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The Finite Volume Diffusion Method on Nonmatched Polygonal Meshes Suited for the Lagrangian Slide Lines Calculation

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Properties and Characterization of Modern Materials

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 33))

Abstract

An efficient diffusion finite volume method on nonmatched polygonal meshes suited for fluid slide line calculation is proposed. The method manages the sliding meshes and the internal meshes unifying as arbitrary polygonal meshes, takes the hanging-nodes on slip-lines naturally as the nodes of the polygon, and constructs unified diffusion schemes with high accuracy and highly efficient solving algorithms. Furthermore, the radiation diffusion code on unstructured polygonal meshes has been developed and coupled with the hydrocode. Numerical results show the validity of the radiation diffusion computational method for Lagrangian slide lines calculation on nonmatched polygonal meshes.

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Acknowledgment

This work was partially supported by the National Nature Science Foundation of China(11201035,11372051), and the Science and Technology Development Foundation of CAEP (2015B0202045).

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Correspondence to Xuezhe Liu .

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Liu, X., Lin, Z., Wang, R. (2017). The Finite Volume Diffusion Method on Nonmatched Polygonal Meshes Suited for the Lagrangian Slide Lines Calculation. In: Öchsner, A., Altenbach, H. (eds) Properties and Characterization of Modern Materials . Advanced Structured Materials, vol 33. Springer, Singapore. https://doi.org/10.1007/978-981-10-1602-8_11

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  • DOI: https://doi.org/10.1007/978-981-10-1602-8_11

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-1601-1

  • Online ISBN: 978-981-10-1602-8

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