CN114065596B - Aluminum water reactor hydrogen production modeling method with improved subdivision mode - Google Patents
Aluminum water reactor hydrogen production modeling method with improved subdivision mode Download PDFInfo
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Abstract
The invention provides a hydrogen production modeling method for an aluminum water reactor with an improved subdivision mode, which comprises the following steps: reading a structural model and a heat transfer model of the aluminum water reactor; the whole aluminum water reactor model is a first area, and an area for placing reactants in the aluminum water reactor is a second area; carrying out finite element mesh subdivision on the first area; carrying out finite element mesh generation optimization on the second area according to the first constraint condition; and checking the grid of the optimized second region, if the grid passes the check, completing modeling of hydrogen production of the aluminum water reactor, and otherwise, re-optimizing the second region. The method solves the problem of low calculation speed caused by over-dense mesh subdivision in the modeling and simulation process of the aluminum water reactor, restricts the total mesh number on the basis of accurately describing the temperature, and improves the calculation efficiency.
Description
Technical Field
The invention relates to the field of numerical analysis, in particular to a hydrogen production modeling method for an aluminum water reactor with an improved subdivision mode.
Background
Based on research observation, after the aluminum water reacts for a certain period of time, products close to the upper part and the lower part of the reactor have larger appearance and appearance difference. The surface of the product at the upper part is poor in smoothness and has micropores, and the surface of the product at the lower part is smooth and flat. The reaction is promoted to proceed sufficiently due to the crystalline and microporous structure which increases the contact area between the metal and water, resulting in less smooth and more fully reacted regions with micropores and faster relative to smooth regions. Based on the characteristics, the existing general subdivision method cannot accurately and efficiently describe the temperature in the reactor aiming at the distribution characteristics of the reactor products.
Disclosure of Invention
In order to solve the problem of slow calculation speed caused by over-dense mesh subdivision in the modeling simulation process of the aluminum water reactor, restrict the total mesh number and improve the calculation efficiency on the basis of accurately describing the temperature, the invention provides a hydrogen production modeling method of the aluminum water reactor, which improves the subdivision mode, and comprises the following steps:
s1: reading a structural model and a heat transfer model of the aluminum water reactor; the whole aluminum water reactor model is a first area, an area for placing reactants in the aluminum water reactor is a second area, and the first area comprises the second area;
s2: carrying out finite element mesh subdivision on the first area;
s3: carrying out finite element mesh generation optimization on the second area according to the first constraint condition;
s4: checking the grid of the second region optimized by S3, if the grid passes the check, completing modeling of hydrogen production of the aluminum water reactor, otherwise, performing S3;
the first constraint condition is a function of the size of the grid and the distance between the grid and the position of the water drop; in a two-dimensional space, the influence of the independent variable change of the function in the y-axis direction on the size of the grid is larger than the influence of the independent variable change in the x-axis direction on the size of the grid; in the three-dimensional space, the influence of the change of the independent variable of the function in the y-axis direction on the size of the grid size is larger than the influence of the change of the independent variable in the x-axis direction and the independent variable in the z-axis direction on the size of the grid size.
Preferably, in the two-dimensional space, the first constraint condition is:
wherein S ismaxTo a set maximum value of area, SminFor the set minimum value of the area, S (i, j) is the area constraint formula, i0Is a pixel coordinate value, j, of the water drop position in the x-axis direction0Is the pixel coordinate value of the water drop position in the y-axis direction, i, j are node coordinates, n is an exponential coefficient, a1、a2In order to match the coefficients of the coefficients,
is a range coefficient.
Preferably, in the three-dimensional space, the first constraint condition is:
wherein S ismaxTo a set maximum value of area, SminFor the set minimum value of the area, S (i, j, k) is the area constraint formula, i0Is a pixel coordinate value, j, of the water drop position in the x-axis direction0Is a pixel coordinate value, k, of the water drop position in the y-axis direction0Is the pixel coordinate value of the water drop position in the z-axis direction, i, j, k are node coordinates, n is an exponential coefficient, a1、a2、a3In order to match the coefficients of the coefficients,
is a range coefficient.
Preferably, the step of checking the mesh of the second region optimized in step S3 is to check whether the split mesh satisfies a second constraint condition; the second constraint for a two-dimensional grid is: the side length ratio of the grid, the Jocabian ratio, the distortion angle and the warping angle of the polygon unit are all within the range; the second constraint for the three-dimensional mesh is: the grid side length ratio, the Jocabian ratio, the distortion value of the volume of the polyhedral cell, and the collapse value of the polyhedral cell are all within the range.
Preferably, in the two-dimensional space, the optimizing the finite element mesh division on the second region according to the first constraint condition includes:
B-Rep data of a second area in the model constructed based on the CAD software are extracted;
calculating the mesh subdivision size of each position in the second area according to a second constraint function of the two-dimensional model;
discretizing a boundary curve of the second area;
and performing mesh generation on all lines at each position of the second area.
Preferably, in the three-dimensional space, the optimizing the finite element mesh division of the second region according to the first constraint condition includes:
B-Rep data of a second area in the model constructed based on the CAD software are extracted;
calculating the mesh subdivision size range of each position in the second area according to a second constraint function of the three-dimensional model;
discretizing the boundary surface of the second area;
mesh generation is carried out on all the surfaces of all the positions of the second area;
a solid mesh of the three-dimensional model is generated.
A split mode improved modeling system for hydrogen production of an aluminum water reactor comprises:
a data acquisition module configured to read a structural model and a heat transfer model of an aluminum water reactor; the whole aluminum water reactor model is a first area, an area for placing reactants in the aluminum water reactor is a second area, and the first area comprises the second area;
a partitioning module configured to perform a finite element mesh partitioning on a first region;
a subdivision optimization module configured to perform finite element mesh subdivision optimization on the second region according to a first constraint condition;
an inspection module configured to inspect the grid of the second region optimized at S3, and if the inspection is passed, complete modeling of hydrogen production from the aluminum water reactor, otherwise, perform S3;
the first constraint condition is a function of the size of the grid and the distance between the grid and the position of the water drop; in a two-dimensional space, the influence of the independent variable change of the function in the y-axis direction on the size of the grid is larger than the influence of the independent variable change in the x-axis direction on the size of the grid; in the three-dimensional space, the influence of the change of the independent variable of the function in the y-axis direction on the size of the grid size is larger than the influence of the change of the independent variable in the x-axis direction and the independent variable in the z-axis direction on the size of the grid size.
Preferably, in the two-dimensional space, the first constraint condition that the subdivision optimization module is configured to execute is:
Preferably, in the three-dimensional space, the first constraint condition that the subdivision optimization module is configured to execute is:
A computer-readable storage medium storing a computer program which, when executed by a processor in a computing device, causes the computing device to perform the method of any of the above.
Detailed Description
In order that the above objects, features and advantages of the present invention can be more clearly understood, the present invention will be described in further detail with reference to specific embodiments. It should be noted that the embodiments and features of the embodiments of the present application may be combined with each other without conflict.
In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present invention, however, the present invention may be practiced otherwise than as specifically described herein, and thus the scope of the present invention is not limited by the specific embodiments disclosed below.
Example one
The embodiment provides a hydrogen production modeling method for an aluminum water reactor, which improves a subdivision mode.
The structure of the aluminum water reactor is subjected to two-dimensional or three-dimensional modeling, and CAD software based on modeling is CAD software which can provide a common geometric module developed based on ACIS or Parasolid and the like and comprises B-Rep. Reading a structural model and a heat transfer model of the aluminum water reactor; the whole aluminum water reactor model is a first area, the area in which reactants are placed in the aluminum water reactor is a second area, and the first area comprises the second area.
And carrying out finite element mesh division on the first area. And providing geometric information and topological information based on CAD software to perform volume mesh finite element meshing. Firstly, establishing a background grid of a space, obtaining the geometric characteristics of geometric information and the sizes of the geometric characteristics through characteristic scanning, and adding the geometric characteristics and the geometric sizes to the background grid. In the grid generation of the two-dimensional structure of the aluminum water reactor, a triangle or a quadrangle can be adopted, and in the grid generation of the three-dimensional space structure of the aluminum water reactor, a tetrahedron unit or a hexahedron unit can be adopted. For the grid generation of the overall space of the aluminum water reactor, a structured network is preferably used. For a conventional simple aluminum water reactor, the single-communication structural characteristics can be directly generated by adopting a mapping mode with simple algorithm, high speed and controllable density. For an improved complex multi-communication aluminum water reactor, the reactor is manually divided into a plurality of mappable areas, and then a structured grid is adopted to subdivide the reactor in each area.
And carrying out finite element mesh generation optimization on the second area according to the first constraint condition. And the unstructured grid is adopted aiming at the subdivision mode of the reactant area, so that any number of units can be distributed on each node. The unstructured mesh is generally applied to subdivision of a complex geometric structure, although the geometric structure of the reactant area in the aluminum water reactor is not complex, the structured mesh is difficult to well meet the constraint requirement in order to facilitate constraint of a subsequent progressive mesh subdivision mode, so that the unstructured mesh is subdivided by combining a control method, a triangle or a quadrangle is adopted under the condition of two-dimensional mesh subdivision, and a tetrahedron or a hexahedron is adopted under the condition of three-dimensional space mesh subdivision. For mesh generation of a three-dimensional space, preferably, tetrahedral units with good adaptability are adopted for generation, or at least partial tetrahedral units are adopted for generation, so that difficulty in automatic generation of full hexahedral meshes in a curved three-dimensional area is avoided.
The generation unit is generated when the generation node is selected for the subdivision of the reactant area, and the position of the node is controlled when the node is generated, so that the shape, the volume and the density of the generated unit are effectively controlled, and the different and better requirements of different positions of the reactant area on the subdivision density are met. The first constraint condition is a function of the size of the grid and the distance between the grid and the position of the water drop; in a two-dimensional space, the influence of the independent variable change of the function in the y-axis direction on the size of the grid is larger than the influence of the independent variable change in the x-axis direction on the size of the grid; in the three-dimensional space, the influence of the change of the independent variable of the function in the y-axis direction on the size of the grid size is larger than the influence of the change of the independent variable in the x-axis direction and the independent variable in the z-axis direction on the size of the grid size.
The method for subdividing the reactant region of the two-dimensional model comprises the following steps:
B-Rep data of a reactant region in a model constructed based on CAD software are extracted;
calculating the mesh subdivision size of each position in the reactant region according to a second constraint function of the two-dimensional model;
discretizing a boundary curve of the reactant region;
mesh generation was performed for all locations of the reactant zones.
The mesh division size is calculated as self-adaptive size control, and the mesh division modes with different positions and different densities are better and adapted to the differential reaction efficiency of reactants at different positions through a plurality of size control sources; discretizing the boundary curve of the reactant area and meshing all the positions of the reactant area are realized by adopting a mature realization mode in the field, and the realization of the technical effect of the invention is not influenced.
The constraint conditions for specifying the subdivision size are as follows:
wherein S ismaxTo a set maximum value of area, SminFor the set minimum value of the area, S (i, j) is the area constraint formula, i0Is a pixel coordinate value, j, of the water drop position in the x-axis direction0Is the pixel coordinate value of the water drop position in the y-axis direction, i, j are node coordinates, n is an exponential coefficient, a1、a2In order to match the coefficients of the coefficients,
is a range coefficient.
The method for subdividing the reactant region of the three-dimensional model comprises the following steps:
B-Rep data of a reactant region in a model constructed based on CAD software are extracted;
calculating mesh subdivision volumes of all positions in the reactant region according to a second constraint function of the three-dimensional model;
discretizing the boundary curve of the reactant region according to the mesh division volumes of the positions. The discretization of the three-dimensional model is realized based on Riemann measurement, after the discretization is finished, discrete points are projected to a parameter space of the three-dimensional model to form meshes of all curved surfaces, and the meshes of all the curved surfaces are combined to form a surface mesh of the whole area of the reactor reactant area.
Carrying out mesh subdivision on all surfaces of each position of a reactant area;
a solid mesh of the three-dimensional model is generated.
The mesh division size is calculated to be self-adaptive volume control, and the mesh division mode with different positions and different densities is adopted to adapt to the differential reaction efficiency of reactants at different positions through the combination of a volume control source and other control sources; the mesh subdivision is carried out on all the surfaces of all the positions of the reactant area, and the entity mesh of the three-dimensional model is generated by adopting a mature realization mode in the field, so that the realization of the technical effect of the invention is not influenced.
The constraint conditions for specifying the subdivision volume are as follows:
And (3) checking the grids of the reaction region optimized by the method, if the grids of the reaction region meet the conditions, completing modeling of hydrogen production of the aluminum water reactor, and otherwise, re-meshing the grids of the reaction region.
Grid constraints for two dimensions include: the side length ratio of the grid, the Jocabian ratio, the distortion angle of the polygonal unit and the warping angle are all within a set range.
The grid constraints for three dimensions include: the side length ratio of the grid, the Jocabian ratio, the distortion value of the volume of the polyhedron unit and the collapse value of the polyhedron unit are all within a set range.
A split mode improved modeling system for hydrogen production of an aluminum water reactor comprises:
a data acquisition module configured to read a structural model and a heat transfer model of an aluminum water reactor; the whole aluminum water reactor model is a first area, an area for placing reactants in the aluminum water reactor is a second area, and the first area comprises the second area;
a partitioning module configured to perform a finite element mesh partitioning on a first region;
a subdivision optimization module configured to perform finite element mesh subdivision optimization on the second region according to a first constraint condition;
an inspection module configured to inspect the grid of the second region optimized at S3, and if the inspection is passed, complete modeling of hydrogen production from the aluminum water reactor, otherwise, perform S3;
the first constraint condition is a function of the size of the grid and the distance between the grid and the position of the water drop; in a two-dimensional space, the influence of the independent variable change of the function in the y-axis direction on the size of the grid is larger than the influence of the independent variable change in the x-axis direction on the size of the grid; in the three-dimensional space, the influence of the change of the independent variable of the function in the y-axis direction on the size of the grid size is larger than the influence of the change of the independent variable in the x-axis direction and the independent variable in the z-axis direction on the size of the grid size.
Preferably, in the two-dimensional space, the first constraint condition that the subdivision optimization module is configured to execute is:
wherein S ismaxTo a set maximum value of area, SminFor the set minimum value of the area, S (i, j) is the area constraint formula, i0Is a pixel coordinate value, j, of the water drop position in the x-axis direction0Is the pixel coordinate value of the water drop position in the y-axis direction, i, j are node coordinates, n is an exponential coefficient, a1、a2In order to match the coefficients of the coefficients,
is a range coefficient.
Preferably, in the three-dimensional space, the first constraint condition that the subdivision optimization module is configured to execute is:
The present embodiment also provides a computer-readable storage medium storing a computer program; the computer program, when executed by a processor in a computing device, causes the computing device to perform the method of any one of the above.
The method establishes a constraint function of the grid area by optimizing the grid division of a reactant area in the aluminum water reactor on the basis of fully analyzing the reaction characteristics of reactant reaction in a plurality of axial directions, and matches the reactant area with better grid quantity: the mesh generation is dense at a position close to the position of the water drop, and is loose at a position far away from the position of the water drop. The method solves the problems of low calculation speed and inaccurate calculation caused by oversight and sparse meshes in the modeling and simulation process of the aluminum water reactor by more reasonably distributing the mesh subdivision quantity, restricts the total quantity of the total mesh quantity, effectively distributes meshes and improves the calculation efficiency.
The foregoing description, for purposes of explanation, used specific nomenclature to provide a thorough understanding of the embodiments. It will be apparent, however, to one skilled in the art that the embodiments may be practiced without the specific details. Thus, the foregoing descriptions of specific embodiments described herein are presented for purposes of illustration and description. They are not intended to be exhaustive or to limit the embodiments to the precise forms disclosed. It will be apparent to those skilled in the art that many modifications and variations are possible in light of the above teaching. Additionally, the terms above and below, or their synonyms, do not necessarily refer to absolute positions relative to an external reference when used herein to refer to the position of a component.
Moreover, the foregoing description includes many concepts and features that may be combined in various ways to achieve various benefits and advantages. Thus, features, components, elements and/or concepts from a variety of different sources may be combined to produce embodiments or implementations not necessarily shown or described in this specification. Furthermore, not all features, components, elements and/or concepts shown in the description may be required to be in any particular embodiment and/or implementation. It is to be understood that such embodiments and/or implementations fall within the scope of the present description.
Claims (9)
1. A hydrogen production modeling method of an aluminum water reactor with an improved subdivision mode comprises the following steps:
s1: reading a structural model and a heat transfer model of the aluminum water reactor; the whole aluminum water reactor model is a first area, an area for placing reactants in the aluminum water reactor is a second area, and the first area comprises the second area;
s2: carrying out finite element mesh subdivision on the first area;
s3: carrying out finite element mesh generation optimization on the second area according to the first constraint condition;
s4: checking the grid of the second region optimized by S3, if the grid passes the check, completing modeling of hydrogen production of the aluminum water reactor, otherwise, performing S3;
the first constraint condition is a function of the size of the grid and the distance between the grid and the position of the water drop; in a two-dimensional space, the influence of the independent variable change of the function in the y-axis direction on the size of the grid is larger than the influence of the independent variable change in the x-axis direction on the size of the grid; in the three-dimensional space, the influence of the change of the independent variable of the function in the y-axis direction on the size of the grid size is larger than the influence of the change of the independent variable in the x-axis direction and the independent variable in the z-axis direction on the size of the grid size.
2. The modeling method for hydrogen production of the aluminum water reactor with the improved subdivision mode is characterized in that in a two-dimensional space, the first constraint condition is as follows:
wherein S ismaxTo a set maximum value of area, SminFor the set minimum value of the area, S (i, j) is the area constraint formula, i0Is a pixel coordinate value, j, of the water drop position in the x-axis direction0Is the pixel coordinate value of the water drop position in the y-axis direction, i, j are node coordinates, n is an exponential coefficient, a1、a2In order to match the coefficients of the coefficients,
is a range coefficient.
3. The modeling method for hydrogen production of the aluminum water reactor with the improved subdivision mode is characterized in that in a three-dimensional space, the first constraint condition is as follows:
wherein S ismaxTo a set maximum value of area, SminFor the set minimum value of the area, S (i, j, k) is the area constraint formula, i0Is a pixel coordinate value, j, of the water drop position in the x-axis direction0Is a pixel coordinate value, k, of the water drop position in the y-axis direction0Is the pixel coordinate value of the water drop position in the z-axis direction, i, j, k are node coordinates, n is an exponential coefficient, a1、a2、a3In order to match the coefficients of the coefficients,
is a range coefficient.
4. The modeling method for hydrogen production of an aluminum water reactor with improved subdivision according to claim 1, characterized in that the optimization of finite element mesh subdivision of the second area according to the first constraint condition in two-dimensional space comprises:
B-Rep data of a second area in the model constructed based on the CAD software are extracted;
calculating the mesh subdivision size of each position in the second area according to a second constraint function of the two-dimensional model;
discretizing a boundary curve of the second area;
and performing mesh generation on all lines at each position of the second area.
5. The modeling method for hydrogen production of an aluminum water reactor with improved subdivision according to claim 1, characterized in that the optimization of finite element mesh subdivision of the second region according to the first constraint condition in the three-dimensional space comprises:
B-Rep data of a second area in the model constructed based on the CAD software are extracted;
calculating the mesh subdivision size range of each position in the second area according to a second constraint function of the three-dimensional model;
discretizing the boundary surface of the second area;
mesh generation is carried out on all the surfaces of all the positions of the second area;
a solid mesh of the three-dimensional model is generated.
6. A split mode improved hydrogen production modeling system of an aluminum water reactor is characterized by comprising:
a data acquisition module configured to read a structural model and a heat transfer model of an aluminum water reactor; the whole aluminum water reactor model is a first area, an area for placing reactants in the aluminum water reactor is a second area, and the first area comprises the second area;
a partitioning module configured to perform a finite element mesh partitioning on a first region;
a subdivision optimization module configured to perform finite element mesh subdivision optimization on the second region according to a first constraint condition;
the checking module is configured to check the optimized grid of the second region, if the optimized grid of the second region passes the checking, modeling of hydrogen production of the aluminum water reactor is completed, and otherwise, finite element grid division optimization is performed on the second region according to a first constraint condition;
the first constraint condition is a function of the size of the grid and the distance between the grid and the position of the water drop; in a two-dimensional space, the influence of the independent variable change of the function in the y-axis direction on the size of the grid is larger than the influence of the independent variable change in the x-axis direction on the size of the grid; in the three-dimensional space, the influence of the change of the independent variable of the function in the y-axis direction on the size of the grid size is larger than the influence of the change of the independent variable in the x-axis direction and the independent variable in the z-axis direction on the size of the grid size.
7. The improved subdivision scheme aluminum water reactor hydrogen production modeling system as claimed in claim 6, wherein in two dimensions, the subdivision optimization module is configured to execute the first constraint condition that:
wherein S ismaxTo a set maximum value of area, SminFor the set minimum value of the area, S (i, j) is the area constraint formula, i0Is a pixel coordinate value, j, of the water drop position in the x-axis direction0Is the pixel coordinate value of the water drop position in the y-axis direction, i, j are node coordinates, n is an exponential coefficient, a1、a2In order to match the coefficients of the coefficients,
is a range coefficient.
8. The improved subdivision scheme aluminum water reactor hydrogen production modeling system of claim 6, wherein in a three-dimensional space, the subdivision optimization module is configured to execute a first constraint condition that:
wherein S ismaxTo a set maximum value of area, SminFor the set minimum value of the area, S (i, j, k) is the area constraint formula, i0Is a pixel coordinate value, j, of the water drop position in the x-axis direction0Is a pixel coordinate value, k, of the water drop position in the y-axis direction0Is the pixel coordinate value of the water drop position in the z-axis direction, i, j, k are node coordinates, n is an exponential coefficient, a1、a2、a3In order to match the coefficients of the coefficients,
is a range coefficient.
9. A computer-readable storage medium storing a computer program, the computer program, when executed by a processor in a computing device, causing the computing device to perform the method of any of claims 1-5.
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