This project's objective is to improve the accuracy and efficiency of numerical simulation for realistic combustion. It will also enhance the capability to solve three-dimensional, time-dependent, turbulent problems with chemical reactions using the application of parallel multilevel adaptive methods. These simulations are severely limited by the capabilities of currently available computers. The approach is based on a staggered grid, high-order finite-volume method and a fully implicit time-stepping scheme for better accuracy and stability. Also, a distributive relaxation multigrid method will accelerate the convergence process, a dynamic multilevel adaptive grid generation scheme will be used for local refinement, and the fast adaptive composite grid method will achieve high accuracy and efficiency for computation on the composite grid. The development will have parallel computation in mind to greatly enhance the capability to handle very large scale combustion problems.The software will be able to realistically simulate combustion. Applications would be in engine design and the reduction of emitted pollutants.multigrid, multilevel, adaptive, combustion, flame, chemistrySTATUS: Phase I Only