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Chapter 13 - Complex Geometry

Published online by Cambridge University Press:  05 October 2012

Christopher K. W. Tam
Affiliation:
Florida State University
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Summary

Computationally, there are two general ways to treat problems with complex geometry. One way is to use unstructured grids. The other is to use overset grids. Overset grids are formed by overlapping structured grids. In this chapter, the basic idea of overset grids methodology and its implementation are discussed.

Basic Concept of Overset Grids

To illustrate the basic idea of overset grids, consider the problem of computing the scattering of acoustic waves by a solid cylinder in two dimensions. In the space around the cylinder, the coordinates of choice for computing the solution is the cylindrical polar coordinates centered at the axis of the cylinder. This coordinate system provides a set of body-fitted coordinates and, hence, a body-fitted mesh when discretized around the cylinder. One significant advantage of using a body-fitted grid is the relative ease in enforcing the no-through-flow wall boundary condition using the ghost point method or other methods. Away from the cylinder, acoustic waves propagate with no preferred direction. The natural coordinate system to use is the Cartesian coordinates. Therefore, to take into account the advantages stated, one may use a polar mesh around the cylinder and a Cartesian mesh away from the cylinder with an overlapping mesh region. The overlapping mesh region is for data transfer from one set of grids to the other and vice versa.

Type
Chapter
Information
Computational Aeroacoustics
A Wave Number Approach
, pp. 263 - 297
Publisher: Cambridge University Press
Print publication year: 2012

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  • Complex Geometry
  • Christopher K. W. Tam, Florida State University
  • Book: Computational Aeroacoustics
  • Online publication: 05 October 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511802065.014
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  • Complex Geometry
  • Christopher K. W. Tam, Florida State University
  • Book: Computational Aeroacoustics
  • Online publication: 05 October 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511802065.014
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Complex Geometry
  • Christopher K. W. Tam, Florida State University
  • Book: Computational Aeroacoustics
  • Online publication: 05 October 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511802065.014
Available formats
×