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Incompressible flow simulation method based on four-order compact difference scheme

A compact differential and flow simulation technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as the difficulty of solving the pressure Poisson equation, achieve simple processing and improve computational efficiency

Inactive Publication Date: 2017-09-26
XIDIAN UNIV
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Problems solved by technology

However, in the incompressible flow simulation method based on the fourth-order compact scheme, the solution of the pressure Poisson equation is a great difficulty, which is the key problem to be solved by the present invention

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  • Incompressible flow simulation method based on four-order compact difference scheme
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  • Incompressible flow simulation method based on four-order compact difference scheme

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[0037] In order to make the object, technical solution and advantages of the present invention more clear, the present invention will be further described in detail below in conjunction with the examples. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.

[0038] The application principle of the present invention will be described in detail below in conjunction with the accompanying drawings.

[0039] Such as figure 1 As shown, an incompressible flow simulation method based on a fourth-order compact difference scheme in a fully staggered grid includes:

[0040] S101: In the time direction, the semi-implicit Crank-Nicolson scheme is used to discretize the viscous term through the approximate splitting of the differential operator, and the explicit Adams-Bashforth scheme is used for the discretization of the convective term;

[0041] S102: For the pressure Poisson equation ge...

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Abstract

The invention discloses an incompressible flow simulation method based on a four-order compact difference scheme. The method includes the steps of realizing the dissociaton viscous terms of a semi-implicit Crank-Nicolson scheme by the approximate splitting of a differential operator in the time direction, adopting an explicit Adams-Bashforth scheme for convection term dissociation; for a pressure Poisson equation generated by an accurate projection step, transforming the pressure Poisson equation to Fourier space to obtain the correction wavenumber of the four-order compact difference operator; after obtaining the pressure solution in the Fourier space by algebraic operation, obtaining the pressure field which accurately satisfies the velocity divergence of zero in the physical space by Fourier inverse transformation. The incompressible flow simulation method based on the four-order compact difference scheme has four-order spatial accuracy and good coincidence with channel turbulence simulation results of Re tau=180 and spectral method results.

Description

technical field [0001] The invention belongs to the field of discrete signal calculation, in particular to an incompressible flow simulation method based on a fourth-order compact difference scheme. Background technique [0002] In the incompressible flow simulation method based on the fourth-order compact difference scheme in the fully interlaced grid, on the one hand, the accuracy of the numerical method is improved by using the fourth-order compact difference scheme, thereby improving the accuracy of the numerical simulation; on the other hand, in the complete The projection method in the staggered grid can accurately guarantee that the solution results satisfy the mass conservation equation, and there will be no pressure oscillation phenomenon in the non-staggered grid. However, in the incompressible flow simulation method based on the fourth-order compact scheme, it is very difficult to solve the pressure Poisson equation, which is the key problem to be solved by the pr...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/20
Inventor 胡锐锋
Owner XIDIAN UNIV
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