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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.24 No.1
- 발행연도
- 2020.3
- 수록면
- 1 - 22 (22page)
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초록· 키워드
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An accurate and efficient gradient estimation method on unstructured grid is presented by proposing a switching process between two Least-Square methods. Diverse test cases show that the gradient estimation by Least-Square methods exhibit better characteristics compared to Green-Gauss approach. Based on the investigation, switching between the two Least-Square methods, whose merit complements each other, is pursued. The condition number of the Least-Square matrix is adopted as the switching criterion, because it shows clear correlation with the gradient error, and it can be easily calculated from the geometric information of the grid. To illustrate switching process on general grid, condition number is analyzed using stencil vectors and trigonometric relations. Then, the threshold of switching criterion is established. Finally, the capability of Switching Weighted Least-Square method is demonstrated through various two- and three-dimensional applications.
목차
ABSTRACT
1. INTRODUCTION
2. GRADIENT ESTIMATION METHODS
3. ANALYSIS OF PRECEDING APPROACHES
4. LEAST-SQUARE METHOD SWITCHING FUNCTION
5. APPLICATION
6. CONCLUSION
REFERENCES
참고문헌 (18)
참고문헌 신청
D. J. Mavriplis / 2003 / Revisiting the Least-Square Procedure for Gradient Reconstruction on Unstructured Meshes / 18th AIAA CFD conference
B. Diskin / 2011 / Comparison of Node-Centered and Cell-Centered Unstructured Finite Volume Discretization:Inviscid Fluxes / AIAA Journal 4:836~854
C. D. Correa / 2011 / A Comparison of Gradient Estimation Methods for Volume Rendering on Unstructured Meshes / IEEE Transactions on visualization and computer graphics 3:305~319
E. Shima / 2010 / New Gradient Calculation Method for MUSCL Type CFD Schemes in Arbitrary Polyhedra / 48th AIAA Aerospace Sciences Meeting
W. K. Anderson / 1994 / An Implicit Upwind Algorithm for Computing Turbulent Flows on Unstructured Grids / Computers & Fluids 1:1~21
B. Diskin / 2011 / Comparison of Node-Centered and Cell-Centered Unstructured Finite Volume Discretization:Inviscid Fluxes / AIAA Journal 4:836~854
C. D. Correa / 2011 / A Comparison of Gradient Estimation Methods for Volume Rendering on Unstructured Meshes / IEEE Transactions on visualization and computer graphics 3:305~319
E. Shima / 2010 / New Gradient Calculation Method for MUSCL Type CFD Schemes in Arbitrary Polyhedra / 48th AIAA Aerospace Sciences Meeting
W. K. Anderson / 1994 / An Implicit Upwind Algorithm for Computing Turbulent Flows on Unstructured Grids / Computers & Fluids 1:1~21
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UCI(KEPA) : I410-ECN-0101-2020-410-000515155