High-order time-domain finite-difference electromagnetic field simulation method based on ICCG method (Incomplete Cholesky Conjugate Gradient Method)
A technology of finite difference in time domain and simulation method, applied in design optimization/simulation, electrical digital data processing, special data processing applications, etc., can solve dispersion and anisotropy cumulative errors, can not accurately simulate complex surfaces, electromagnetic Reduced simulation calculation accuracy and other issues, to achieve low numerical dispersion error, ensure energy conservation, and reduce memory space
Inactive Publication Date: 2017-09-22
JINLING INST OF TECH
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Problems solved by technology
[0002] The traditional FDTD algorithm has two disadvantages: First, it cannot accurately simulate complex surfaces and has difficulty in simulating discontinuous materials
Second, it has significant cumulative errors in numerical stability, dispersion and anisotropy over long time simulations
Because these shortcomings will greatly reduce the accuracy of electromagnetic simulation calculations and affect the final calculation results, an improved FDTD algorithm is needed to solve the above problems
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[0017] combine figure 1 , a high-order time-domain finite-difference electromagnetic field simulation method based on the incomplete Cholesky Conjugate Gradient method (ICCG), is characterized in that, comprising:
[0018] In the spatial direction, the Maxwell equations are discretized based on the Fang scheme and the Taylor cardinal expansion and using the fourth-order or higher-order central difference scheme to approximate the spatial derivative;
[0019] In the time direction, Maxwell's equations are discretized based on the symplectic operator scheme;
[0020] When using the ICCG method to solve the sparse matrix in the electromagnetic simulation;
[0021] For the sparse matrix A, remove all zero elements in the matrix A, and modify it to retrieve the three one-dimensional arrays AAA, ND1 and NC1 set up to store the elements in A in one-dimensional compressed form, and then perform incomplete triangular decomposition , to form a preprocessing matrix, where
[0022] (1)...
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The invention provides a high-order time-domain finite-difference electromagnetic field simulation method based on an ICCG method (Incomplete Cholesky Conjugate Gradient Method). The method comprises: in spatial direction, on the basis of a Fang scheme and Taylor series expansion, approximating spatial derivatives by utilizing a fourth-order or higher-order central difference scheme, and discretizing Maxwell equations; In time direction, discretizing the Maxwell equations on the basis of a symplectic operator scheme; solving a sparse matrix in electromagnetic simulation by using the ICCG method; and for the sparse matrix A, removing all zero elements existing in the matrix A, changing the same into three one-dimensional arrays of AAA, ND1 and NC1 which are set for retrieving each element in the A stored in an one-dimensional contraction form, and then carrying out incomplete triangular decomposition to form a preprocessing matrix.
Description
technical field [0001] The invention relates to an electromagnetic field numerical calculation technology, in particular to an ICCG-based high-order time domain finite difference electromagnetic field simulation method. Background technique [0002] The traditional FDTD algorithm has two disadvantages: First, it cannot simulate complex surfaces accurately, and it has difficulty in simulating discontinuous materials. Second, it has significant cumulative errors in numerical stability, dispersion, and anisotropy over a long period of simulation. Because these shortcomings will greatly reduce the accuracy of electromagnetic simulation calculations and affect the final calculation results, an improved FDTD algorithm is needed to solve the above problems. [0003] Therefore, since the early 1990s, in view of the disadvantages of the traditional FDTD algorithm used to calculate electrically large-sized objects, such as large computing memory and poor numerical dispersion, a high-...
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Login to View More IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 高英杰叶全意
Owner JINLING INST OF TECH