Detonation Initiation on the Microsecond Time Scale: Comparative One and Two Dimensional DDT Results Obtained from Adaptive Wavelet-Collocation Numerical Methods
نویسندگان
چکیده
Adaptive wavelet-collocation numerical methods (AWCM) for solving the Euler equations for compressible flow with shock discontinuities are described. An algorithm is constructed to add a minimal but sufficient amount of viscosity in the vicinity of steep gradients, based on the behavior of wavelet coefficients there. This selective addition of numerical viscosity minimizes oscillations in the vicinity of shocks found in other numerical methods. AWCM are validated by successful comparison of the numerical solutions with analytical results for several paradigm compressible flow problems. An AWCM solution is given for a thermally initiated DDT in a reactive gas undergoing one step Arrhenius kinetics with a modest activation energy. The solution compares quite favorably with an older result from a MacCormack-based numerical solution.
منابع مشابه
Numerical Modeling of Acoustic Timescale Detonation Initiation Using the Adaptive Wavelet-Collocation Method
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