中文摘要：

流体力学的动量方程、能量方程、湍动能方程和耗散方程都具有对流扩散方程的形式，但连续方程却不是对流扩散型的。对于可压缩问题，本文通过合理的数学推导，不作任何近似、假定与简化，得到一个全新的连续方程形式。该连续方程以压力为未知变量，并具有对流扩散型形式，使得所有的流体动力学方程组都具有完全统一的方程形式，给出了这种三维对流扩散方程组的有限精确差分计算格式。对流体力学的进一步发展具有一定意义。

英文摘要：

The momentum equation, energy equation, turbulent energy equation, dissipation equation are all in convection diffusion type. However, the continuity equation is not in convection diffusion type. By rational mathematic deduction, the continuity equation is transformed into convection diffusion type without any assumption or simplification for compressible flow. This effort makes all the fluid dynamic equations take on the unified convection diffusion type. A finite analytic scheme for solving such equations are given in this paper.