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

A technology of DG-FETD and vector basis functions, which is applied in special data processing applications, electrical digital data processing, instruments, etc., can solve the problem of long calculation time of high-order basis function methods, and achieve the effect of reducing calculation time and improving calculation efficiency

Active Publication Date: 2019-12-17
NANJING UNIV OF SCI & TECH
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Problems solved by technology

However, when faced with large TV problems, the calculatio...

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

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Embodiment Construction

[0015] A dynamic p-adaptive discontinuous Galerkin time-domain finite element (DG-FETD) method based on stacked vector basis functions, the steps are as follows:

[0016] The first step is to establish the solution model, use the tetrahedral grid to discretize the model, and obtain the structural information of the model, including the node information and unit information of the tetrahedron; the node information includes the node number, node coordinates, and the unit information includes the unit number and The serial number of the node contained in the unit;

[0017] The second step is to set the simulation parameters and read the structural information of the model;

[0018] In the third step, according to the first-order Maxwell’s curl equation in which the electric field strength E and the magnetic field strength H are unknown quantities:

[0019]

[0020]

[0021] In the above formula, ε and μ represent the permittivity and permeability of the discrete unit, resp...

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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...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCY02E60/00
Inventor 陈如山刘阳丁大志樊振宏
Owner NANJING UNIV OF SCI & TECH
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