A novel stencil selection method for the gradient reconstruction on unstructured grid based on OpenFOAM

Xiong, Min; Deng, Xiaogang; Gao, Xiang; Dong, Yidao; Xu, Chuanfu; Wang, Zhenghua

doi:10.1016/j.compfluid.2018.03.072

Cited by 10 publications

(12 citation statements)

References 17 publications

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“…Apart from two commonly used stencils, in 2018, Xiong et al [20], put forward the local-direction stencil selection method, by which selected stencil cells are along two local directions. As shown in Fig.…”

Section: Stencil Selection Methodsmentioning

confidence: 99%

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Extending the global-direction stencil with “face-area-weighted centroid” to unstructured finite volume discretization from integral form

et al. 2020

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Accuracy of unstructured finite volume discretization is greatly influenced by the gradient reconstruction. For the commonly used k-exact reconstruction method, the cell centroid is always chosen as the reference point to formulate the reconstructed function. But in some practical problems, such as the boundary layer, cells in this area are always set with high aspect ratio to improve the local field resolution, and if geometric centroid is still utilized for the spatial discretization, the severe grid skewness cannot be avoided, which is adverse to the numerical performance of unstructured finite volume solver. In previous work [Kong, et al. Chin Phys B 29(10):100203, 2020], we explored a novel global-direction stencil and combined it with the face-area-weighted centroid on unstructured finite volume methods from differential form to realize the skewness reduction and a better reflection of flow anisotropy. Greatly inspired by the differential form, in this research, we demonstrate that it is also feasible to extend this novel method to the unstructured finite volume discretization from integral form on both second and third-order finite volume solver. Numerical examples governed by linear convective, Euler and Laplacian equations are utilized to examine the correctness as well as effectiveness of this extension. Compared with traditional vertex-neighbor and face-neighbor stencils based on the geometric centroid, the grid skewness is almost eliminated and computational accuracy as well as convergence rate is greatly improved by the global-direction stencil with face-area-weighted centroid. As a result, on unstructured finite volume discretization from integral form, the method also has superiorities on both computational accuracy and convergence rate.

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Section: Stencil Selection Methodsmentioning

confidence: 99%

“…Apart from the mentioned stencil augmentation methods, Xiong et al [20], proposed a local-direction stencil selection method, where stencil cells are augmented along two local directions. In this method, characteristics of the flowfield are taken into account during the process of determining local directions.…”

Section: Introductionmentioning

confidence: 99%

Extending the global-direction stencil with “face-area-weighted centroid” to unstructured finite volume discretization from integral form

et al. 2020

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“…On isotropic triangular grid, the instability of face-neighbor stencil is effectively avoided by this improvement, while if the grid has high aspect ratio, the numerical performance is also unstable and results in the computing divergence [19]. Besides, Xiong [20] et al, propose a local-direction stencil selection method, where stencil cells are augmented along two local directions. In this method, characteristics of the flowfield are taken into account during the process of determining local directions.…”

Section: Introductionmentioning

confidence: 99%

“…Vertex-neighbor and face-neighbor stencils, where different numbers represent stencil layers (e.g., for face-neighbor stencil, the first layer stencil is composed of all cells that share faces with the central cell, and the second layer stencil consists of cells that share faces with the first layer stencil. )Apart from two commonly used stencils, in 2018, Xiong[20] et al, put forward the local-direction stencil selection method, by which selected stencil cells are along two local directions. As shown inFig.…”

mentioning

confidence: 99%

Extending the global-direction stencil with "face-area-weighted centroid" to unstructured finite volume discretization from integral form

Kong

Dong

Liu

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

Accuracy of unstructured finite volume discretization is greatly influenced by the gradient reconstruction. For the commonly used k-exact reconstruction method, the cell centroid is always chosen as the reference point to formulate the reconstructed function. But in some practical problems, such as the boundary layer, cells in this area are always set with high aspect ratio to improve the local field resolution, and if geometric centroid is still utilized for the spatial discretization, the severe grid skewness cannot be avoided, which is adverse to the numerical performance of unstructured finite volume solver. In previous work, we explored a novel global-direction stencil and combine it with face-area-weighted centroid on unstructured finite volume methods from differential form to realize the skewness reduction and a better reflection of flow anisotropy. Note, however, that the differential form is hard to achieve higher-order accuracy, and in order to set stage for the method promotion on higher-order numerical simulation, in this research, we demonstrate that it is also feasible to extend this novel method to the unstructured finite volume discretization in integral form. Numerical examples governed by linear convective, Euler and Laplacian equations are utilized to examine the correctness as well as effectiveness of this extension. Compared with traditional vertex-neighbor and face-neighbor stencils based on the geometric centroid, the grid skewness is almost eliminated and computational accuracy as well as convergence rate is greatly improved by the global-direction stencil with face-area-weighted centroid. As a result, on unstructured finite volume discretization from integral form, the method also has a better numerical performance.

show abstract

“…(a) Vertex-neighbor stencil (b) Face-neighbor stencil Vertex-neighbor and face-neighbor stencils, where different numbers represent stencil layers (e.g., for face-neighbor stencil, the first layer stencil is composed of all cells that share faces with the central cell, and the second layer stencil consists of cells that share faces with the first layer stencil. )Apart from two commonly used stencils, in 2018, Xiong[20] et al, put forward the local-direction stencil selection method, by which selected stencil cells are along two local directions. As shown inFig.…”

mentioning

confidence: 99%

Extending the global-direction stencil with "face-area-weighted centroid" to unstructured finite volume discretization from integral form

Kong

Dong²,

Liu

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

Accuracy of unstructured finite volume discretization is greatly influenced by the gradient reconstruction. For the commonly used k-exact reconstruction method, the cell centroid is always chosen as the reference point to formulate the reconstructed function. But in some practical problems, such as the boundary layer, cells in this area are always set with high aspect ratio to improve the local field resolution, and if geometric centroid is still utilized for the spatial discretization, the severe grid skewness cannot be avoided, which is adverse to the numerical performance of unstructured finite volume solver. In previous work [Chinese Physics B. 2020, In press], we explored a novel global-direction stencil and combined it with the face-area-weighted centroid on unstructured finite volume methods from differential form to realize the skewness reduction and a better reflection of flow anisotropy. Greatly inspired by the differential form, in this research, we demonstrate that it is also feasible to extend this novel method to the unstructured finite volume discretization from integral form on both second and third-order finite volume solver. Numerical examples governed by linear convective, Euler and Laplacian equations are utilized to examine the correctness as well as effectiveness of this extension. Compared with traditional vertex-neighbor and face-neighbor stencils based on the geometric centroid, the grid skewness is almost eliminated and computational accuracy as well as convergence rate is greatly improved by the global-direction stencil with face-area-weighted centroid. As a result, on unstructured finite volume discretization from integral form, the method also has superiorities on both computational accuracy and convergence rate.

show abstract

A novel stencil selection method for the gradient reconstruction on unstructured grid based on OpenFOAM

Cited by 10 publications

References 17 publications

Extending the global-direction stencil with “face-area-weighted centroid” to unstructured finite volume discretization from integral form

Extending the global-direction stencil with “face-area-weighted centroid” to unstructured finite volume discretization from integral form

Extending the global-direction stencil with "face-area-weighted centroid" to unstructured finite volume discretization from integral form

Extending the global-direction stencil with "face-area-weighted centroid" to unstructured finite volume discretization from integral form

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