ANALYTICAL AND NUMERICAL STUDY OF RALEIGHTAYLOR INSTABILITY FOR A THIN LIQUID LAYER
S.M. Bakhrakh, G.P. Simonov VANT. Ser.: Mat. Mod. Fiz. Proc 1997. Вып.1. С. 42.
Using the Lagrangian representation for equations of dynamics of an accelerated thin liquid layer the analytic solutions are found for the problem of RaleighTaylor instability at the process stage nonlinear in the observer’s space. Evolution of various perturbation types in layer shape and component velocities is considered. It is shown that there are both exponentially growing and limited, oscillating solutions. This analysis is also important at consideration of RaleighTaylor instability regarding a relatively thick layer. This is substantiated with the results of numerical studies of compressible ideal fluid semispace interface perturbation evolution. It is noted that there are qualitative differences between the cases when perturbations are given in semispace interface shape and initial velocity form. The work was carried out under the auspices of International Science and Technology Center (grant NM4000) and Russian Fundamental Research Foundation (project N 960100043).
