三维对流反应方程的高精度多重网格方法

High Accuracy Multigrid Solution of the Three-dimensional Convection Reaction Equation

利用一阶偏导数的四阶紧致差分逼近公式,构造了基于非等距网格上的数值求解三维对流反应方程的一种高精度紧致差分格式.为了提高离散后代数方程组的求解效率,采用多重网格加速技术.数值算例结果验证了本文方法的精确性和可靠性.

Making use of the fourth-order compact difference formulas for the first derivative term,a high accuracy compact different scheme with unequal mesh-size is proposed for solving the three-dimentional convection reaction equation.A multigrid accelerating technique is presented to overcome the difficulties of traditional relaxation methods.Numerical results prove its accuracy and dependability.