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Research on mesh partition algorithm of unstructured high-order method with complex reconstruction template

Published: 10 October 2022 Publication History

Abstract

High-order method on unstructured mesh has been a focus research topic around the world in recent twenty to thirty years, and it has achieved fruitful results. Because its amount of calculation per mesh cell is huge compared with the traditional second-order finite volume method, its parallel calculation is very necessary. In view of the complex reconstruction templates used by the classical second-order finite volume method based on Green-Gauss-node reconstruction algorithm, high-order finite volume method and high-order discontinuous Galerkin method/finite volume method hybrid methods, the traditional template cells search method based on one-to-one cell mapping on both sides of a partition interface has limitations. Therefore, this paper develops the cell-based parallel communication data structure and improves the parallel mesh partition algorithm to ensure the consistency of template cells between parallel computing and serial computing. The robustness of the calculation is improved, and the CPU time used in the pre-processing stage can be greatly reduced.

References

[1]
Lubov Marenina, Yuri Galerkin, Kristina Soldatova. 2018. Computational Fluid Dynamics Application for Analysis of Centrifugal Compressor Stage Stator Part. Int. J. Mech. Engineering and Robotics Research, 7(6), 656-661.
[2]
Ahmad Shawaqfeh, Ghani Albaali. 2020. Using Computer Simulation in the Study of Heating and Cooling of Liquid Model Using Computational Fluid Dynamics. Int. J. Mech. Engineering and Robotics Research, 9(6), 830-834.
[3]
Aftosmis M., Gaitonde D., Tavares T.S. 1995. Behavior of Linear Reconstruction Techniques on Unstructured Meshes. AIAA J. 33(11): 2038–2049
[4]
Reed, W.H., Hill, T.R. 1973. Triangular Mesh Methods for Neutron Transport Equation. Tech. Report LA-UR-73-479, Los Alamos Scientific Laboratory
[5]
Cockburn, B., Shu, C.W. 1998. The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws, V: Multidimensional Systems. J. Comput. Phys. 141, 199–224
[6]
Zhu J., Qiu J. X., Shu C.W., Michael Dumbser. 2008. Runge–Kutta Discontinuous Galerkin Method Using WENO Limiters II: Unstructured Meshes. J. Comput. Phys. 227, 4330–4353
[7]
Dinshaw S. Balsara, Christoph Altmann, Claus-Dieter, Munz, Michael Dumbser. 2007. A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes. J. Comput. Phys. 226, 586–620
[8]
A. Harten, B. Engquist, S. Osher, S. Chakravarthy. 1987. Uniformly high order essentially non-oscillatory schemes, III. J. Comput. Phys. 71, 231
[9]
R. Abgrall, 1994. On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation. J. Comput. Phys. 114, 45
[10]
Hu C. Q., Shu C.W. 1999. Weighted Essentially Non-oscillatory Schemes on Triangular Meshes. J. Comput. Phys. 150, 97–127
[11]
Zhu J., Qiu J. X. 2009. Hermite WENO Schemes and Their Application as Limiters for Runge-Kutta Discontinuous Galerkin Method, III: Unstructured Meshes. J. Sci. Comput. 39, 293–321
[12]
Zhang L., Liu W., Li M. 2014. A class of DG/FV hybrid schemes for conservation law IV: 2D viscous flows and implicit algorithm for steady cases. Computers & Fluids, 97(6), 110-125
[13]
Shivakumar Vasmate. 2014. Computational Fluid Dynamics (CFD) Analysis of Intermediate Pressure Steam Turbine. Int. J. Mechanical Engineering and Robotics Research, 3(4), 459-470
[14]
Mukund Y Pande, Atul Patil. 2014. Computational Fluid Dynamics on Different Passages over a Plate Coil Evaporator for 40 Liter Storage Type Water Cooler. Int. J. Mechanical Engineering and Robotics Research, 3(4), 16-23
[15]
George Karypis.2011. METIS A Software Package for Partitioning Unstructured Graphs, Partitioning Meshes, and Computing Fill-Reducing Orderings of Sparse Matrices Version 5.0. Department of Computer Science & Engineering University of Minnesota Minneapolis, MN 55455
[16]
Sonar T. 1997. On the Construction of Essentially Non-Oscillatory Finite Volume Approximations for Hyperbolic Conservation Laws on General Triangulations. Comput. Methods Appl. Mech. Eng. 140, 157-181

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    HPCCT '22: Proceedings of the 2022 6th High Performance Computing and Cluster Technologies Conference
    July 2022
    68 pages
    ISBN:9781450396646
    DOI:10.1145/3560442
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    Published: 10 October 2022

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    Author Tags

    1. complex reconstruction template
    2. discontinuous Galerkin method
    3. finite volume method
    4. high-order method
    5. hybrid DG/FV method
    6. mesh partition
    7. unstructured mesh

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