CN104036540A - Parametric adaptive grid generation and encryption method used for nuclear waste repository grid modeling - Google Patents

Parametric adaptive grid generation and encryption method used for nuclear waste repository grid modeling Download PDF

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CN104036540A
CN104036540A CN201410086452.6A CN201410086452A CN104036540A CN 104036540 A CN104036540 A CN 104036540A CN 201410086452 A CN201410086452 A CN 201410086452A CN 104036540 A CN104036540 A CN 104036540A
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CN104036540B (en
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刘涛
吴亚东
韩永国
赵冬梅
李孟伟
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Southwest University of Science and Technology
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Abstract

The invention discloses a parametric adaptive grid generation and encryption method used for nuclear waste repository grid modeling. The method comprises the following steps: firstly, setting the height of a solidified body, the radius of the solidified body, the height of backfill materials and the radius of the backfill materials; then, setting the origin of a space coordinate system, calculating the coordinates of ten key points, generating eight key semicircle sections according to ten key points, then, generating the key surface of an inner cylinder, and vertically upwards stretching to form the inner cylinder; generating the key surface of an outer cylinder, and vertically upwards stretching to form the outer cylinder; subtracting the inner cylinder from the outer cylinder to obtain a hollow grid model; carrying out first-time three-dimensional subdivision to the grid model by an adaptive algorithm; finally, carrying out three-dimensional encryption to a grid by an adaptive encryption algorithm; and ending. According to the invention, a nuclear waste repository grid modeling process is simplified, time consumption is reduced, and grid data which conforms to a requirement can be automatically generated.

Description

A kind of parametric self-adaptive grid for nuclear waste repository mesh modeling generates and encryption method
Technical field
The present invention relates to nuclear waste disposal technical field, in particular a kind of parametric self-adaptive grid for nuclear waste repository mesh modeling generates and encryption method.
Background technology
Nuclear waste disposal, for nuclear power, is directly restriction and the key factor that affects core career development.End 2012, China has had 15 nuclear reactors to put into operation, separately has 26 building, for solving the nuclear waste disposal problem of day by day closing on, China has clearly proposed to build up nuclear waste disposal subterranean laboratory at the year two thousand twenty, and the year two thousand fifty is built up nuclear waste underground disposal storehouse.
Deep Geological Disposal of High-level Radioactive Wastes is that high-level waste is embedded in the geologic body apart from the dark approximately 500~1000m in earth's surface, and is aided with the long-range circumstances safety of engineering barrier to guarantee that high-level waste is disposed.The underground works of disposing high-level waste is called " high level radioactive waste repository ".High level radioactive waste repository adopts the mentality of designing of " multibarrier system " conceptual model, solidification of waste body (spentnuclear fuel or glass solidification piece) be stored in dedicated waste tanks, coated outside padded coaming, then be outwards country rock (grouan, eruptive tuff, rock salt, tonstein etc.).In " multibarrier system ", generally refuse body firming body, the gentle refunds underfill material of dedicated waste tanks are called to " artificial barrier ", geologic body is around called to " natural cover for defense ".
In numerical simulation, must adopt the method for spatial spreading by solved discrete region, form grid model.Artificial barrier system is simplified, can be obtained the computing grid model for numerical simulation, whole simulated object is reduced to a source (firming body that comprises nuke rubbish) by this grid model, and perimeter (buffer/backfill material).
For the computing grid model after simplifying, can further be reduced to 4 parameters and set, respectively: firming body height, firming body radius, backfilling material height and backfilling material radius.According to set 4 parameters, can directly generate the exterior contour of required grid, and pass through adaptive algorithm, mesh space is carried out to automatically first subdivision, obtaining on the basis of first subdivision grid, can carry out adaptive refinement to it, to obtain better simulate effect.
Taking grid Core Generator GridGen as example, it generates such grid, need to generate complete grid from the such order of point-> line-> face-> body, its generative process is consuming time more, and maloperation probability is large.
Summary of the invention
Technical matters to be solved by this invention is the defect for prior art, provides a kind of parametric self-adaptive grid for nuclear waste repository mesh modeling to generate and encryption method.
Technical scheme of the present invention is as follows:
A kind of parametric self-adaptive grid generation method for nuclear waste repository mesh modeling, its step is as follows:
(1) set firming body height ih, firming body radius ir, backfilling material height oh and tetra-dimensional parameters of backfilling material radius or;
(2) initial point of setting space coordinate system, the bottom surface centre point of the exterior circular column that default setting is grid model;
(3) calculate 10 key point coordinates, its order is as follows: using the center of circle, bottom surface of exterior circular column as initial point, first calculating and be used for generating 5 key point coordinates of inner cylinder, is respectively P1, P2, and P3, P4 and P5, the computing formula of point coordinate is as following table:
Coordinate X Y Z
P1 ir 0 (oh-ih)/2
P2 -ir 0 (oh-ih)/2
P3 0 0 (oh-ih)/2
P4 0 ir (oh-ih)/2
P5 0 -ir (oh-ih)/2
On 5 key point coordinate bases that obtain for generating inner cylinder, generate for generating 5 key point coordinates of exterior circular column, be respectively P19, P20, P21, P22 and P23, the computing formula of point coordinate is as following table:
Coordinate X Y Z
P19 0 0 0
P20 or 0 0
P21 -or 0 0
P22 0 or 0
P23 0 -or 0
(4) generate circular arc, tie point is as follows successively:
Generate the circular arc 1:Circle(1 based on key point 2,3 and 4)={ 2,3,4};
Generate the circular arc 2:Circle(2 based on key point 4,3 and 1)={ 4,3,1};
Generate the circular arc 3:Circle(3 based on key point 1,3 and 5)={ 1,3,5};
Generate the circular arc 4:Circle(4 based on key point 5,3 and 2)={ 5,3,2};
Generate the circular arc 29:Circle(29 based on key point 21,19 and 22)={ 21,19,22};
Generate the circular arc 30:Circle(30 based on key point 22,19 and 20)={ 22,19,20};
Generate the circular arc 31:Circle(31 based on key point 20,19 and 23)={ 20,19,23};
Generate the circular arc 32:Circle(32 based on key point 23,19 and 21)={ 23,19,21};
(5) generate inner cylinder face and body: generate closed line 5, formed by circular arc 1,2,3 and 4, as follows: Line Loop(5)={ 1,2,3,4}; Generate face 6:Plane Surface(6 by closed line 5)={ 5}; Taking face 6 as basis, to directly over the ih length that stretches, obtain inner cylinder: Extrude{0,0, ih}{Surface{6}; ; By stretching, can implicitly obtain other 5 faces, be numbered respectively 28,15,19,23 and 27;
(6) generate external cylindrical surface and body: generate closed line 33, formed by circular arc 31,32,29 and 30, as follows: Line Loop(33)={ 31,32,29,30}; Generate face 34:Plane Surface(34 by closed line 33)={ 33}; Taking face 34 as basis, to directly over the oh length that stretches, obtain exterior circular column: Extrude{0,0, oh}{Surface{34}; ; By stretching, can implicitly obtain other 5 faces, be numbered respectively 56,43,47,51 and 55;
(7) each face of outside cylinder is connected into continuous surface, again each face of interior cylinder is connected into continuous surface, by these two continuous surface generating mesh body region, as follows: 1. to generate outside continuous surface, form continuous surface 57:Surface Loop(57 by face 56,43,34,47,51 and 55)={ 56,43,34,47,51,55}; 2. generate inner continuous surface, form continuous surface 58:Surface Loop (58)={ 28,15,6,19,23,27} by face 28,15,6,19,23 and 17; 3. on the basis of inside and outside continuous surface, generate body 59:Volume(59)={ 57,58};
(8) first adaptive mesh model space subdivision, is divided into two steps: 1., taking the face of the grid that generated as basis, generate on the whole discrete point, the discrete point generating is carried out to triangle subdivision, i.e. two-dimentional subdivision; 2. in the space of grid, generate discrete point, to the discrete point generating, comprise the point on face, carry out tetrahedron subdivision, i.e. three-dimensional dividing; Its whole flow process is: from subdivision, in reading model all then generate discrete point in each, on the discrete point basis generating, carry out Delaunay triangle subdivision, obtain the triangle on face; Complete on the basis of triangle subdivision, all bodies in reading model, generate the discrete point in body, then the discrete point generating is carried out to Delaunay tetrahedron subdivision, obtain the tetrahedron in body, after perfect aspect subdivision, the first subdivision process of whole model finishes.
A kind of parametric self-adaptive mesh refinement method for nuclear waste repository mesh modeling, its core concept is to get its mid point as new net point in the grid line segment having obtained, according to new net point, contain original net point, regenerate triangle and tetrahedron; Its concrete steps are as follows:
(1) read Points And lines segment datas all in "current" model, form respectively some list and list of line segments;
(2) each line segment in list of line segments is all calculated to its mid point, the mid point calculating is joined in a list;
(3) generate face triangle and tetrahedron according to new some list and list of line segments, judge whether the triangle or the tetrahedron that generate meet Delaunay characteristic simultaneously, if met, preserve, otherwise just abandon;
(4) after all discrete points are processed according to step (3), finish encryption flow.
The present invention simplifies the flow process that nuclear waste repository grid model is set up, and reduces time loss, and can automatically generate satisfactory grid data.
Brief description of the drawings
Fig. 1 is entire flow figure of the present invention.
Fig. 2 is the surface chart of setup parameter.
Fig. 3 is that grid key point coordinate calculates.
Fig. 4 is first 3 dimension subdivision flow processs.
Fig. 5 is the grid that first subdivision obtains; Wherein (a) is the face display mode of grid body, (b) is wire frame display model.
Fig. 6 is adaptive mesh refinement schematic diagram; Wherein (a) is original mesh body, (b) for calculating line segment central point, (c) for to regenerate tetrahedron and triangle according to detail network lattice point.
Fig. 7 is adaptive mesh cryptographic algorithm flow process.
Fig. 8 once encrypts the grid obtaining; Wherein (a) is the face display mode of grid body, (b) is wire frame display model.
Embodiment
Below in conjunction with specific embodiment, the present invention is described in detail.
Embodiment
With reference to Fig. 1 flow process.
(1) set firming body height ih, firming body radius ir, backfilling material height oh and tetra-dimensional parameters of backfilling material radius or;
In the mesh modeling process of the useless disposal of certain core storehouse, the dimensional parameters of setting is as shown in table 1 respectively.
Table 1 dimensional parameters
Dimensional parameters title Dimensional parameters value (unit: rice)
Firming body height (ih) 3.0
Firming body radius (ir) 1.0
Backfilling material height (oh) 6.0
Backfilling material radius (or) 2.0
The interface of setup parameter as shown in Figure 2.
(2) initial point of setting space coordinate system, the bottom surface centre point of the exterior circular column that default setting is grid model;
(3) calculate 10 key coordinate points, the position of point as shown in Figure 3: by 4 sizes that obtained, calculate 10 key point coordinates, as follows:
First calculating 5 key point coordinates for generating inner cylinder, is respectively P1, P2, and P3, P4 and P5, the computing formula of point coordinate is as table 2.
The key point coordinate of table 2 inner cylinder
Coordinate X Y Z
P1 1.0 0 1.5
P2 -1.0 0 1.5
P3 0 0 1.5
P4 0 1.0 1.5
P5 0 -1.0 1.5
On 5 key point coordinate bases that obtain for generating inner cylinder, generate 5 key point coordinates for generating exterior circular column, 5 key points are respectively P19, P20, P21, P22 and P23, the computing formula of point coordinate is as table 3.
The key point coordinate of table 3 exterior circular column
Coordinate X Y Z
P19 0 0 0
P20 2.0 0 0
P21 -2.0 0 0
P22 0 2.0 0
P23 0 -2.0 0
Obtain 10 key point coordinates for generating whole grid model, as shown in Figure 3.
(4) generate circular arc, tie point is as follows successively:
Generate the circular arc 1 based on key point 2,3 and 4, as follows: Circle (1)={ 2,3,4};
Generate the circular arc 2 based on key point 4,3 and 1, as follows: Circle (2)={ 4,3,1};
Generate the circular arc 3 based on key point 1,3 and 5, as follows: Circle (3)={ 1,3,5};
Generate the circular arc 4 based on key point 5,3 and 2, as follows: Circle (4)={ 5,3,2};
Generate the circular arc 29 based on key point 21,19 and 22, as follows: Circle (29)={ 21,19,22};
Generate the circular arc 30 based on key point 22,19 and 20, as follows: Circle (30)={ 22,19,20};
Generate the circular arc 31 based on key point 20,19 and 23, as follows: Circle (31)={ 20,19,23};
Generate the circular arc 32 based on key point 23,19 and 21, as follows: Circle (32)={ 23,19,21};
(5) generate inner cylinder face and body, as follows:
Face is to be made up of closed line, therefore, first wants the line of structural closure, as follows:
Generate closed line 5, formed by circular arc 1,2,3 and 4, as follows: Line Loop (5)={ 1,2,3,4};
By closed line 5 generation faces 6, as follows: Plane Surface (6)={ 5};
On the basis that obtains face, can generate body, its ultimate principle is taking the face 6 of above-mentioned generation as basis, to directly over the ih length that stretches, obtain inner cylinder, as follows: Extrude{0,0, ih}{Surface{6}; ; By stretching, can implicitly obtain other 5 faces, be numbered respectively 28,15,19,23 and 27.
(6) generate external cylindrical surface and body, as follows:
Face is to be made up of closed line, therefore, first wants the line of structural closure, as follows:
Generate closed line 33, formed by the circular arc 31,32,29 and 30 generating above, as follows: LineLoop (33)={ 31,32,29,30};
By closed line 33 generation faces 34, as follows: Plane Surface (34)={ 33};
On the basis that obtains face, can generate body, its ultimate principle is taking face 34 as basis, to directly over the oh length that stretches, obtain exterior circular column, as follows: Extrude{0,0, oh}{Surface{34}; ; By stretching, can implicitly obtain other 5 faces, be numbered respectively 56,43,47,51 and 55.
(7) each face of outside cylinder is connected into continuous surface, again each face of interior cylinder is connected into continuous surface, by these two continuous surface generating mesh body region, as follows: first to generate outside continuous surface, form continuous surface 57 by face 56,43,34,47,51 and 55, as follows: Surface Loop (57)={ 56,43,34,47,51,55};
Then generate inner continuous surface, form continuous surface 58 by face 28,15,6,19,23 and 17, as follows:
Surface?Loop(58)={28,15,6,19,23,27};
Obtaining, on the basis of inside and outside continuous surface, generating body 59, as follows: Volume (59)={ 57,58};
(8) first adaptive mesh model space subdivision
The space subdivision of adaptive mesh model is divided into two steps, and step 1, taking the face of the grid that generated as basis, generates discrete point on the whole, and the discrete point generating is carried out to triangle subdivision, i.e. two-dimentional subdivision; Step 2 is to generate discrete point in the space of grid, and the discrete point (comprising the point on face) generating is carried out to tetrahedron subdivision, i.e. three-dimensional dividing, and whole flow process is as shown in Figure 4.
From subdivision, need all in reading model, then in each, generate discrete point, on the discrete point basis generating, carry out Delaunay triangle subdivision, obtain the triangle on face; Complete on the basis of triangle subdivision, all bodies (only having in the method an individuality) in reading model, generate the discrete point in body, then the discrete point generating is carried out to Delaunay tetrahedron subdivision, obtain the tetrahedron in body, after perfect aspect subdivision, the first subdivision process of whole model finishes.
According to the parameter of this setting, can obtain the grid body of first subdivision, as shown in Figure 5.
The grid volume data that first subdivision obtains is as shown in table 4.
The grid volume data that the first subdivision of table 4 obtains
? Value
Net point is counted 668
Grid surface face number 1192
Grid body body number 2200
(9) adaptive mesh based on first subdivision is encrypted
The grid data obtaining based on first subdivision, adopting the core concept of adaptive refinement is to get its mid point as new net point in the grid line segment having obtained, regenerate dough sheet (triangle) and tetrahedron (grid body) according to new net point (containing original net point), shown in its core concept Fig. 6.
The core concept that adaptive mesh based on first subdivision is encrypted is: on the grid data basis that has obtained first subdivision, to the tetrahedral Mei Tiao line segment computing center point having generated, original single tetrahedral 6 line segments can be divided into 12 like this, carry out subdivision tetrahedron according to tetrahedral original vertices and 6 centerline calculating again, thereby realize adaptive refinement, shown in whole procedure chart 6.
The algorithm flow that whole adaptive mesh is encrypted as shown in Figure 7.
The flow process of whole encryption is on the process being based upon as shown in Figure 6, and its flow process is:
A) encryption flow starts, and reads Points And lines segment datas all in "current" model, forms respectively some list and list of line segments;
B) each line segment in list of line segments is all calculated to its mid point, the mid point calculating is joined in a list;
C) generate face triangle and tetrahedron according to new some list and the list of some section, judge whether the triangle or the tetrahedron that generate meet Delaunay characteristic simultaneously, if met, preserve, otherwise just abandon;
D) to all discrete points according to step C) process after, finish encryption flow.
In the situation that hardware resource is supported, this adaptive refinement process can be carried out repeatedly.
By an adaptive refinement, shown in the refined net body Fig. 8 obtaining.
The grid volume data obtaining after once encrypting is as shown in table 5.
The grid volume data that table 5 obtains after once encrypting
? Value
Net point is counted 4144
Grid surface face number 4768
Grid body body number 18361
Should be understood that, for those of ordinary skills, can be improved according to the above description or convert, and all these improvement and conversion all should belong to the protection domain of claims of the present invention.

Claims (2)

1. the parametric self-adaptive grid generation method for nuclear waste repository mesh modeling, is characterized in that, its step is as follows:
(1) set firming body height ih, firming body radius ir, backfilling material height oh and tetra-dimensional parameters of backfilling material radius or;
(2) initial point of setting space coordinate system, the bottom surface centre point of the exterior circular column that default setting is grid model;
(3) calculate 10 key point coordinates, its order is as follows: using the center of circle, bottom surface of exterior circular column as initial point, first calculating and be used for generating 5 key point coordinates of inner cylinder, is respectively P1, P2, and P3, P4 and P5, the computing formula of point coordinate is as following table:
Coordinate X Y Z P1 ir 0 (oh-ih)/2 P2 -ir 0 (oh-ih)/2 P3 0 0 (oh-ih)/2 P4 0 ir (oh-ih)/2 P5 0 -ir (oh-ih)/2
On 5 key point coordinate bases that obtain for generating inner cylinder, generate for generating 5 key point coordinates of exterior circular column, be respectively P19, P20, P21, P22 and P23, the computing formula of point coordinate is as following table:
Coordinate X Y Z P19 0 0 0 P20 or 0 0 P21 -or 0 0 P22 0 or 0 P23 0 -or 0
(4) generate circular arc, tie point is as follows successively:
Generate the circular arc 1:Circle(1 based on key point 2,3 and 4)={ 2,3,4};
Generate the circular arc 2:Circle(2 based on key point 4,3 and 1)={ 4,3,1};
Generate the circular arc 3:Circle(3 based on key point 1,3 and 5)={ 1,3,5};
Generate the circular arc 4:Circle(4 based on key point 5,3 and 2)={ 5,3,2};
Generate the circular arc 29:Circle(29 based on key point 21,19 and 22)={ 21,19,22};
Generate the circular arc 30:Circle(30 based on key point 22,19 and 20)={ 22,19,20};
Generate the circular arc 31:Circle(31 based on key point 20,19 and 23)={ 20,19,23};
Generate the circular arc 32:Circle(32 based on key point 23,19 and 21)={ 23,19,21};
(5) generate inner cylinder face and body: generate closed line 5, formed by circular arc 1,2,3 and 4, as follows: Line Loop(5)={ 1,2,3,4}; Generate face 6:Plane Surface(6 by closed line 5)={ 5}; Taking face 6 as basis, to directly over the ih length that stretches, obtain inner cylinder: Extrude{0,0, ih}{Surface{6}; ; By stretching, can implicitly obtain other 5 faces, be numbered respectively 28,15,19,23 and 27;
(6) generate external cylindrical surface and body: generate closed line 33, formed by circular arc 31,32,29 and 30, as follows: Line Loop(33)={ 31,32,29,30}; Generate face 34:Plane Surface(34 by closed line 33)={ 33}; Taking face 34 as basis, to directly over the oh length that stretches, obtain exterior circular column: Extrude{0,0, oh}{Surface{34}; ; By stretching, can implicitly obtain other 5 faces, be numbered respectively 56,43,47,51 and 55;
(7) each face of outside cylinder is connected into continuous surface, again each face of interior cylinder is connected into continuous surface, by these two continuous surface generating mesh body region, as follows: 1. to generate outside continuous surface, form continuous surface 57:Surface Loop(57 by face 56,43,34,47,51 and 55)={ 56,43,34,47,51,55}; 2. generate inner continuous surface, form continuous surface 58:Surface Loop(58 by face 28,15,6,19,23 and 17)={ 28,15,6,19,23,27}; 3. on the basis of inside and outside continuous surface, generate body 59:Volume(59)={ 57,58};
(8) first adaptive mesh model space subdivision, is divided into two steps: 1., taking the face of the grid that generated as basis, generate on the whole discrete point, the discrete point generating is carried out to triangle subdivision, i.e. two-dimentional subdivision; 2. in the space of grid, generate discrete point, to the discrete point generating, comprise the point on face, carry out tetrahedron subdivision, i.e. three-dimensional dividing; Its whole flow process is: from subdivision, in reading model all then generate discrete point in each, on the discrete point basis generating, carry out Delaunay triangle subdivision, obtain the triangle on face; Complete on the basis of triangle subdivision, all bodies in reading model, generate the discrete point in body, then the discrete point generating is carried out to Delaunay tetrahedron subdivision, obtain the tetrahedron in body, after perfect aspect subdivision, the first subdivision process of whole model finishes.
2. the parametric self-adaptive mesh refinement method for nuclear waste repository mesh modeling, it is characterized in that, its core concept is to get its mid point as new net point in the grid line segment having obtained, according to new net point, contain original net point, regenerate triangle and tetrahedron; Its concrete steps are as follows:
(1) read Points And lines segment datas all in "current" model, form respectively some list and list of line segments;
(2) each line segment in list of line segments is all calculated to its mid point, the mid point calculating is joined in a list;
(3) generate face triangle and tetrahedron according to new some list and list of line segments, judge whether the triangle or the tetrahedron that generate meet Delaunay characteristic simultaneously, if met, preserve, otherwise just abandon;
(4) after all discrete points are processed according to step (3), finish encryption flow.
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