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A Staggered-Grid Multidomain Spectral Method for the Compressible Navier–Stokes Equations

✍ Scribed by David A. Kopriva

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
621 KB
Volume
143
Category
Article
ISSN
0021-9991

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✦ Synopsis

We present a flexible, non-conforming staggered-grid Chebyshev spectral multidomain method for the solution of the compressible Navier-Stokes equations. In this method, subdomain corners are not included in the approximation, thereby simplifying the subdomain connectivity. To allow for local refinement of the polynomial order or subdomain subdivision, non-conforming subdomains are treated by a mortar method. Spectral accuracy is shown in one-and two-dimensional linear and nonlinear problems. Application is made to four compressible flow problems: the Couette flow, a steady boundary layer over a flat plate, steady transonic flow in a nozzle, and unsteady flow over a cylinder at a Reynolds number of 75.

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