A Non-Dimensional Lattice Boltzmann Method for direct and porous medium model simulations of 240-tube bundle heat exchangers in a solar storage tank

Su, Yan; Davidson, Jane H.

doi:10.1016/j.ijheatmasstransfer.2015.01.109

Cited by 28 publications

(6 citation statements)

References 36 publications

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“…tridiagonal matrix algorithm). We set = 1.0, = .03 (10) Illustration in Figure 3 shows the nonphysical solution of Eq. 3where spurious oscillation occurs due to improper minimization of the number of mesh N. Note that the negative values in Figure 3 are magnified 10 32 times for enhanced visibility; physically correct profile is not supposed to have negative values.…”

Section: Methodology 21 Governing Equation Discretizationmentioning

confidence: 99%

“…For decades, mesh type issues and their selection have been seriously discussed in computational fluid dynamics (CFD) community due to its importance in numerically solving a governing equation. Mesh scheme effectiveness in the computation time reduction and its influence on numerical accuracy are among the major concerns [5][6][7][8][9][10][11][12][13][14][15]. Popular mesh concepts may involve two-mesh schemes [16][17], refinement or un-refinement of mesh [18], mesh number minimization [19], methods of multimesh [20][21][22][23][24][25][26], and spurious oscillation [27].…”

Section: Mesh Issuesmentioning

confidence: 99%

“…Lattice Boltzmann scheme (LBS) performs at a similar level as Lax-Wendroff scheme of the onestep second-order with respect to simulation time decrease [5,10]. The scheme is even better than that of projection method based finite difference.…”

Section: Mesh Issuesmentioning

confidence: 99%

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Relationship between Mesh Number and Singular Perturbation Parameter for the Solution of Singularly Perturbed Two-Point Boundary Value Problem

Abdullah¹

2020

CFDL

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There is a considerable discussion in computational fluid dynamics over the mesh structure problems for the numerical computation. Due to wide range of mesh schemes proposed by fluid dynamists, there is sometimes confusion over the correct scheme for certain problem. Furthermore, some schemes, if improperly used, can lead to nonphysical solution. We emphasize in this paper the importance of the mesh structure and singular perturbation parameter relationship in numerical solution of a singularly perturbed two-point boundary value problem. Based on the perturbation parameter, we particularly suggest a systematic technique in setting the mesh number. This is done by adopting mesh of Shishkin type. It becomes clear that the parameters of interest are linearly related. Since it is necessary to have a decision-making that is more structured, and reduce heuristic error in mesh of computational domain determination, such relationship serves as a guideline for the numerical solution of a singularly perturbed problem that is physically correct.

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Section: Methodology 21 Governing Equation Discretizationmentioning

confidence: 99%

Section: Mesh Issuesmentioning

confidence: 99%

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Relationship between Mesh Number and Singular Perturbation Parameter for the Solution of Singularly Perturbed Two-Point Boundary Value Problem

Abdullah¹

2020

CFDL

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“…There are major issues on mesh structures that draw research attentions. These include the influence of mesh on numerical accuracy and mesh's effectiveness in reducing the computation time [5][6][7][8][9][10][11][12][13][14][15][16][17] in solving a governing equation. Minimization of mesh number, mesh refinement or unrefinement, two-mesh schemes [17][18][19], multimesh methods [20][21][22][23][24][25], and spurious oscillation [26] are among mesh concepts that receive wide attentions in the research field.…”

Section: Issues On Mesh Structuresmentioning

confidence: 99%

Comparative Study of the Condition for Non-Oscillatory Solution of a Singularly Perturbed Problem on Uniform and Piecewise-Uniform Meshes

Abdullah¹

2020

CFDL

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Wide range of mesh types are proposed in computational fluid dynamics which in turn initiate further discussions over problems of their structure in the numerical computation of fluid flows. Nevertheless, such discussions might sometimes lead to illfitted choices of mesh for specific problem. Some types, if improperly used, can cause spurious oscillation in the solutions of governing equations. Furthermore, the contribution of mesh and flow parameters in predicting spurious oscillation free solutions has been much-debated topic over the last decades. Comparison was made in this research between uniform and piecewise-uniform meshes in accentuating the significance of the mesh structure and singular perturbation parameter connection in numerical solution of a singularly perturbed problem. A systematic technique was particularly applied in setting both the singular perturbation parameter and mesh number. Based on the a priori formulation, the condition to avoid spurious oscillatory solutions on the two types of mesh which depends on the parameters of interest is presented in this paper. This was done by adopting reasonable mesh interval sizes. The results of the test cases affirmed the consistency of the condition. It becomes clear that, in general both parameters of interest are linearly related in each case, and the piecewise-uniform mesh number is doubled that of the uniform mesh in order to obtain realistic solution.

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“…They pointed that the oscillation and oscillating rotation of 2443 Lattice Boltzmann simulation heating impeller will lead to an efficient heat transfer. Su and Davidson (2015) numerically simulated the natural convection of hundreds cylindrical tube bundle heat exchangers in a solar storage tank using a non-dimensional LBM. Transient flow and heat transfer distributions show that an increasing pitch or equivalently the porosity will greatly enhance the heat transfer rate.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann simulation of transient natural convection of air in square cavity under a magnetic quadrupole field

Xie

Yao

et al. 2016

HFF

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Purpose The purpose of this paper is to apply the lattice Boltzmann method (LBM) with multiple distribution functions model, to simulate transient natural convection of air in a two-dimensional square cavity in the presence of a magnetic quadrupole field, under non-gravitational as well as gravitational conditions. Design/methodology/approach The density-temperature double distribution functions and D2Q9 model of LBM for the momentum and temperature equations are currently employed. Detailed transient structures of the flow and isotherms at unsteady state are obtained and compared for a range of magnetic force numbers from 1 to 100. Characteristics of the natural convection at initial moment, quasi-steady state and steady state are presented in present work. Findings At initial time, effects of the magnetic field and gravity are both relatively limited, but the effects become efficient as time evolves. Bi-cellular flow structures are obtained under non-gravitational condition, while the flow presents a single vortex structure at first under gravitational condition, and then emerges a bi-cellular structure with the increase of magnetic field force number. The average Nusselt number generally increases with the augment of magnetic field intensity. Practical implications This paper will be useful in the researches on crystal material and protein growth, oxygen concentration sensor, enhancement or suppression of the heat transfer in micro-electronics and micro-processing technology, etc. Originality/value The current study extended the application of LBM on the transient natural convective problem of paramagnetic fluids in the presence of an inhomogeneous magnetic field.

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A Non-Dimensional Lattice Boltzmann Method for direct and porous medium model simulations of 240-tube bundle heat exchangers in a solar storage tank

Cited by 28 publications

References 36 publications

Relationship between Mesh Number and Singular Perturbation Parameter for the Solution of Singularly Perturbed Two-Point Boundary Value Problem

Relationship between Mesh Number and Singular Perturbation Parameter for the Solution of Singularly Perturbed Two-Point Boundary Value Problem

Comparative Study of the Condition for Non-Oscillatory Solution of a Singularly Perturbed Problem on Uniform and Piecewise-Uniform Meshes

Lattice Boltzmann simulation of transient natural convection of air in square cavity under a magnetic quadrupole field

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