二维高炉区域BFC网格生成技术及其Matlab实现

Study on BFC grid generation of blast furnace mathematical model and its realization in Matlab

利用数学模型对高炉冶炼过程进行模拟是高炉炼铁新工艺研发的有效方法,网格生成技术是数值模拟过程中重要的前处理过程,是高炉模拟计算的先决条件。生成网格的质量对高炉模型模拟的精度、效率以及收敛性具有重要影响,因此,建立优质的网格对高炉数学模型的求解具有重要意义。文中提出了一种适用于高炉数学模型的适体坐标系(BFC)网格的生成方法,从求解区域的划分、椭圆型方程的转换、椭圆型方程的离散及BFC网格生成步骤等方面进行了研究,并把死料区的边界作为BFC网格计算的边界条件,使数学模型的求解过程得以简化。采用带有源项的泊松方程作为变换方程,网格的正交性和疏密程度便于控制。该网格生成算法原理简单、易于编程、网格生成效率高,生成的网格能够满足数学模型求解的要求。

Simulating the process of blast furnace ironmaking through mathematical models is an effective way of new technology research and development.As an important pre-treatment process,numerical grid generation process technology is a prerequisite for the simulation of the blast furnace.Grid quality has an important impact on the blast furnace model simulation accuracy,efficiency and convergence.Therefore, the establishment of high-quality grid is very important for solving the mathematical model of blast furnace.A new method for grids-generation of balst furnace mathematical model based on body-fitted coordinate （BFC）is studied,including division of solution region,conversion and discretisation of elliptic equation and the concrete steps of the grid generation in MATLAB.In the process of BFC grid generation, using Poisson equation with source phase as the transformation equation can make the orthogonality and density of the grid to get better controlled.Treating the boundary of the deadman as boundary condition can simplify the solving process of the mathematical model.The principles of the algorithm are simple and easy＆nbsp;to program, as well as, the efficiency of generating grids is higher and the grids can satisfy the requirements of the mathematical model.