بررسی فرمول‏بندی مستقیم گسسته معادله پیوستگی در اکوستیک و مقایسه‌ی آن با رهیافت دیفرانسیلی

In this paper, the differential formulation of continuity equation for acoustics is compared with the Direct Discrete Method (DDM). The direct discrete formulation is based on the very deep physical concepts and assigning each physical variable a spatial element including point, line, surface, or volume and also temporal elements including time instants and intervals in one of the two cell complexes of primal or the dual. Knowing the discrete form of the continuity equation from the very beginning, there is no need to follow any numerical method based on differential equations such as FDM or, FVM,, etc. Therefore, This method provides some algebraic equations to obtain the solutions. Since the goal of any numerical simulation is to agree with the experiments, and we use global variables in this approach, allows to establish a close relationship between the continuity equation and the operator forms in the differential and direct discrete approaches.