A versatile embedded boundary adaptive mesh method for compressible flow in complex geometry

Al-Marouf, Mohamad; Samtaney, Ravi

doi:10.1016/j.jcp.2017.02.044

Cited by 36 publications

(26 citation statements)

References 77 publications

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“…The overall results at various forced oscillating frequencies are shown in Figure 9, including the root‐mean‐square (r.m.s) values of the lift and drag coefficients, and the average values of the drag coefficient in Figure 9A, and the phase differences of the transverse lift and displacement in Figure 9B, as well as their comparisons with some previous studies 4,65,66 using the IB methods. Most of our present results are in good agreements with the published works.…”

Section: Resultsmentioning

confidence: 90%

“…The key issue of the IB methods is how to model the wall boundary. The initial idea of Peskin 1 can be categorized as a continuous‐forcing, or diffused‐interface method 4 . The interaction of flow field and wall boundary can be treated as body forces in the governing equation, which are obtained through boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

“…This series of works, including the AMR technique 35 and the flow solver for the compressible flow with embedded boundaries, 36 has been integrated as the software Chombo 48 . Coupled with the package of AMR and Godunov scheme in Chombo, Al‐Marouf and Samtaney 4 employed a ghost‐cell method to model the wall boundary and tested the algorithm from subsonic to supersonic flow conditions. As stated by Al‐Marouf and Samtaney, 4 although the mass leakage could not be avoided near the wall boundary, the ghost‐cell method still achieved a good accuracy for the tested problems under the frame of AMR.…”

Section: Introductionmentioning

confidence: 99%

“…Coupled with the package of AMR and Godunov scheme in Chombo, Al‐Marouf and Samtaney 4 employed a ghost‐cell method to model the wall boundary and tested the algorithm from subsonic to supersonic flow conditions. As stated by Al‐Marouf and Samtaney, 4 although the mass leakage could not be avoided near the wall boundary, the ghost‐cell method still achieved a good accuracy for the tested problems under the frame of AMR. Some other investigations using AMR to resolve complex geometries or flow structures can be seen in Aftosmis et al, 49,50 Dadone and Grossman, 51 De Tullio et al, 52 Arslanbekov and Kolobov, 53 and Muralidharan and Menon 54 .…”

Section: Introductionmentioning

confidence: 99%

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Adaptive mesh refinement for simulating fluid‐structure interaction using a sharp interface immersed boundary method

Wang

Sun

2020

Numerical Methods in Fluids

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Summary In this article, adaptive mesh refinement (AMR) is performed to simulate flow around both stationary and moving boundaries. The finite‐difference approach is applied along with a sharp interface immersed boundary (IB) method. The Lagrangian polynomial is employed to facilitate the interpolation from a coarse to a fine grid level, while a weighted‐average formula is used to transfer variables inversely. To save memory, the finest grid is only generated in the local areas close to the wall boundary, and the mesh is dynamically reconstructed based on the location of the wall boundary. The Navier‐Stokes equations are numerically solved through the second‐order central difference scheme in space and the third‐order Runge‐Kutta time integration. Flow around a circular cylinder rotating in a square domain is firstly simulated to examine the accuracy and convergence rate. Then three cases are investigated to test the validity of the present method: flow past a stationary circular cylinder at low Reynolds numbers, flow past a forced oscillating circular cylinder in the transverse direction at various frequencies, and a free circular cylinder subjected to vortex‐induced vibration in two degrees of freedom. Computational results agree well with these in the literature and the flow fields are smooth around the interface of different refinement levels. The effect of refinement level has also been evaluated. In addition, a study for the computational efficiency shows that the AMR approach is helpful to reduce the total node number and speed up the time integration, which could prompt the application of the IB method when a great near‐wall spatial resolution is required.

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Section: Resultsmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Adaptive mesh refinement for simulating fluid‐structure interaction using a sharp interface immersed boundary method

Wang

Sun

2020

Numerical Methods in Fluids

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“…In our results, for example, ∆x/L M ≈ 6.3%, suggesting that the reported value for R M is very sensitive to the method used to measure L M . [14] 0.03 Al-Marouf and Samtaney [39] 0.027…”

Section: Variablementioning

confidence: 99%

A dimensionally split Cartesian cut cell method for the compressible Navier–Stokes equations

Gokhale

Nikiforakis

Klein

2018

Journal of Computational Physics

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We present a dimensionally split method for computing solutions to the compressible Navier-Stokes equations on Cartesian cut cell meshes. The method is globally second order accurate in the L 1 norm, fully conservative, and allows the use of time steps determined by the regular grid spacing. We provide a description of the three-dimensional implementation of the method and evaluate its numerical performance by computing solutions to a number of test problems ranging from the nearly incompressible to the highly compressible flow regimes. All the computed results show good agreement with reference results from theory, experiment and previous numerical studies. To the best of our knowledge, this is the first presentation of a dimensionally split cut cell method for the compressible Navier-Stokes equations in the literature.

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Cell‐based hybrid adaptive mesh refinement algorithm for immersed boundary method

Saravanan

Choung

Lee

2021

Numerical Methods in Fluids

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This article proposes a hybrid adaptive mesh refinement (AMR) algorithm for the immersed boundary method (IBM) combination, and the AMR code is split into mesh and physics codes to optimize each part individually. The uniform parent grid solver is used for AMR grids by constructing hanging cells for the high‐order extension. The restrictive spatial refinement in a fully threaded tree (FTT) data structure is explored, and a simplified stencil search algorithm for hanging cells construction is introduced, including current and following child AMR level cells, if any. The proposed AMR method was applied to IBM, which offers flexibility in treating complex geometries in the Cartesian grid, leading to algorithmic simplicity and computational efficiency. Local near immersed boundary refinement is proposed to avoid complex and computationally expensive IBM and AMR algorithms near the solid bodies. Finally, a high‐order flux scheme extension at AMR level transition cells and the proposed method's applicability for steady and transient flows are demonstrated. Besides state and flux variables storage, the proposed hybrid AMR method's additional cost is 4.5 words/cell instead of 3.5 words/cell for 2D and 3.75 words/cell instead of 2.75 words/cell for 3D compared to the conventional FTT‐based AMR method. By comparing the uniform grid, the AMR final grid distribution shows that the optimal cell distribution based on flow physics reduces the cells required by more than 40% to resolve the complex flow features in less computational time. The enhanced performance and accuracy of the proposed AMR method in resolving different scale flow features are validated through benchmark problems.

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A versatile embedded boundary adaptive mesh method for compressible flow in complex geometry

Abstract: ObjectiveThe Objective is to develop an embedded boundary method under an adaptive mesh refinement framework to compute low and high Mach number compressible Navier Stokes equations in arbitrary complex time dependent geometries on two and three dimensional computational domains.

Cited by 36 publications

References 77 publications

Adaptive mesh refinement for simulating fluid‐structure interaction using a sharp interface immersed boundary method

Adaptive mesh refinement for simulating fluid‐structure interaction using a sharp interface immersed boundary method

A dimensionally split Cartesian cut cell method for the compressible Navier–Stokes equations

Cell‐based hybrid adaptive mesh refinement algorithm for immersed boundary method

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