Janusz Pudykiewicz
The system of conservation laws governing reactive flow describes
a complex system in which the fluid dynamics is coupled with local
processes such as chemical reactions or phase changes. In mathematical
terms the reactive flow equations consist of Navier-Stokes equations
coupled with continuity equations for a number of interacting
scalar fields characterizing the chemical composition of fluid.
In order to solve this very complex set of equations in an efficient
manner we first discretise the spatial derivatives using a finite volume
techniques. The system of semi-discrete ordinary differential equations
obtained following this procedure is then solved using the third and fourth
order Runge-Kutta schemes. A discussion of constraints which are required
in order to maintain the monotonicity of the the scheme will be also
presented.
The effect of chemical reactions is represented without the operator
splitting.