Grid self-adaptive method based on error estimation

An error estimation and self-adaptive technology, applied in computing, special data processing applications, instruments, etc., can solve problems such as wrong results and gaps in meeting requirements, and achieve the effect of improving high-precision computing capabilities

Inactive Publication Date: 2011-05-04
AVIC NO 631 RES INST
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Problems solved by technology

[0002] Credibility research has been a hot topic in CFD in recent years. The grid has always been one of the most important sources of CFD uncertainty. This problem has also plagued CFD workers, focusing on how to reduce the numerical dispersion error caused by the grid. People have come up with various methods, such as gradient-based a

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  • Grid self-adaptive method based on error estimation
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  • Grid self-adaptive method based on error estimation

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specific Embodiment

[0023] Method of the present invention is as follows by the specific embodiment to output function error estimation:

[0024] on a coarse grid Ω H , the grid is acceptable for computing resources and computing time, and it should be dense enough to capture the basic characteristics of the flow problem. In addition, its numerical solution should be located in the asymptotic domain of convergence, H is the characteristic length, and the focus is on the computational The output function f(U), U is the solution of the governing equation of the considered flow field, in Ω H The numerical solution on is denoted as f H (U H ). The problem is that although the calculation amount f H (U H ) are acceptable, but may not meet the accuracy requirements of the application. Now consider a sufficiently dense grid Ω h , although the solution cost on this grid is unacceptable, but f h (U h ) can meet our requirements, and Ω h nested in Ω H middle.

[0025] On a fine grid Ω h , by a...

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Abstract

The invention relates to a grid self-adaptive method based on error estimation, comprising the following steps: 1) determining a target function; 2) obtaining a flow field solution and an adjoint solution based on the current grids of the target function; 3) constructing fine grids corresponding to the current grids; 4) interpolating the corresponding quantity of the current grids in the fine grids, and constructing an interpolation operator from a current grid solution to a fine grid solution; 5) calculating the residual amount of the flow field on the fine grids; and 6) carrying out error estimation and fairing, if the error is more than a set error, marking the current grids for fining, and returning to the step 2) after the fining is finished, and if the error is less than the set error, avoiding fining on the current grids. By utilizing the grid self-adaptive method, the error of the target function can be estimated according to the specified target function as well as a flow field control equation and the solutions of an adjoint equation thereof under the specific flow condition, self-adaptive local grid refinement is carried out according to the error, and then the calculation of the target function with higher accuracy is realized on the self-adaptive grids.

Description

technical field [0001] The invention relates to a grid adaptive method based on error estimation. Background technique [0002] Credibility research has been a hot topic in CFD in recent years. The grid has always been one of the most important sources of CFD uncertainty. This problem has also plagued CFD workers, focusing on how to reduce the numerical dispersion error caused by the grid. People have come up with various methods, such as gradient-based adaptive methods, and methods to improve grid quality, such as smoothing technology, density box technology and grid topology research, etc., to improve grid quality and improve calculation results. But the results are not always so ideal, or the wrong results are obtained, or the results have improved but are still far from meeting the requirements. For example, the grid adaptation based on Euler's gradient (pressure or density), and the grid adaptation based on entropy or Mach number for viscous flow calculations sometimes...

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Application Information

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IPC IPC(8): G06F17/50
Inventor 杨振虎周磊梁益华
Owner AVIC NO 631 RES INST
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