Universal gridless numerical result post-processing method

A meshless, numerical technology, applied in the field of computational mechanics, which can solve problems such as low accuracy, poor versatility, and only zero-order accuracy

Inactive Publication Date: 2014-09-24
BEIJING INSTITUTE OF TECHNOLOGYGY
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0004] (1) The versatility is poor, and the results need to be regularized in the actual

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Embodiment 1

[0073] Embodiment 1 The process of the technical solution of the present invention will be described below by taking the two-dimensional intracavity shear flow as an example, as figure 1 shown.

[0074] step 1

[0075] Taking the shear flow in a two-dimensional cavity as an example, the side length of the square cavity is L=0.001m, the particle distance at the initial moment is dx=dy=0.00025m, the smooth length h=λdx, where λ=1.3, and the particle density is Density ρ of air p =1.27kg / m 3 , the mass of the particle m p =ρdxdy, the velocity u of the particles on the upper wall p =0.001m / s remains unchanged, the velocity of the left and right walls and the lower wall is 0. The shear flow in the cavity is numerically simulated by any mesh-free method (such as SPH, ISPH, FPM, FVPM). Here, the SPH method is used to obtain all the physical quantities of the particles in the cavity and its boundary, including the density ρ p , mass m p , speed u in x direction p , y-directio...

Embodiment 2

[0091] Embodiment 2 The technical solution of the present invention will be described below by taking natural convection as an example.

[0092] step 1

[0093] Taking natural convection as an example, the side length of the square cavity is L=0.1m, the distance between particles at the initial moment is dx=dy=0.002m, the smooth length h=λdx, where λ=1.3, and the particle density is the density ρ of air under standard conditions p =1.27kg / m 3 , the mass of the particle m p =ρdxdy, the velocity of all wall particles is 0, the upper and lower walls adopt adiabatic boundary conditions, the temperature of the left and right walls is constant, the left wall is a high temperature wall, the right wall is a low temperature wall, and the temperature difference between the left and right walls ΔT=10k. Numerical simulation of natural convection is carried out by any meshless method (such as SPH, ISPH, FPM, FVPM). Here, the SPH method is used to obtain all the physical quantities of the...

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Abstract

The invention relates to a universal gridless numerical result post-processing method, and belongs to the technical field of computational mechanics. The method includes the following steps that particle physical information obtained in a gridless method is stored; a computing domain of a researched problem is divided into grids, and grid joint information is stored; by means of a particle searching method, gridless particles in an influence domain of each grid node are determined; kernel functions and derivatives in the influence domains of the grid nodes are calculated; an inverse matrix of a coefficient matrix is calculated; the physical quantity on the grid nodes is calculated; the physical quantity on the grid nodes is led into drawing software, and a result is displayed. According to the method, the physical information obtained through numerical simulation is added to the new grid nodes in a differential mode, and visuality of calculation results of the gridless method is improved.

Description

technical field [0001] The invention relates to a general gridless numerical result post-processing method, which belongs to the technical field of computational mechanics. Background technique [0002] Fluid mechanics is a very important subject in the field of aerospace. Today's fluid is no longer limited to static problems, but more concerned with dynamic problems. The traditional CFD method is a grid method. These methods are usually based on dynamic network technology or nested grid technology to solve the problem of grid deformation. However, when the boundary deformation of the research problem is too large, these two methods may produce grid distortion. , at this time, mesh reconstruction is usually used to eliminate the distorted mesh, but mesh reconstruction will inevitably reduce the accuracy and increase the amount of calculation. For this reason, people have proposed a gridless method, which does not require a grid and therefore does not encounter the problem o...

Claims

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Application Information

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IPC IPC(8): G06F17/50
Inventor 雷娟棉黄灿王锁柱彭雪莹吴小胜
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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