectangular tank excited at resonance frequency. Through similar comparisons, the investigation is further extended by examining sloshing flows excited by forced sway motions in two different rectangular tanks with 20% and 83% filling ratios. These examples demonstrate that the proposed method is suitable to capture induced free surface waves and to evaluate sloshing pressure loads acting on the tank walls and ceiling.

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“…2. These results show good agreement with similar predictions in literature, 27,28 which the interested reader may consult. …”

Section: A Subsonic and Transonic Flows Past A Circular Cylindersupporting

confidence: 92%

Numerical simulation of liquid sloshing in a partially filled container with inclusion of compressibility effects

Chen¹,

Price²

2009

Physics of Fluids

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“…The heart valve is modeled by a chain of rigid linkages, joined by hinges along with torsional compliance. The set of implicit equations for the discretized FSI problem can be symbolically represented by 8) where the first equation is the discretized structural dynamic equation and the second equation is the fluid solver. At the time step t n+1 , the input of the structural equation is the fluid pressure, p n+1 , while the output is the interface position, x n+1 .…”

Section: Second-order Accuracy Without Sub-iterationsmentioning

confidence: 99%

Numerical Methods for Fluid-Structure Interaction — A Review

Hou

Wang

Layton

2012

Commun. comput. phys.

542

283

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Abstract. The interactions between incompressible fluid flows and immersed structures are nonlinear multi-physics phenomena that have applications to a wide range of scientific and engineering disciplines. In this article, we review representative numerical methods based on conforming and non-conforming meshes that are currently available for computing fluid-structure interaction problems, with an emphasis on some of the recent developments in the field. A goal is to categorize the selected methods and assess their accuracy and efficiency. We discuss challenges faced by researchers in this field, and we emphasize the importance of interdisciplinary effort for advancing the study in fluid-structure interactions.

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“…results (Berthelsen and Faltinsen 2008;Russel and Wang 2003;Linnick and Fasel 2005;Herfjord 1996;Calhoun 2002;Medjroubi 2011;Coutanceau and Bouard 1977;Tritton 1959). In order to compare the efficiency of the present method concerning other numerical methods, the average of error in other numerical results is calculated.…”

Section: Algorithm Validationmentioning

confidence: 99%

Detailed Numerical Study on the Aerodynamic Behavior of a Gurney Flapped Airfoil in the Ultra-low Reynolds Regime

Khoshlessan¹,

Karimian²

2017

J.Aerosp. Technol. Manag.

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The addition of Gurney flap changes the nature of flow around airfoil by producing asymmetric VonKarman vortex in its wake. Most of the investigations on Gurney flapped airfoils have modeled the flow using a quasisteady approach, resulting in time-averaged values with no information on the unsteady features of the flow. Among these, some investigations have shown that quasi-steady approach does a good job on predicting the aerodynamic coefficients and physics of flow. Previous studies on Gurney flap have shown that the calculated aerodynamic coefficients such as lift and drag coefficients from quasi-steady approach are in good agreement with the time averaged values of these quantities in time accurate computations. However, these investigations were conducted in regimes of medium to high Reynolds numbers where the flow is turbulent. Whether this is true for the regime of ultra-low Reynolds number is open to question. Therefore, it is deemed necessary to examine the previous investigations in the regime of ultra-low Reynolds numbers. The unsteady incompressible laminar flow over a Gurney flapped airfoil is investigated using three approaches; namely unsteady accurate, unsteady inaccurate, and quasisteady. Overall, all the simulations showed that at ultra-low Reynolds numbers quasi-steady solution does not necessarily have the same correlation with the time averaged results over the unsteady accurate solution. In addition, it was observed that results of unsteady inaccurate approach with very small time steps can be used to predict time-averaged quantities fairly accurate with less computational cost.

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A local directional ghost cell approach for incompressible viscous flow problems with irregular boundaries

Cited by 173 publications

References 83 publications

Numerical simulation of liquid sloshing in a partially filled container with inclusion of compressibility effects

Numerical simulation of liquid sloshing in a partially filled container with inclusion of compressibility effects

Numerical Methods for Fluid-Structure Interaction — A Review

Detailed Numerical Study on the Aerodynamic Behavior of a Gurney Flapped Airfoil in the Ultra-low Reynolds Regime

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