Application of a primitive variable Newton's method for the calculation of an axisymmetric laminar diffusion flame (Q1208849)

The primitive variable (velocity, pressure) governing equations for a flame sheet model of an axisymmetric laminar diffusion flame are discretized in cylindrical coordinates by use of a monotonicity preserving upwind finite differences scheme. The unsteady term is implicitly differenced with a backward Euler method, and the resulting nonlinear algebraic system is solved by a modified Newton method. By some numerical examples the authors try to convince themselves of the superiority of primitive variable Newton's method over Newton's method with stream function-vorticity formulation and the SIMPLER algorithm.