Numerical Simulation Of Aluminum Flow Field Based On Finite Element Method

Finite element method(FEM)is widely used in the study of fluid mechanics numerical approximation,especially with the development of computer technology,finite element method(FEM)has become an important tool for numerical simulation of engineering problems.In the study of the finite element method of multi-physical field coupling,the finite element method is easy to discretize the partial differential equations,suitable for dealing with complex regions and reliable in calculation accuracy.Based on the boundary value problem of fractional differential equations,this paper analyzes and studies it.Through the analysis of its characteristics and research process,it also proves the importance of the study of fractional differential equations.In this paper,the idea of finite element in fluid science is introduced firstly,and the boundary value problem of fractional differential equation is solved on the basis of application analysis.The solution of boundary value problem has important practical value in the application research of finite element,which has the main promoting function for obtaining more accurate solution,and the change of fluid constitutive equation is discussed.Secondly,the numerical simulation of finite element method in fluid is introduced,several common forms are introduced,and the numerical situation of aluminum liquid fluid is simulated by standard finite element method.Then,the mesh division is improved,and the accuracy and calculation speed of the algorithm are improved.finally,the rationality of the algorithm is verified by practical examples.Considering that there are many more beneficial couplings in the algorithm,different meshes are used in the final work to analyze the error problem of the solution of this kind of problem equation.The magnetohydrodynamic behavior mechanism of molten aluminum was revealed by magnetohydrodynamic electromagnetic-thermal coupling calculation and model experiment.Specifically,the developed magnetic field tomography system measures the influence of different interface shapes and current density distributions on the temperature field and the velocity field,determines the physical mechanism of the interface instability of aluminum electrolysis in industry,and finds out the monitoring and control methods for effectively inhibiting the interface instability,so as to achieve the purpose of improving the current efficiency.At the same time,magnetic field tomography technology to mature,and gradually to the industrial application.The multi-grid finite element method is studied,and the advantages of the multi-grid finite element method in fluid mechanics are analyzed.the stabilization technique for solving the flow field governing equations in fluid field is obtained,and the magnetic field variation of aluminum flow field is numerically simulated.The results show that the multi-grid finite element method has obvious advantages in calculation and accuracy in numerical simulation of aluminum flow field.