| Autor: |
J. S. Shang, P. Huang, C. J. Barnes |
| Rok vydání: |
2011 |
| Předmět: |
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| Zdroj: |
49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. |
| DOI: |
10.2514/6.2011-49 |
| Popis: |
A high-resolution numerical simulation procedure to model steep gradient regions such as shock jumps and flame fronts has been used to achieve higher order resolution using an orthogonal polynomial Gauss-Lobatto/Gauss-Radau grid and adaptive polynomial refinement. The algorithm is designed to be computationally stable, accurate, and capable of resolving shock discontinuities. The method was expanded to solve a system of equations such as the Euler equations for compressible flow and results from both a shock tube and shock-acoustic wave were tested. A method for removing Gibbs phenomenon was employed by selectively activating an artificial diffusion term. The algorithm’s first order solution was validated in comparison to a 1st order Roe scheme solution. Polynomial refinement was applied by uniformly increasing the polynomial degree for each cell to produce higher order solutions. Refinement was shown to produce solutions approaching analytical values. Adaptive polynomial refinement may be employed to selectively refine the solution near steep gradient structures and diffusion may be optimized to minimize the diffusivity of the scheme. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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