Global Coefficient Adjustment Method for Neumann Condition in Explicit Chebyshev Collocation Method and Its Application to Compressible Navier-Stokes Equations
✍ Scribed by Jian-Ping Wang; Yoshiaki Nakamura; Michiru Yasuhara
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 630 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
The present paper consists of two parts. In part 1, a new technique of treating Neumann boundary conditions with an explicit Chebyshev collocation method is developed. Any Neumann boundary condition can be satisfied by adjusting all the Chebyshev coefficients of a solution, which results in a small influence on the solution and its derivatives except at the boundary. Comparisons between the new technique and several traditional ones are made for a one-dimensional advection-diffusion problem, which confirms the superiority of the new technique. The spectral accuracy of the new technique is also demonstrated. In part 2, a Chebyshev collocation code for the compressible Navier-Stokes equations is developed to solve the high-speed flows around a sphere. Good resolutions are obtained in the boundary layer by using the new technique, and comparison between the calculation and the experiment shows good agreement. (c) 1993 Academic Press, Inc.