A new approach for the formulation of boundary conditions for the counterflow configuration is presented. Upon discretization of the steady-state Navier-Stokes equations at the inflow boundaries, numerically algebraic equations

Towards direct simulations of counterflow flames with consistent differential-algebraic boundary conditions Report Title A new approach for the formulation of boundary conditions for the counterflow configuration is presented. Upon discretization of the steady-state Navier-Stokes equations at the inflow boundaries, numerically algebraic equations are imposed as boundary conditions, while upon discretization of the unsteady Navier-Stokes equations at the outflow, differential boundaries result. It is demonstrated that the resulting numerical differential-algebraic boundary conditions are suitable to account for the multi-directional character of the flow at the boundaries of the counterflow configuration. Conference Name: Aerospace Sciences Meeting Conference Date: January 05, 2015 Towards direct simulations of counterflow flames with consistent differential-algebraic boundary conditions Panayotis D. Kourdis ∗ Mechanical and Civil Engineering Dept., California Institute of Technology, Pasadena, CA 91125, USA Josette Bellan † Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109, USA Mechanical and Civil Engineering Dept., California Institute of Technology, Pasadena, CA 91125, USA Kenneth Harstad ‡ Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109, USA A new approach for the formulation of boundary conditions for the counterflow configuration is presented. Upon discretization of the steady-state Navier-Stokes equations at the inflow boundaries, numerically algebraic equations are imposed as boundary conditions, while upon discretization of the unsteady Navier-Stokes equations at the outflow, differential boundaries result. It is demonstrated that the resulting numerical differential-algebraic boundary conditions are suitable to account for the multi-directional character of the flow at the boundaries of the counterflow configuration.