A Meshless Method for Numerical Simulation of 2D Fractal Targets in Frequency Domain
A meshless, numerical simulation technology, applied in CAD numerical modeling, complex mathematical operations, special data processing applications, etc., can solve problems such as cumbersome solution process, complex formula derivation process, and no physical model.
Active Publication Date: 2022-02-25
JILIN UNIV
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Problems solved by technology
However, the formula derivation process of this method is very complicated, and the solution process is relatively cumbersome, and there is no corresponding physical model, so there will be certain problems in actual verification
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[0061] see figure 1 , a frequency-domain electromagnetic numerical simulation method for a two-dimensional fractal target with a mesh-free method, including:
[0062] 1), set the calculation area as x: -40km~40km, z: -40km~40km, the nodes in the calculation area are evenly distributed, the distance between nodes is 800 meters, the total number of nodes is 101×101=10201; the calculation area is four The Neumann boundary condition is adopted, and the artificial current source is at (0m,0m).
[0063] 2) Set electromagnetic parameters in the entire calculation area, including emission frequency, magnetic permeability, permittivity, earth conductivity, air conductivity and other parameters. The model in this example is a uniform half-space model, and the emission frequency is 2 n Hz(n=0,1,2,...,10), the magnetic permeability is 4π×10 -7 , the dielectric constant is 1 / 36π×10 -9 , the conductivity of the earth is 0.01S / m, and the conductivity of the air is 1×10 -6 S / m.
[0064]...
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The invention relates to a two-dimensional fractal target body frequency domain electromagnetic numerical simulation method without grid method. Based on the geometric structure of the two-dimensional fractal target body, a spatial fractional conductivity model is constructed; The spatial fractional operation is converted into a fractional Laplace operator to obtain the spatial fractional electromagnetic diffusion equation; the fractional derivative of Caputo is introduced, the fractional Laplace operator is spatially discretized, and the radial base point interpolation is used without mesh. The grid method converts the partial differential operation of the electric field into the partial differential interpolation of the shape function, and finally realizes the frequency domain electromagnetic numerical simulation of the two-dimensional fractal target body. The purpose of the invention is to establish the mapping relationship between the conductivity fractal and the spatial fractional differential, to construct the fractional conductivity model of the fractal target body, and to overcome the fractional Laplace operator by combining the gridless method with the Caputo differential. The complexity of direct solution can realize the high-precision numerical simulation of the electromagnetic response of the two-dimensional fractal target in the frequency domain.
Description
technical field [0001] The invention relates to a two-dimensional fractal object frequency-domain electromagnetic numerical simulation method without grid method, which is suitable for the electromagnetic response numerical simulation of the fractal object, especially the electromagnetic response numerical simulation of the fractal object in the controllable source frequency domain electromagnetic method simulation. Background technique [0002] The controllable source frequency domain electromagnetic method usually chooses a long grounded wire as the emission source, and receives the electric field and magnetic field in the far area, and then establishes the relationship between the frequency and the underground electrical structure through the ratio of the electric field and the magnetic field to achieve the purpose of obtaining underground information. It has the advantages of large detection depth and high signal-to-noise ratio, and has achieved good application results ...
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IPC IPC(8): G06F30/20G06F17/14G06F17/12G06F111/10
CPCG06F30/20G06F17/14G06F17/12G06F2111/10
Inventor 嵇艳鞠于一兵林君赵雪娇王远栾卉吴琼
Owner JILIN UNIV