在非交错网格系统下采用控制容积法和混合差分格式来离散控制方程，并应用SIMPLE算法对离散方程进行求解。
The discretization of governing equations on a non-staggered grid system is performed by hybrid scheme over the control volume, and discretization equations are solved with SIMPLE algorithm.
针对一维扩散方程，给出一种新型差分格式的待定系数法，并以两种新型差分格式为例进行稳定性和截断误差分析。
Taking one-dimensional diffusing equation as the object of study, a method of undetermined coefficients was given. Then gave two examples and analyzed their stability and truncation error.
局部隐式有限元法是在一般有限元法的基础上，兼容了TVD差分格式和有限体积法的某些特点，形成的一种新型算法。
A new algorithm, locally twitch finite element method is developed on the base of the general finite element method, mixed with total-variation-diminishing (TVD) scheme and the finite volume method.
提出了一种新的与显式时间推进法、有限体积差分格式、粘性体积力法有效地配合使用的多重网格法来求解叶轮机械可压流动。
This paper puts forward a new multiple gird scheme, which is used with the combination of explicit time marching method, finite volume difference code and distributed body force.
采用二分步法，从积分型方程出发，在有限控制体上建立守恒型差分格式，对二维浅水波方程进行求解。
By use of the time split method, a conservation difference formula is established to find the solution to the shallow water equation based on the finite volume control method from integral equations.
对流项用迎风—中心差分格式模拟，压力方程用SOR法迭代求解。
The convection term is discretized with upwind-central difference scheme, while the pressure equation is solved by SOR.
用泰勒级数法推出直角坐标系下亥姆霍兹方程的七点差分格式和九点差分格式；
The seven-grid difference format and nine-grid difference format of Helmholtz equation in right coordinate in the way of Taylor series method have been derived.
导出了极坐标系下扇形截面杆件扭转问题的差分格式；用逐次超松驰迭代法求出了扭转应力函数差分值。
A torsion difference scheme of the bar with sectorial cross-section is developed in polar coordinate system.
然后采用将零速度法和广义虚像法相结合的方法来处理自由边界，并在自由边界上采用四阶精度差分格式；
Second, the free-boundary is handled by using combination of the zero-velocity method with the general ghost-image method and fourth-order difference format is used in free-boundary.
然后采用将零速度法和广义虚像法相结合的方法来处理自由边界，并在自由边界上采用四阶精度差分格式；
Second, the free-boundary is handled by using combination of the zero-velocity method with the general ghost-image method and fourth-order difference format is used in free-boundary.
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