Immersed boundary method for viscous compressible flows around moving bodies

Khalili, M. Ehsan; Larsson, Martin; Müller, Bernhard

doi:10.1016/j.compfluid.2018.04.033

Cited by 35 publications

(30 citation statements)

References 38 publications

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“…For using a non-conforming Cartesian grid, on the other hand, the immersed boundary method (IBM) has gained attention as an appropriate method for tackling flows with complex-shaped stationary or moving boundaries during last two decades. Applying the advantage of Cartesian grid, in particular, some high-order algorithms for complicated moving problems have been developed [8,9].…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, the sharp-interface IBM can be regard as a discrete forcing approach, in which the boundary is precisely tracked. It includes cut-cell method [17,18], Cartesian IB method [11,19], and ghost-cell method [8,9]. Among these methods, the cut-cell method can obtain the clearest interface.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, boundary conditions can be enforced on body intercept points directly. The flow variables at ghost points are interpolated from corresponding image points and body intercept points [5,8,9,20]. A significant issue of ghost-cell method is the accuracy of the interpolation procedure at image points from corresponding body intercept points and fluid points.…”

Section: Introductionmentioning

confidence: 99%

“…A linear interpolation method was used in [5,11] to reconstruct the values at IB points. Khalili et al [9] used a bilinear interpolation for two-dimensional problems, and Mittal et al [20] used a trilinear interpolation for three-dimensional problems similarly. Higher-order polynomials are required for more accurate results, but they often lead to numerical instabilities, and more information is needed to determine the polynomials.…”

Section: Introductionmentioning

confidence: 99%

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A Sharp-Interface Immersed Boundary Method for Simulating High-Speed Compressible Inviscid Flows

Wang

2020

Preprint

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This paper presents a robust sharp-interface immersed boundary method for simulating inviscid compressible flows over stationary and moving bodies. The flow field is governed by Euler equations, which are solved by using the open source library OpenFOAM. Discontinuities such as those introduced by shock waves are captured by using Kurganov and Tadmor divergence scheme. Wall-slip boundary conditions are enforced at the boundary of body through reconstructing flow variables at some ghost points. Their values are obtained indirectly by interpolating from their mirror points. A bilinear interpolation is employed to determine the variables at the mirror points from boundary conditions and flow conditions around the boundary. To validate the efficiency and accuracy of this method for simulation of high-speed inviscid compressible flows, four cases have been simulated as follows: supersonic flow over a 15\(^\circ\) angle wedge, transonic flow past a stationary airfoil, a piston moving with supersonic velocity in a shock tube and a rigid circular cylinder lift-off from a flat surface triggered by a shock wave. Compared to the exact analytical solutions or the results in literature, good agreement can be achieved.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Sharp-Interface Immersed Boundary Method for Simulating High-Speed Compressible Inviscid Flows

Wang

2020

Preprint

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“…The boundary condition may be represented by inserting body force terms into the cell containing solid so that the nonslip condition will be satisfied . Other methods like the ghost cell approach define a virtual layer of nodes, which are located inside the body and have at least one adjacent cell in the fluid computational domain. The flow field variables at the ghost nodes are computed based on these values at the neighboring cells and the boundary condition applying on the body surface.…”

Section: Introductionmentioning

confidence: 99%

Numerical approach for generic three‐phase flow based on cut‐cell and ghost fluid methods

Dang

Meese

Morud

et al. 2019

Numerical Methods in Fluids

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Summary In this paper, we introduce numerical methods that can simulate complex multiphase flows. The finite volume method, applying Cartesian cut‐cell is used in the computational domain, containing fluid and solid, to conserve mass and momentum. With this method, flows in and around any geometry can be simulated without complex and time consuming meshing. For the fluid region, which involves liquid and gas, the ghost fluid method is employed to handle the stiffness of the interface discontinuity problem. The interaction between each phase is treated simply by wall function models or jump conditions of pressure, velocity and shear stress at the interface. The sharp interface method “coupled level set (LS) and volume of fluid (VOF)” is used to represent the interface between the two fluid phases. This approach will combine some advantages of both interface tracking/capturing methods, such as the excellent mass conservation from the VOF method and good accuracy of interface normal computation from the LS function. The first coupled LS and VOF will be generated to reconstruct the interface between solid and the other materials. The second will represent the interface between liquid and gas.

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Jump‐reduced immersed boundary method for compressible flow

Choung

Saravanan

Lee

2020

Numerical Methods in Fluids

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SummaryThe main challenge of the immersed boundary approach is the proper enforcement of boundary conditions on the body interface without any spurious oscillations, which are induced by the nongrid‐conforming boundary configuration. In this study, a new sharp interface ghost‐cell immersed boundary method (IBM) is proposed for obtaining solutions near the immersed boundary with a high order of accuracy. The main idea is “jump‐reduction” instead of jump‐correction across the boundary interface by combining the ghost‐cell method with the flow reconstruction method. In the proposed IBM, the unknown values at the three points, that is, boundary points, ghost cell, and flow field reconstruction point are solved simultaneously using equations formulated by the moving least‐squares interpolation method. It is a hybrid of ghost‐cell and flow reconstruction methods, correlated with interface values, which result in a reduced jump‐discontinuity. In addition, a discontinuity‐distinguishing algorithm is introduced so that the low‐order method is applied only to the discontinuous or non smooth region, while the current high‐order method is applied elsewhere. Reduced jump‐discontinuity of the proposed IBM has been verified in both subsonic and supersonic flow using fundamental benchmark problems. We observed that the reduced jump‐discontinuity does not hamper the mass conservation and shows even better conservation property than conventional methods due to the nonoscillatory performance in smooth regions. The numerical results further confirm the ability of the proposed IBM to solve complex flow physics with high‐order accuracy and improved stability.

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Immersed boundary method for viscous compressible flows around moving bodies

Cited by 35 publications

References 38 publications

A Sharp-Interface Immersed Boundary Method for Simulating High-Speed Compressible Inviscid Flows

A Sharp-Interface Immersed Boundary Method for Simulating High-Speed Compressible Inviscid Flows

Numerical approach for generic three‐phase flow based on cut‐cell and ghost fluid methods

Jump‐reduced immersed boundary method for compressible flow

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