Immersed boundary method for the simulation of flows with heat transfer

Wang, Zeli; Fan, Jianren; Luo, Kun; Cen, Kefa

doi:10.1016/j.ijheatmasstransfer.2009.03.048

Cited by 93 publications

(53 citation statements)

References 29 publications

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“…13 In the IB-LBM proposed by Suzuki and Inamuro, the distribution function f k and velocity field u are updated only once in steps 11 and 12 after the iterative process between steps 5 and 9.…”

Section: Computeũmentioning

confidence: 99%

“…By using the sum of the forceG n for all the iteration times in Equation 23e, the IB-TLBM successfully satisfies the nonslip boundary condition. The maximum number of iterations N m = 20, following Wang et al 13 …”

Section: Computeũmentioning

confidence: 99%

“…An iterative correction approach was also proposed to satisfy the nonslip boundary condition. [7][8][9] Using the multi-direct forcing scheme proposed by Wang et al, 13 Suzuki and Inamuro reduced the discrepancy between the computed velocity and the desired velocity in the iterative procedure. 7 Kang and Hassan improved the nonslip boundary conditions by iterative correction of both the velocity and the force density based on Guo's external forcing term.…”

Section: Introductionmentioning

confidence: 99%

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Analytical and numerical studies of the boundary slip in the immersed boundary‐thermal lattice Boltzmann method

Seta

Hayashi

Tomiyama

2017

Numerical Methods in Fluids

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We analytically and numerically investigate the boundary slip, including the velocity slip and the temperature jump, in immersed boundary-thermal lattice Boltzmann methods (IB-TLBMs) with the two-relaxation-time collision operator. We derive the theoretical equation for the relaxation parameters considering the effect of the advection velocity on the temperature jump of the IB-TLBMs.The analytical and numerical solutions demonstrate that the proposed iterative correction methods without the computational cost of the sparse matrix solver reduce the boundary slip and boundary-value deviation as effectively as the implicit correction method for any relaxation time. Because the commonly used multi-direct forcing method does not consider the contributions of the body force to the momentum flux, it cannot completely eliminate the boundary slip because of the numerical instability for a long relaxation time. Both types of proposed iterative correction methods are more numerically stable than the implicit correction method. In simulations of flow past a circular cylinder and of natural convection, the present iterative correction methods yield adequate results without the errors of the velocity slip, the temperature jump, and the boundary-value deviation for any relaxation time parameters and for any number of Lagrangian points per length. The combination of the present methods and the two-relaxation-time collision operator is suitable for simulating fluid flow with thermal convection in the multiblock method in which the relaxation time increases in inverse proportion to the grid size.

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Section: Computeũmentioning

confidence: 99%

Section: Computeũmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analytical and numerical studies of the boundary slip in the immersed boundary‐thermal lattice Boltzmann method

Seta

Hayashi

Tomiyama

2017

Numerical Methods in Fluids

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“…Several works exist in the literature regarding extending IBM approaches to solve the energy equation around complex geometries by imposing Dirichlet and Neumann boundary conditions [19][20][21][22][23][24][25][26][27]. Conjugate heat transfer simulations, where the energy equation is also solved inside the immersed body, using IBM were also reported in [28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

A Three-Dimensional, Immersed Boundary, Finite Volume Method for the Simulation of Incompressible Heat Transfer Flows around Complex Geometries

Badreddine¹,

Sato²,

Berger³

et al. 2017

International Journal of Chemical Engineering

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The current work focuses on the development and application of a new finite volume immersed boundary method (IBM) to simulate three-dimensional fluid flows and heat transfer around complex geometries. First, the discretization of the governing equations based on the second-order finite volume method on Cartesian, structured, staggered grid is outlined, followed by the description of modifications which have to be applied to the discretized system once a body is immersed into the grid. To validate the new approach, the heat conduction equation with a source term is solved inside a cavity with an immersed body. The approach is then tested for a natural convection flow in a square cavity with and without circular cylinder for different Rayleigh numbers. The results computed with the present approach compare very well with the benchmark solutions. As a next step in the validation procedure, the method is tested for Direct Numerical Simulation (DNS) of a turbulent flow around a surface-mounted matrix of cubes. The results computed with the present method compare very well with Laser Doppler Anemometry (LDA) measurements of the same case, showing that the method can be used for scale-resolving simulations of turbulence as well.

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“…Typically the LBM uses a bounceback (BB) method to implement the no-slip BC, which requires a Cartesian grid system. For a circular geometry, the BB scheme requires the use of stair-case type profiles to approximate the curved surface, which can lead to the loss of geometric integrity and numerical inaccuracy [12][13][14]. He and Doolen [15] successfully simulated the 2D vortex shedding behind a circular cylinder in a channel at low Re using an interpolation supplemented lattice Boltzmann equation (ISLBE).…”

Section: Introductionmentioning

confidence: 99%

Fluid flow and mass transfer over circular strands using the lattice Boltzmann method

2015

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Immersed boundary method for the simulation of flows with heat transfer

Cited by 93 publications

References 29 publications

Analytical and numerical studies of the boundary slip in the immersed boundary‐thermal lattice Boltzmann method

Analytical and numerical studies of the boundary slip in the immersed boundary‐thermal lattice Boltzmann method

A Three-Dimensional, Immersed Boundary, Finite Volume Method for the Simulation of Incompressible Heat Transfer Flows around Complex Geometries

Fluid flow and mass transfer over circular strands using the lattice Boltzmann method

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