Transfer matrix calculation stability optimization method based on dimensionless analysis
A transfer matrix, dimensionless technology, applied in complex mathematical operations, geometric CAD, CAD numerical modeling, etc., can solve problems such as high-frequency unstable transfer matrices, to achieve programming calculations, high precision, and solve calculation instability problem effect
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[0055] The present invention is described in more detail below in conjunction with accompanying drawing example:
[0056] to combine Figure 1-6b , the computational stability optimization method of the present invention comprises the following steps:
[0057] (1) Establishment of dimensionless mathematical model
[0058]The accuracy factors affecting the calculation of the transfer matrix method can be summed up in terms of frequency, fluid quality, Young's modulus of elasticity, pipe diameter, and pipe length. Through dimensional analysis, these factors can just form dimensionless frequency domain variables. Inspired by this, the present invention establishes a dimensionless mathematical model by substituting dimensionless parameters into the existing fourteen equation model.
[0059] The dimensionless parameters set include:
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[0066] (2) Solve the transfer matrix of the dimensionless mathematical mo...
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