Two Approaches for Simulating the Burning Surface in Gas Dynamics

Abstract

Two approaches for simulating the burning surface in gas dynamics by means boundary conditions and right sides in the equations involving Dirac delta function are discussed. A comparison of numerical steady-state solutions and the exact ones in one-dimensional approximation is performed for two approaches. It is shown that the numerical solutions obtained with the finite-difference scheme of first order accuracy on the base of two considered approaches converge to each other when the mesh refinement is applied. The numerical solution for the steady state problem coincides with the analytical one, if the pressure at the boundary cell face is set equal to the pressure in the center of the boundary cell.

Effect of Two-Phase Flow on the Fuel Grain Ignition and Its Departure From the Cartridge Case

“…its inclusion in the combustion process, occurs gradually after the temperature at a given point has reached some critical value. The surface temperature is usually found either by numerically solving the non-stationary thermal conductivity equation [6,7] or by solving the ordinary differential equation [8] obtained by one of the integral methods [9,10]. This work uses the second method as less resource-intensive.…”