Mesh quality effects on the accuracy of CFD solutions on unstructured meshes

Katz, Aaron; Sankaran, Venkateswaran

doi:10.1016/j.jcp.2011.06.023

Cited by 133 publications

(66 citation statements)

References 20 publications

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“…This third-order scheme was introduced and named the corrected scheme in Refs. [3,13]. The third-order accuracy is confirmed also in [14].…”

Section: Third-order Edge-based Finite-volume Schemesupporting

confidence: 53%

“…As pointed out in Refs. [3,13], the source term must be carefully discretized to achieve the third-order accuracy.…”

Section: Third-order Edge-based Finite-volume Schemementioning

confidence: 99%

“…where V jk ¼ 1 4 Dl jk Á n jk , satisfies the requirement on a regular triangular grid of equilateral triangles [3]. For the regular grid as in Fig.…”

Section: Matching Truncation Error For Third-order Accuracymentioning

confidence: 99%

“…Examples are residual-based compact schemes [1], residual-distribution schemes [2], and the corrected scheme of Katz and Sankaran [3]. These schemes have a common property that the leading truncation error contains the derivatives of the target equations (or the residual), which may be called the residual property.…”

Section: Introductionmentioning

confidence: 99%

“…The technique to ensure the residual property typically depends on the discretization method and the type of equation. For example, the Galerkin-type discretization is proposed to preserve the third-order accuracy of the corrected scheme for equations with source terms [3,5]. The residual-based compact schemes achieve the uniformly high-order accuracy by constructing a dissipation term based on the residual [6].…”

Section: Introductionmentioning

confidence: 99%

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Divergence formulation of source term

Nishikawa

2012

Journal of Computational Physics

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“…This third-order scheme was introduced and named the corrected scheme in Refs. [3,13]. The third-order accuracy is confirmed also in [14].…”

Section: Third-order Edge-based Finite-volume Schemesupporting

confidence: 53%

“…As pointed out in Refs. [3,13], the source term must be carefully discretized to achieve the third-order accuracy.…”

Section: Third-order Edge-based Finite-volume Schemementioning

confidence: 99%

“…where V jk ¼ 1 4 Dl jk Á n jk , satisfies the requirement on a regular triangular grid of equilateral triangles [3]. For the regular grid as in Fig.…”

Section: Matching Truncation Error For Third-order Accuracymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Divergence formulation of source term

Nishikawa

2012

Journal of Computational Physics

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Oxygen Mass Transfer in Biopharmaceutical Processes: Numerical and Experimental Approaches

Seidel

Maschke

Werner

et al. 2020

Chemie Ingenieur Technik

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This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. Dedicated to Prof. Dr.-Ing. Matthias Kraume on the occasion of his 65th birthday Oxygen supply in aerobic bioprocesses is of crucial importance. For this reason, this paper presents the oxygen demand of different cells and summarizes experimental and numerical possibilities for the determination of oxygen transfer in bioreactors. The focus lies on the volumetric oxygen mass transfer coefficient (k L a) calculation using computational fluid dynamics and state-of-the-art models for surface-aerated and forced-aerated bioreactors. In addition, experimental methods for the determination of the k L a value and the gas bubble size distribution are presented.

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Numerical parametric study on the burner arrangement design for hydrogen production in a steam methane reformer

2021

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Summary A numerical parametric study on the burner arrangement design for a steam methane reforming reactor was conducted under three burner configurations: a single co‐axial inside burner (SCIB), a single top burner (STB), and multiple top burners (MTB). The burner combustion gas inlet angle was changed to 25°, 45°, and 90° with respect to the horizontal plane. Moreover, the number of reformer tubes inside the reactor was changed to four, six, and eight tubes arrangements. Furthermore, the models were numerically evaluated for temperature distribution inside the combustion space and hydrogen mole fraction in the reactor by incorporating the Xu and Forment model using a user‐defined function (UDF). The results show that the STB configuration is preferable over the SCIB and MTB configuration due to the uniform temperature distribution inside the combustion space and efficient heating from the combustion gas. Furthermore, the standard deviation of the temperature inside the combustion space was found to be lower for the STB arrangement. Moreover, the STB configuration reported a maximum temperature uniformity index of 0.92 for the eight‐tubes reformer arrangement. The value of the average wall heat transfer coefficient and wall heat flux at the reformer tube surface for STB configuration was 396.6 W/(m2K) and 21.7 W/m2, respectively. The velocity inlet angle of the burner combustion gas also plays an important role in the methane steam reforming reaction. A burner combustion gas inlet angle of 45° was observed to have better hydrogen conversion than the 25° and 90° inlet angles due to the proper mixing, leading to more effective heat transfer to the reformer tubes.

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Mesh quality effects on the accuracy of CFD solutions on unstructured meshes

Cited by 133 publications

References 20 publications

Divergence formulation of source term

Divergence formulation of source term

Oxygen Mass Transfer in Biopharmaceutical Processes: Numerical and Experimental Approaches

Numerical parametric study on the burner arrangement design for hydrogen production in a steam methane reformer

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