One of the combustion methods that has been developed in the last two decades, but has not yet become fully operational and commercial, is the use of a continuous detonation wave with only one initial start-up in the combustion chamber. This method is called rotating detonation combustion or RDC for short. In this article, while introducing rotating detonation combustion, this process is also simulated in two waves. It also presents a method that by considering the physics of the problem, any number of waves can be simulated in the combustion chamber. In this method, by considering the periodic boundary conditions along the wave propagation in two-dimensional mode, the detonation wave becomes continuous and rotational. By setting the appropriate code (UDF: User Defined Function) to apply the boundary condition at the input, we manage the injection into the domain, in such a way that there is always fresh reactant in front of the wave so that the wave continues to move and the injection stops when the wave passes and the pressure increases, Then the injection is resumed after the wave is gone and the pressure drops. In order to propagate the detonation unilaterally before reaching the continuous propagation conditions, the wall boundary condition at the periodic boundaries of the continuous state is used. By applying the appropriate initial conditions, the transition from deflagration to detonation is eliminated and the cost of calculations is reduced. Despite the mentioned simplifications, the model presented in this article demonstrates single-digit error percentage in predicting the detonation wave velocity.