Improved KGF-SPH (kernel gradient free-smoothed particle hydrodynamics) method

A KGF-SPH, equation technology, applied in special data processing applications, instruments, electrical and digital data processing, etc., can solve problems such as unfavorable processing of boundary conditions and increased calculation volume.

Inactive Publication Date: 2016-01-20
BEIJING INSTITUTE OF TECHNOLOGYGY
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

Because the solution of the second-order derivative needs to be derived from the first-order derivative, the amount of calculation is doubled
[0005] (2) It is not conducive to dealing with boundary conditions

Method used

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  • Improved KGF-SPH (kernel gradient free-smoothed particle hydrodynamics) method
  • Improved KGF-SPH (kernel gradient free-smoothed particle hydrodynamics) method
  • Improved KGF-SPH (kernel gradient free-smoothed particle hydrodynamics) method

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Experimental program
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Effect test

Embodiment 1

[0083] Embodiment 1 The technical solution of the present invention will be described below with the problem of one-dimensional heat conduction.

[0084] Step 1. Arrange particles in the computational domain of the research problem;

[0085] Taking the one-dimensional heat conduction problem as an example, the calculation domain is a line segment L from 0 to 1, and the particle distribution is as follows: figure 1 As shown, the distance between particles is Δ, the solid circles in the figure are real particles, and the hollow circles are virtual particles.

[0086] Step 2. Initialize the physical properties of the particles according to the initial conditions and boundary conditions of the research problem;

[0087] The particle density ρ=1, the particle mass m=ρΔ, and T represents the particle temperature. The initial conditions and boundary conditions are respectively: T(x,0)=sinπx and T(0,t)=T(1,t)=0.

[0088] Step 3, using the discrete format of the improved KGF-SPH met...

Embodiment 2

[0099] Embodiment 2 The technical solution of the present invention will be described below with the natural convection problem of a closed square cavity.

[0100] Step 1. Arrange particles in the computational domain of the research problem;

[0101] Taking the natural convection problem of a closed square cavity as an example, the calculation domain is a square cavity with side length L, and the particle distribution is as follows: Figure 4 As shown, the solid circles in the figure are real particles, and the hollow circles are virtual particles.

[0102] Step 2. Initialize the physical properties of the particles according to the initial conditions and boundary conditions of the research problem;

[0103] The side length of the square cavity is L=0.1m, the distance between the particles at the initial moment is dx=dy=0.0005m, the smooth length h=1.3dx, the mass of the particles is m=ρdxdy, and the initial density of the particles is the density ρ of the air under standard...

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Abstract

The invention relates to an improved FPM method, and belongs to the technical field of computational mechanics. The method comprises the following steps: firstly arranging particles in a computational domain of a question being researched, secondly initializing physical attributes of the particles according to the initial conditions and boundary conditions of the question being researched, next carrying out approximation on a governing equation of the question being researched by utilizing a discrete format of an improved KGF-SPH (kernel gradient free-smoothed particle hydrodynamics) method, and finally carrying out iteration on the governing equation of the question being researched, thus obtaining a numerical simulation result. The method provided by the invention keeps the characteristic of nuclear-free gradient of the KGF-SPH method, and is relatively high in numerical precision and stability, and the processing of the boundary conditions is facilitated.

Description

technical field [0001] The invention relates to an improved KGF-SPH method, belonging to the technical field of computational fluid dynamics. Background technique [0002] SPH (SmoothedParticleHydrodynamics) is a Lagrangian gridless particle method, which was proposed by Lucy, Gingold and Monaghan in 1977 and used to solve astrophysical problems in three-dimensional open space. It has been widely used in multiphase flow, In the numerical simulation of fluid mechanics problems such as gravity flow and heat conduction. In the SPH method, a series of particles are used to replace the continuum, and these particles can move freely in the computational domain, so the SPH method can well deal with problems that are difficult to solve with traditional mesh methods, such as those with moving boundaries, free surfaces or boundaries Flow problems with extremely large deformations. Although the SPH method has been widely used in the fields of fluid mechanics and solid mechanics, the ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F19/00
Inventor 雷娟棉彭雪莹黄灿王锁柱吴小胜
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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