Two component gas-kinetic scheme for reactive flows

The development of gas-kinetic scheme for the compressible flow simulations has attracted much attention and becomes mature in the past years. Even though nonreactive flow problems can be accurately simulated by the shock-capturing schemes, however it is not straightforward to extend this success to the calculation of chemical reactive flow. This thesis aims at extending the gas-kinetic scheme to the chemical reactive flow. Two numerical methods are presented. The first one is called level set BGK scheme, in which the BGK solver is augmented by the level set function to track interface between different component. The second approach is the multicomponent BGK scheme, which follows the evolution of each species respectively. As a result, for the nonreactive multiphase flow, the individual mass, total momentum, total energy are conserved. In the reactive case, one component can be transferred into another component according to reactive rule and the reaction is associated with the energy release. Both schemes are extensively tested. All test cases validate the robustness and accuracy of the kinetic methods in the chemical reactive flow simulation