RT Instability Problem With Rigid Boundary Condition And Numerical Simulation

The problem of Rayleigh-Taylor instability plays a crucial role in ICF(InertialConfinementFusion). In many fields, such as astrophysics, ocean mixed layer,geology, explosion, this problem has important application and significance. Inrecent years, many scholars adopt various computational methods to simulatethis phenomenon, and receive series of numerical results.In this paper, based on some recent methods, we present further research us-ing a system of control equations to describe the state of ?ow field; by consideringrigid boundary condition, we also find the interface nearby the well located to theinitial position, which leads to the whole interface shape changing largely. Onthe other hand, we compare three numerical methods―5rd-WENO, 3rd-WENO,3rd-MCeno, and obtain the advantageous of 3rd-MCeno, which has less runningtime than the other two.In chapter one, we introduce the development of computational ?uid dynam-ics, and some background knowledge.In chapter two, in order to describe high Reynolds number ?ows precisely,the ?ow field has been divided into three sections: inviscid region, viscid-inviscidregion, boundary region. By simplifying Naiver-Stokes equations, get a systemof equations.In chapter three, by comparing with numerical methods 5rd-WENO,3rd-WENO, 3rd-MCenohas showed the validity and advantages with simulating theRT instability.In chapter four, firstly, we compare the results of RT instability on thecondition of slip boundary condition with it on the condition of rigid boundarycondition, which show di?erent ?ow state. Then, numerical example shows thatthe 3rd-MCeno scheme has ability to capture interface and uses less runningtime.