This master’s-level thesis work had focused on the boundary treatments for
computational fluid dynamics problems, especially those with unbounded domains.
Therefore, it involved a rigorous literature survey on boundary treatment techniques.
The primary interest in this effort was on one of the emerging concepts of boundary
treatment for numerical schemes, namely the perfectly matched layer (PML) absorbing
technique. PML equations were constructed in both Cartesian and generalized
coordinate systems to widen its application in uniform and non-uniform grid structures.
Throughout the study, Euler equations for perturbation equations linearized about a
uniform mean flow were utilized, and flow that is parallel to an axis and flow that is at an
arbitrary direction were considered. The PML formulation was validated and PML cases
were simulated for a combination of absorbing coefficients and layer thickness in order
to find the optimum performance of the technique. The results were analyzed, and the
issues were documented. Furthermore, PML equations were constructed by splitting the
velocity into three components. Discussion is provided on the need for a proper spacetime
transformation, based on the literature study. / Thesis (M.S.)--Wichita State University, College of Engineering, Dept. of Aerospace Engineering.
| Identifer | oai:union.ndltd.org:WICHITA/oai:soar.wichita.edu:10057/3338 |
| Date | 05 1900 |
| Creators | Velu, Srinivasa Perumal |
| Contributors | Hoffmann, Klaus A. |
| Publisher | Wichita State University |
| Source Sets | Wichita State University |
| Language | en_US |
| Detected Language | English |
| Type | Thesis |
| Format | xv, 121 p., 2140813 bytes, 1843 bytes, application/pdf, text/plain |
| Rights | Copyright Srinivasa Perumal Velu, 2010. All rights reserved |
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