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We describe a coupled Lagrangian-Eulerian numerical scheme for modeling reacting flow in two dimensions. The scheme uses the Lagrangian vortex method for solving the Navier-Stokes equations, and an Eulerian finite difference implementation on a multi-layered adaptive mesh for the scalar conservation equations. Coupling terms involving baroclinic and diffusional circulation source terms as well as expansion sources for dilatation resulting from heat release are implemented as necessary. A boundary element method is used for the potential flow solution. A fast multipole method is used for all velocity field evaluations. The numerical construction is presented along with representative buoyant reacting jet flow results.

A coupled lagrangian-eulerian scheme for reacting flow modeling