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A particle fluid, isogeometric technology, applied in the field of numerical analysis of complex physical systems, to achieve the effects of reducing calculation errors, improving calculation accuracy, and improving calculation efficiency and stability
Pending Publication Date: 2022-02-22
XI AN JIAOTONG UNIV
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[0004] In order to overcome the defects of the above-mentioned technologies, the present invention provides an isogeometric particle fluid dynamics method, which realizes efficient numerical analysis of fluid flow and other complex physical field coupling problems such as heat-fluid coupling field and fluid-solid coupling field
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Embodiment 1
[0052] Embodiment 1, with reference to figure 2 , an equigeometric particle hydrodynamics method comprising the following steps:
[0053] 1) Determine the analytical model of the flow field to be solved:
[0054] 1.1) According to the real geometric configuration of embodiment 1, the calculation and analysis area is extracted, and based on the non-uniform rational B-spline curve (NURBS), the geometric coefficients used to characterize the analysis area are defined, that is, the control points for solving the shape of the area are defined. According to the geometric configuration accuracy Requirements, establish a complete spline curve node vector in the parameter coordinate system and a NURBS-based shape interpolation basis function, take 4 control points to construct a secondary B-spline curve, and its control vector is a non-decreasing sequence ξ between 0 and 1 ={ξ 1 , ξ 2 ,…,ξ m+p+1}, the recursive formula of the B-spline basis function is as follows:
[0055]
[...
Embodiment 2
[0086] Embodiment 2 takes the heat conduction problem of the third type of boundary condition as an example, such as Figure 7 As shown, the power density of the heat source around the rectangle in the figure is 300W / cm 2 , heat transfer fluid temperature 300K, internal cooling power density 300W / cm 2 .
[0087] Embodiment 2, with reference to figure 2 , an equigeometric particle hydrodynamics method comprising the following steps:
[0088] 1) Determine the analytical model of the temperature field to be solved:
[0089] 1.1) According to the real geometric configuration of embodiment 2, the calculation and analysis area is extracted, and based on the non-uniform rational B-spline curve (NURBS), the geometric coefficients used to characterize the analysis area are defined, that is, the control points for solving the shape of the area are defined. According to the geometric configuration accuracy Requirements, establish a complete spline curve node vector in the parameter ...
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Abstract
The invention relates to an isogeometric particle fluid dynamics method that comprises the following steps: determining an analysis model of a physical problem to be solved, establishing a complete spline curve node vector under a parameter coordinate system and a shape interpolation primary function based on NURBS, and obtaining an accurate analysis model by adopting a method of inserting geometric operation nodes and improving the order of the NURBS primary function at different nodes; then establishing an NBPH analysis model of a to-be-solved physical problem, performing bilinear discretization on a computational domain of the to-be-solved physical problem, and constructing physical field distribution of the to-be-solved problem; customizing the number of the physical particles, and obtaining physical information borne by the physical particles through interpolation of an NURBS primary function and physical information of the control particles; applying boundary conditions of an analysis area, extracting corresponding control particles, marking a boundary layer of the analysis area, applying the boundary conditions, and applying physical properties and interaction of physical particles; and finally solving unknown physical field information. According to the method, efficient numerical analysis of fluid flow of a heat flow coupling field, a fluid-solid coupling field and the like and other complex physical field coupling problems is realized.
Description
technical field [0001] The invention belongs to the technical field of numerical analysis of complex physical systems, and in particular relates to an equigeometric particle fluid dynamics method. Background technique [0002] Numerical analysis is widely used in power electronics integration design, aerospace equipment construction, nuclear power energy and microfluidic control, thermal control structure design, etc. As a branch of mathematics, numerical analysis is a discipline used to study numerical calculation methods and theories for solving mathematical calculation problems by computers. It takes the theory and method of solving mathematical problems by digital computers as the research object, and is the main part of computational mathematics. In many cases, it is necessary to convert the problem of the continuous model into a problem of discrete form, and the solution of the discrete form can approximate the solution of the original continuous model. This conversio...
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