An immersed boundary method to solve fluid–solid interaction problems

Noor, Dedy Zulhidayat; Chern, Ming‐Jyh; Horng, Tzyy-Leng

doi:10.1007/s00466-009-0384-5

Cited by 44 publications

(35 citation statements)

References 22 publications

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“…With L ¼ 3D, the drag coefficient of upstream cylinder increases and the drag coefficient of the downstream cylinder is positive as shown in Table IV. The present simulations show good agreements with those reported in Meneghini et al (2001) and Noor et al (2009). Meneghini et al (2001) numerically studied the flow in interference between two circular cylinders in tandem and with side-by-side arrangements.…”

Section: Flow Past a Pair Of Tandem Cylinderssupporting

confidence: 90%

An embedding finite element method for viscous incompressible flows with complex immersed boundaries on Cartesian grids

Hsieh

Young

2014

Engineering Computations

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Purpose -The main advantage of the proposed method is that the computations can be performed on a Cartesian grid with complex immersed boundaries (IBs). The purpose of this paper is to device a numerical scheme based on an embedding finite element method for the solution of two-dimensional (2D) Navier-Stokes equations. Design/methodology/approach -Geometries featuring the stationary solid obstacles in the flow are embedded in the Cartesian grid with special discretizations near the embedded boundary to ensure the accuracy of the solution in the cut cells. To comprehend the complexities of the viscous flows with IBs, the paper adopts a compact interpolation scheme near the IBs that allows to satisfy the second-order accuracy and the conservation property of the solver. The interpolation scheme is designed by virtue of the shape function in the finite element scheme. Findings -Three numerical examples are selected to demonstrate the accuracy and flexibility of the proposed methodology. Simulation of flow past a circular cylinder for a range of Re ¼ 20-200 shows excellent agreements with other results using different numerical schemes. Flows around a pair of tandem cylinders and several bodies are particularly investigated. The paper simulates the time-based variation of the flow phenomena for uniform flow past a pair of cylinders with various streamwise gaps between two cylinders. The results in terms of drag coefficient and Strouhal number show excellent agreements with the results available in the literature. Originality/value -Details of the flow characteristics, such as velocity distribution, pressure and vorticity fields are presented. It is concluded the combined embedding boundary method and FE discretizations are robust and accurate for solving 2D fluid flows with complex IBs.

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Section: Flow Past a Pair Of Tandem Cylinderssupporting

confidence: 90%

An embedding finite element method for viscous incompressible flows with complex immersed boundaries on Cartesian grids

Hsieh

Young

2014

Engineering Computations

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“…5 which is the graph for the pressure at the point the front end (F ) and points rear end Rr on the middle ellipse (M ), it shows that the longer the major axis of the ellipse, then the pressure difference between the front and the end point is very small. The amount of pressure that is received at the point of the front end of the central ellipse can be written in mathematical models, namely y F = −2 · 10 −7 x 3 + 3 · 10 −6 x 2 − 2 · 10 −5 x + 2 · 10 −4 (9) and the amount of pressure that is received at the point of the rear end of the central ellipse can be written in mathematical models, namely y R = −3 · 10 −7 x 3 + 5 · 10 −6 x 2 − 3 · 10 −5 x + 2 · 10 −5 (10) where y F is the pressure at the front end point, y R is the pressure at the rear end point, and x is the length of the major axis of the center ellipse. …”

Section: Resultsmentioning

confidence: 99%

Effect of Major Axis Length to the Pressure on Ellips

Imron

Apriliani

2016

IJCSAM

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Abstract-Fluid concept has been widely applied to solve problems of daily life, one example is the problem of fluid flow around an elliptical cylinder. We have a goal to solve the problem of fluid flow through three cylindrical ellipses using side-by-side configuration. The equation we use to solve the problem is the Navier-Stokes equations, incompressible, viscous and unsteady. We use the finite difference method with a uniform grid and SIMPLE (Semi Implicit Method for Pressure-Linked Equations) algorithms. Results of this study were used to obtain the amount of pressure that is received by an ellipse in the middle and to construct mathematical models. The profile of the fluid flow is simulated by varying the length of the major axis of the ellipse in the middle where K/5a = 1.0, 1.1, 1.2, 1.3, 1.4 and 1.5 and Reynolds Re = 3, 000 and the distance between the ellipse is 3.

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“…26 In this way, the immersed boundary is identified by the volume of body function h in the following format h = 1, or the internal layer grid points 0, elsewhere…”

Section: Two Techniques To Resolve Oscillation Phenomena In the Pressmentioning

confidence: 99%

An immersed boundary method with an approximate projection on nonstaggered grids to solve unsteady fluid flow with a submerged moving rigid object

Chen

Zhang

Tang

et al. 2013

Proceedings of the Institution of Mechanical Engineers, Part M:

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An immersed boundary method is presented, which uses an approximate projection method on nonstaggered grids for computing flows with submerged and moving boundaries. The incompressible Navier–Stokes equations are discretized using a second-order accurate finite difference technique on a nonstaggered grid system, and the new immersed boundary method is proposed based on an approximate projection method with two pressure correction techniques, the Armfield method and the geometrical grid Reynolds modified method on nonstaggered grids. By using this method, the results obtained from (1) flow past a rigid cylinder in two dimensions with different Reynold numbers and (2) flow around an oscillatory circular cylinder in flow at low Keulegan–Carpenter numbers are in agreement with the reported experimental and numerical data, demonstrating that this convenient method of constraining the interface is a reliable and robust numerical approach for solving unsteady fluid flow with a submerged moving rigid object. This method has the advantage of using significantly less computation time and lower computation sources than the traditional immersed boundary methods.

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An immersed boundary method to solve fluid–solid interaction problems

Cited by 44 publications

References 22 publications

An embedding finite element method for viscous incompressible flows with complex immersed boundaries on Cartesian grids

An embedding finite element method for viscous incompressible flows with complex immersed boundaries on Cartesian grids

Effect of Major Axis Length to the Pressure on Ellips

An immersed boundary method with an approximate projection on nonstaggered grids to solve unsteady fluid flow with a submerged moving rigid object

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