Multiscale Stochastic Simulation and Modeling. Final Report. Reporting period January 1, 1990-December 14, 2005.

Glimm, J. ; Li, X.

Technical Information Center Oak Ridge Tennessee

关键词: Instability;    Stochastic processes;    Acceleration;    Rayleigh-Taylor instabilities;    Richtmyer-Meshkov instability;   

RP-ID  :  DE2006862194

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

Acceleration driven instabilities of fluid mixing layers include the classical cases of Rayleigh-Taylor instability, driven by a steady acceleration and Richtmyer-Meshkov instability, driven by an impulsive acceleration. Our program starts with high resolution methods of numerical simulation of two (or more) distinct fluids, continues with analytic analysis of these solutions, and the derivation of averaged equations. A striking achievement has been the systematic agreement we obtained between simulation and experiment by using a high resolution numerical method and improved physical modeling, with surface tension. Our study is accompanies by analysis using stochastic modeling and averaged equations for the multiphase problem. We have quantified the error and uncertainty using statistical modeling methods.