Dynamic p adaptive DG-FETD method based on laminated vector basis function

Abstract

The invention discloses a dynamic p-adaptive DG-FETD method based on a laminated vector basis function, and the method comprises the steps: building a solving model, carrying out the discretization ofthe model through a tetrahedral mesh, and obtaining the structural information of the model; simulation parameters are set, and reading structure information of the model; testing two sides of the first-order Maxwell rotation equation equation by adopting a Galerkin method, and expanding by using a primary function to obtain a final iterative formula; performing time iteration through an iterative formula of a leapfrog differential format time domain finite element, calculating a space field value fluctuation parameter when each time step iteration begins, and adjusting a primary function order; and obtaining an electric field value and a magnetic field value in the space after iteration of all time steps is finished. According to the method, mixing of high-order and low-order primary functions in the discontinuous Galerkin time domain finite element method is achieved, the function that the primary functions in different discrete regions select proper orders by themselves is achieved, the simulation calculation time of the time domain finite element method is effectively saved under the condition that the precision is guaranteed, and the method has very high practical engineeringapplication value.

Description

technical field [0001] The invention belongs to the field of finite element method basis function self-adaptation, in particular to a dynamic p-adaptive DG-FETD method based on stacked vector basis functions. Background technique [0002] In multi-scale problems, when solving certain structures that require high precision, we have two options: reduce the subdivision size and use a denser grid for discretization or increase the order of the basis function. [0003] The former method will bring more unknowns, and the selection of the time step will also be limited by the minimum subdivision size, and these problems have little influence on the high-order basis functions, and the latter method is more commonly used. . However, when faced with TV large problems, the calculation time of the high-order basis function method is still very long. Contents of the invention [0004] The purpose of the present invention is to provide a dynamic p-adaptive DG-FETD method based on stac...

AI Technical Summary

Problems solved by technology

However, when faced with large TV problems, the calculation time of the high-order basis function method is still very long

Images