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A genuinely second-order accurate method for viscous flow computations with complex geometry

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Fifteenth International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 490))

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Abstract

The locally uniform globally unstructured Cartesian grid method, which was demonstrated to maintain its true inherent accuracy for the Euler equations, is applied here to the Navier-Stokes equations. A scheme of Lax-Wendroff type and a conservative interface condition are used in interior regions. A non-slip condition based on bilinear interpolation is applied to treat solid boundaries. The question of mesh refinement instability and global accuracy is discussed for a simplified model equation. A non-isotropic mesh refinement is proposed in order to reduce the number of mesh points while maintaining the resolution of zones with high gradient.

This work was supported by the Chinese National Science Foundation.

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Authors and Affiliations

  1. Institute of Fluid Dynamics, Beijing Univer. of Aero- & Astronautics, 100083, Beijing, China

    Zi-Niu Wu

Authors
  1. Zi-Niu Wu
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Editor information

Paul Kutler Jolen Flores Jean-Jacques Chattot

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© 1997 Springer-Verlag

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Wu, ZN. (1997). A genuinely second-order accurate method for viscous flow computations with complex geometry. In: Kutler, P., Flores, J., Chattot, JJ. (eds) Fifteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107111

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  • DOI: https://doi.org/10.1007/BFb0107111

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63054-8

  • Online ISBN: 978-3-540-69120-4

  • eBook Packages: Springer Book Archive

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