Transmission line and level scheduling method-based two-dimensional static magnetic field parallel finite element method
A technology of transmission line and scheduling method, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as long solution time and low efficiency
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specific Embodiment approach 1
[0064] Specific implementation mode 1: This implementation mode records a two-dimensional static magnetic field parallel finite element acceleration method based on the transmission line and level scheduling method. The specific steps of the method are as follows:
[0065] Step 1: Establish a two-dimensional plane coordinate system, and establish the geometric model of the static magnetic field problem, such as Figure 4 shown;
[0066] Step 2: For the control equations and boundary conditions in the two-dimensional nonlinear static magnetic field, a set of differential equations is obtained, and the control equations are:
[0067]
[0068] Among them, A is the variable magnetic potential to be obtained, μ 0 is the air permeability, M is the magnetization vector, α m is the angle between M and the positive direction of the x-axis, J is the current density; the boundary conditions are:
[0069] Γ 1 : A=0,Γ 1 Indicates the distribution of magnetic potential A on the boun...
specific Embodiment approach 2
[0111] Specific embodiment two: In the two-dimensional static magnetic field parallel finite element method based on transmission line and level scheduling method described in specific embodiment one, in step eleven, the establishment method of the equivalent circuit network is as follows:
[0112] The element matrix [Y e ] The elements on the diagonal are regarded as self-conducting, and the elements on the off-diagonal are regarded as mutually conducting,
[0113] For elements on the off-diagonal, if represents the matrix [Y e ] row r, element s column, a voltage-controlled current source is set between node r and node s in the equivalent circuit network corresponding to the triangular unit, and the current size in the controlled current source is U rs Y rs , the direction is from node r to node s, where U rs is the magnetic potential difference between node r and node s,
[0114] For elements on the off-diagonal, if Then a pure resistance is set between node r and...
specific Embodiment approach 3
[0116] Specific embodiment three: the two-dimensional static magnetic field parallel finite element method based on the transmission line and the level scheduling method described in the specific embodiment one, in step 13 (two), the establishment method of the level scheduling method is as follows:
[0117] The solution of the following triangular matrix Lx=b is an example. L is a lower triangular matrix with a size of n×n, and x and b are both a matrix of n×1. The calculation steps are:
[0118] A. Calculate the level level(i) of the i-th variable x(i) in the matrix L, for all elements in the i-th (i=1,2,...,n) row, if the i-th row of the matrix L, the j-th (j=1,2,...,n) element L of column ij is not zero, then update level(i)=1+maxlevel(j) until all elements are traversed,
[0119] B. After calculating the level of each variable, the matrix L is transformed according to the level of the variable x, so that the level of the variable is in ascending order, and the newly sort...
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