Parallel Multi-Scale Algorithms and Applications to Combustion and Turbulence.
Final rept. 1 Jun 94-31 May 96,
NORTH CAROLINA UNIV AT CHARLOTTE DEPT OF MATHEMATICS
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In this Project, the main objective was to develop multiresolution wavelet algorithm to study the flame acceleration and to understand the mechanism of the transition of deflagration to detonation. In the first half year of the project. The author completed the study of two dimensional detonation waves based on hybrid high order methods a combination of high order Essentially Non-oscillatory ENO methods and spectral methods and Shock Tracking methods. The result on the detonation waves was published in the AIAA Journal. In the remaining time of the two years, first, the author completed the theoretical and algorithmic studies of the adaptive wavelet method, which could handle nonperodic boundary conditions and nonlinear time dependent PDEs. Secondly, the author implemented the adaptive wavelet methods for the solution of one-dimensional flame propagation thirdly, the author developed a Fortran code WL2D more than 13,000 lines for the two dimensional multi-scale wavelet algorithms with an efficient data structure and implemented a second order implicit factorized scheme for the adaptive wavelet methods.
- Computer Programming and Software
- Combustion and Ignition