Simulations of laminar and turbulent flows over periodic hills with immersed boundary method

Chang, Po-Yao; Liao, Chuan-Chieh; Hsu, Hsin-Wei; Liu, Shih-Huang; Lin, Chao-An

doi:10.1016/j.compfluid.2013.10.043

Cited by 21 publications

(16 citation statements)

References 30 publications

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“…42 The powerlaw model with n = 7 and constant A = 8.3 was used, for example, by Werner and Wengle 43 in LES. The power-law model of Werner and Wengle 43 was used in the work of Chang et al 44 for the prediction of turbulent flows over periodic hills in LES using an IBM on a Cartesian grid. Results similar to those obtained with a TBLE were observed.…”

Section: A Velocity Profile In a Turbulent Boundary Layermentioning

confidence: 99%

An explicit power-law-based wall model for lattice Boltzmann method–Reynolds-averaged numerical simulations of the flow around airfoils

2018

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In this paper, an explicit wall model based on a power-law velocity profile is proposed for the simulation of the incompressible flow around airfoils at high Reynolds numbers. This wall model is particularly suited for the wall treatment involved in Cartesian grids. Moreover, it does not require an iterative procedure for the friction velocity determination. The validation of this power-law wall model is assessed for Reynolds-averaged Navier-Stokes simulations of the flow around a two-dimensional airfoil using the lattice Boltzmann approach along with the Spalart-Allmaras turbulence model. Good results are obtained for the prediction of the aerodynamic coefficients and the pressure profiles at two Reynolds numbers and several angles of attack. The explicit power-law is thus well suited for a simplified near-wall treatment at high Reynolds numbers using Cartesian grids.

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Section: A Velocity Profile In a Turbulent Boundary Layermentioning

confidence: 99%

An explicit power-law-based wall model for lattice Boltzmann method–Reynolds-averaged numerical simulations of the flow around airfoils

2018

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“…Wall modeling technique is adopted in the treatment of the immersed lower and upper walls of the channel. A 150 × 96 × 64 mesh with Δ x / H = 0.06, Δ y / H = 0.032, and Δ z / H = 0.071 is used, which is compatible to that used by Chang et al The total number of the computational nodes is 836 352 in this work, whereas the body‐fitted mesh used in the highly wall‐resolved LES of Fröhlich et al consists of 4 571 136 nodes. A simulation on the same mesh without wall model is also performed in this test case to highlight the importance of the wall modeling technique and it is labeled as “LES/DFD” in the figures.…”

Section: Numerical Experimentsmentioning

confidence: 99%

“…The referenced data for comparison include the wall‐resolved LES results of Fröhlich et al, the wall‐modeled LES results of Chen et al and Chang et al using the IB methods, and the experimental data of Rapp…”

Section: Numerical Experimentsmentioning

confidence: 99%

“…In Figure , mean velocities in streamwise and vertical directions, Reynolds shear stresses, and turbulent kinetic energy

k = \frac{1}{2} ((), u^{' 2} + v^{' 2} + w^{' 2})

at 10 locations are compared with the experimental data of Rapp . The LES results of Chang et al, which are obtained by the same wall model but different IB method, are also plotted in the figures. The mean streamwise and vertical velocities in wall‐model case agree better with the experimental results than those in the nonwall‐model case.…”

Section: Numerical Experimentsmentioning

confidence: 99%

“…Applications of this model were presented by Cristallo and Verzicco, where the detailed finite difference implementation is discussed. Chang et al investigated the turbulent flows over periodic hills by using LES‐IB method with several wall models and found that, among the wall models, the TBLE‐based one performed best. For exact mass conservation, Chen et al analyzed the performance of a TBLE‐based wall model in the framework of the finite volume approach combined with the cut‐cell method of Meyer et al In the work of Nam and Lien, large‐eddy simulations of high Reynolds number flows are carried out by the authors using a Cartesian cut‐cell method in conjunction with a wall model.…”

Section: Introductionmentioning

confidence: 99%

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Extension of the local domain‐free discretization method to large eddy simulation of turbulent flows

Zhou

2019

Numerical Methods in Fluids

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Summary In this work, an immersed boundary method, called the local domain‐free discretization (DFD) method, is extended to large eddy simulation (LES) of turbulent flows. The discrete form of partial differential equations at an interior node may involve some nodes outside the solution domain. The flow variables at these exterior dependent nodes are evaluated via linear extrapolation along the direction normal to the wall. To alleviate the requirement of mesh resolution in the near‐wall region, a wall model based on the turbulence boundary layer equations is introduced. The wall shear stress yielded by the wall model and the no‐penetration condition are enforced at the immersed boundary to evaluate the velocity components at an exterior dependent node. For turbulence closure, a dynamic subgrid scale (SGS) model is adopted and the Lagrangian averaging procedure is used to compute the model coefficient. The SGS eddy viscosity at an exterior dependent node is set to be equal to that at the outer layer. To maintain the mass conservation near the immersed boundary, a mass source/sink term is added into the continuity equation. Numerical experiments on relatively coarse meshes with stationary or moving solid boundaries have been conducted to verify the ability of the present LES‐DFD method. The predicted results agree well with the published experimental or numerical data.

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Periodic hill flow simulations with a parameterized cumulant lattice Boltzmann method

Gehrke

Rung

2022

Numerical Methods in Fluids

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The article is concerned with the assessment of a cumulant lattice Boltzmann method in wall‐bounded, separated turbulent shear flows. The approach is of interest for its resolution‐spanning success in turbulent channel flows without using a specific turbulence treatment. The assessment focuses upon the flow over a periodic hill, which offers a rich basis of numerical and experimental data, for Reynolds numbers within 700≤Re≤37,000. The analysis involves the mean flow field, second moments and their invariants, as well as spectral data obtained for a wide range of resolutions with 2≲Δxi+≲100. With the emphasis on a recently published parameterized cumulant collision operator, the universality of the value assigned to a stability preserving regularization parameter is assessed. Reported results guide resolution‐dependent optimized values and indicate a required minimum resolution of Δxi+≈30. Analog to the findings for attached turbulent shear flows, the approach appears to adequately resolve complex turbulent flows without the need for ad hoc modeling for a range of scale resolving resolutions.

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Simulations of laminar and turbulent flows over periodic hills with immersed boundary method

Cited by 21 publications

References 30 publications

An explicit power-law-based wall model for lattice Boltzmann method–Reynolds-averaged numerical simulations of the flow around airfoils

An explicit power-law-based wall model for lattice Boltzmann method–Reynolds-averaged numerical simulations of the flow around airfoils

Extension of the local domain‐free discretization method to large eddy simulation of turbulent flows

Periodic hill flow simulations with a parameterized cumulant lattice Boltzmann method

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