储罐静电电位的有限差分计算方法

Finite Difference Method of Electrostatic Potential in Storage Tank

研究了立式圆筒形石油储罐内静电电位的有限差分数值计算方法。将接地金属储罐内的静电场等效为二维轴对称场,从静电场边值问题出发,建立了数学模型,推导了有限差分数值模型,得出超松弛迭代格式的有限差分公式。通过计算储罐中静电电位的分布考验了算法。

The numerical calculation method of electrostatic potential in vertical cylindrical storage tank was surveyed.For the earthed metal tank,the electrostatic field inside was equivalent to the two-dimension ax-symmetric field.The mathematical model based on the boundary value problem of electrostatic field is built,and the numerical model of finite difference accordingly is deduced.The over-relaxation iterative formula is deduced and the electrostatic potential distribution in the tank is calculated to test the numerical method.