Unlock instant, AI-driven research and patent intelligence for your innovation.
An improved kgf-sph method
What is Al technical title?
Al technical title is built by PatSnap Al team. It summarizes the technical point description of the patent document.
A technology of equations and first derivatives, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as increased calculation amount, unfavorable processing boundary conditions, etc.
Inactive Publication Date: 2018-05-18
BEIJING INSTITUTE OF TECHNOLOGYGY
View PDF4 Cites 0 Cited by
Summary
Abstract
Description
Claims
Application Information
AI Technical Summary
This helps you quickly interpret patents by identifying the three key elements:
Problems solved by technology
Method used
Benefits of technology
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
the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more
Image
Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
Click on the blue label to locate the original text in one second.
Reading with bidirectional positioning of images and text.
Smart Image
Examples
Experimental program
Comparison scheme
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...
the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More
PUM
Login to View More
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 (Smoothed Particle Hydrodynamics) is a Lagrangian gridless particle method, proposed by Lucy, Gingold and Monaghan in 1977 and used to solve astrophysical problems in three-dimensional open space, and has been widely used in multiphase In the numerical simulation of fluid mechanics problems such as flow, gravity flow, heat conduction, etc. 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 solidmechanics, the appli...
Claims
the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More
Application Information
Patent Timeline
Application Date:The date an application was filed.
Publication Date:The date a patent or application was officially published.
First Publication Date:The earliest publication date of a patent with the same application number.
Issue Date:Publication date of the patent grant document.
PCT Entry Date:The Entry date of PCT National Phase.
Estimated Expiry Date:The statutory expiry date of a patent right according to the Patent Law, and it is the longest term of protection that the patent right can achieve without the termination of the patent right due to other reasons(Term extension factor has been taken into account ).
Invalid Date:Actual expiry date is based on effective date or publication date of legal transaction data of invalid patent.
Login to View More 
Login to View More