Application of the Evolution-Variable Manifold Approach to Cavity-Stabilized Ethylene Combustion

Abstract

For combustion in high-speed flows, radical-formation time scales and ignition delay times may be similar to, or dominate, relevant flow time scales. Reliable modeling of induction and autoignition processes is critical to the prediction of combustor performance. The evolution-variable manifold (EVM) approach of Cymbalist and Dimotakis 1 uses a transported scalar to track the evolution of the reaction processes, from induction leading to autoignition and subsequent robust combustion. In the present work, the EVM method is implemented in a computational fluid dynamics code in which wall-modeled large-eddy simulations are performed for two ethylene-air high-speed combustion cases. The detailed thermochemical state of the reacting fluid is tabulated as a function of a reduced number of state variables that include density, energy, mixture fraction, and the reaction-evolution variable. A thermodynamically consistent numerical flux function is developed and the approach for coupling the large-eddy simulation to the EVM framework is discussed. It is found that particular attention must be given to the solution of the energy equation to obtain accurate and computationally stable results. The results show that the LES-EVM approach shows promise for the simulation of turbulent combustion of hydrocarbons in high-speed flows, including those dominated by ignition delay, and encompass regions of thin reaction fronts as well as distributed reaction zones.