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High Performance Scientific And Engineering Computing pp 167–174Cite as

A Variable Order Method of Lines: Accuracy, Conservation and Applications

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 21))

Abstract

The variable order method of lines is presented for the DNS of incompressible flows. The present method is constructed by the spatial discretization, i.e., the variable order proper convective scheme and modified differential quadrature method, and time integration. The accuracy and conservation property are validated in the 2D Taylor-Green solutions and 3D homogeneous isotropic turbulence. As applications, the flows around a circular cylinder and a sphere are simulated by using Cartesian grid approach with virtual boundary method. Consequently, the present method is very promising for the DNS of the incompressible flows

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References

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Authors and Affiliations

  1. Kyoto Institute of Technology, Kyoto 606-8585, Sakyo-ku, Matsugasaki, Japan

    H Nishida & N. Satofuka

Authors
  1. H Nishida
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  2. N. Satofuka
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Editors and Affiliations

  1. Lehrstuhl für Strömungsmechanik (LSTM), Friedrich-Alexander-Universität Erlangen-Nürnberg, Cauerstraße 4, 91058, Erlangen, Germany

    Michael Breuer  & Franz Durst  & 

  2. Institut für Informatik, Technische Universität München, 80290, München, Germany

    Christoph Zenger

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© 2002 Springer-Verlag Berlin Heidelberg

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Nishida, H., Satofuka, N. (2002). A Variable Order Method of Lines: Accuracy, Conservation and Applications. In: Breuer, M., Durst, F., Zenger, C. (eds) High Performance Scientific And Engineering Computing. Lecture Notes in Computational Science and Engineering, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55919-8_19

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  • DOI: https://doi.org/10.1007/978-3-642-55919-8_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42946-3

  • Online ISBN: 978-3-642-55919-8

  • eBook Packages: Springer Book Archive

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