Local Boundary Integral Equation Method For Solving Steady Well Flow Of Groundwater

Content: The progress and fundamental principle of the meshless local boundary integral equation(LBIE) method is introduced in the present paper, the method is applied to the stable well flow of groundwater. We introduce development and research situation of the meshless method, radial basis function and weighted residual method, and give a systematic introduction of the fundamental principle of the LBIE methods. From the boundary integral equation, we use local sub-domain instead of the entire domain, get a local sub-domain boundary integral equation, then use the meshless approximate function, we obtain the LBIE method. This method only needs integrals over very regular sub-domains, does not need element-like cells in the entire domain to evaluate volume integrals, so the LBIE method is a real meshless method. Choose the suitable node, radius of the subdomains and radial basis flmction, carry out proper treatment on the well problem, so give the algorithm of the mathematical model of the groundwater stable well flow, and establish the concrete question computational procedure. The result indicated that, this method has the high accuracy, satisfies the requirement of numerical simulation in groundwater work, compares the traditional numerical method more convenient economy, has provided a new numerical method for the numerical simulation in groundwater.