A Petrov-Galerkin method for the solution of the compressible Euler and Navier-Stokes equations is presented. The method is based on the introduction of an anisotropic balancing diffusion in the local direction of the propogation of the scalar variables. The direction in which the diffusion is added and its magnitude are automatically calculated locally using a criterion that is optimal for one-dimensional transport equations. Algorithms are developed using bilinear quadrilateral and linear triangular elements. The triangular elements are used in conjunction with an adaptive scheme using unstructured meshes. Several applications are presented that show the exceptional stability and accuracy of the method, including the ram accelerator concept for the acceleration of projectiles to ultrahigh velocities. Both two-dimensional and axisymmetric models are employed to evaluate multiple projectile configurations and flow conditions.
| Identifer | oai:union.ndltd.org:arizona.edu/oai:arizona.openrepository.com:10150/185417 |
| Date | January 1991 |
| Creators | Brueckner, Frank Peter. |
| Contributors | Heinrich, Juan C., Sears, William R., Balsa, Thomas F., Bayly, Bruce |
| Publisher | The University of Arizona. |
| Source Sets | University of Arizona |
| Language | English |
| Detected Language | English |
| Type | text, Dissertation-Reproduction (electronic) |
| Rights | Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. |
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