A Conservative Staggered-Grid Chebyshev Multidomain Method for Compressible Flows. II. A Semi-Structured Method

✍ Scribed by David A. Kopriva

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 437 KB
• Volume: 128
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1996.0225

✦ Synopsis

interfaces be conforming means that the subdomains must intersect along an entire side or at a corner point. If two

We present a Chebyshev multidomain method that can solve systems of hyperbolic equations in conservation form on an un-subdomains intersect along a side, then polynomial approxrestricted quadrilateral subdivision of a domain. Within each subdoimation orders must be the same along the interface bemain the solutions and fluxes are approximated by a staggeredtween them [5]. An example of a two-subdomain conformgrid Chebyshev method. Thus, the method is unstructured in terms ing subdivision of a square is shown in Fig. 1a.

of the subdomain decomposition, but strongly structured within

The limits imposed by the conforming restriction make the subdomains. Communication between subdomains is done by a mortar method in such a way that the method is globally conserva-it impossible to do local refinement by subdividing existing tive. The method is applied to both linear and nonlinear test probsubdomains, or by increasing the polynomial order within lems and spectral accuracy is demonstrated.