Development of Implicit Compact Methods for Chemically Reacting Flows

摘要

This project has focused on the design of numerical algorithms that are well suited to the computation of time-dependent chemically reacting flows with finite-rate kinetics and detailed transport. High order compact finite differences have been used to discretize the spatial operators since the spectral-like resolution of the small scales makes it feasible to conduct accurate, long-time computations of multi-dimensional flames burning real fuels. In view of the stiffness of the chemical mechanisms characterizing these fuels, implicit time integration techniques have been employed. The fully coupled implicit-compact solver developed during this grant has been successfully applied to a sequence of test problems, from convection-diffusion equations with analytical solutions to multi-component low-speed heated jet flows in two dimensions to a model premixed flame with two step Arrhenius chemistry.