CN106484991A - A kind of Monte Carlo geometric manipulations method of coupling spline surface and analytic surface in nuclear mockup analysis - Google Patents
A kind of Monte Carlo geometric manipulations method of coupling spline surface and analytic surface in nuclear mockup analysis Download PDFInfo
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Abstract
The invention discloses coupling the Monte Carlo geometric manipulations method of spline surface and analytic surface in a kind of nuclear mockup analysis.When carrying out reactor building or fusion reactor Monte Carlo PARTICLE TRANSPORT FROM calculates, due to there is the spline surface of complexity in geometric model, traditional Monte-Carlo code cannot be processed, and needs model is simplified.The present invention carries out classification process to the curved surface of solid in CAD model, analytic surface is described using algebraic equation, spline surface is described using parametric equation, achieve the geometric manipulations to arbitrary surface for the Monte-Carlo code, utilize the confined space bounding box of spline surface parametric equation simultaneously, the geometric manipulations containing spline surface are accelerated.The present invention parses surface geometry processing method compared to the Monte Carlo only using algebraic equation, and original geometry model is not done with any simplification it is ensured that the computational accuracy of model；Compared to the Monte Carlo spline surface geometric manipulations method only using parametric equation, improve the efficiency of calculating.
Description
Technical field
The present invention relates in the Monte Carlo PARTICLE TRANSPORT FROM in the field such as reactor physics, Neutronics analysis arbitrary surface several
What processing method.
Background technology
Fusion energy is one of leading form of the human future energy, be also be presently recognized that can finally solve mankind society
Can energy problem and one of environmental problem, important channel of promotion human social.Nuclear mockup analysis is fusion energy
The necessary means safely, effectively applied.Because fusion facility has the fine features of variously-shaped complexity, comprise large amount of complex bent
Face (, exists radiosensitive in a large number or comprises different purposes holes taking International Thermal-Nuclear Experimental Reactor ITER as a example in model
Fine structure needs to model), the accurate sunykatuib analyses that traditional method of really coming to a conclusion can not meet fusion facility require.And cover spy
The great advantage of Caro particle handling technique is can realistically describe very much things feature and the process with random nature,
And geometric model and material are limited little, can accurately simulate the PARTICLE TRANSPORT FROM under complex source, material with complex and complex geometry
Problem, is therefore widely used in the nuclear mockup analysis of fusion reactor.
Radiation dose in reactor building calculates, and the purpose that it calculates is that the radiation dose in Factory Building is estimated,
To optimize Factory Building shielding design (thickness of wall body, duct thickness etc.), during for reactor actual motion, determine that staff is permissible
Residence time.Original was all by the way of simple point assesses calculation, speed fast it is adaptable to Factory Building interior conduit less (or
The pipeline playing a major role is less), but during for including all higher pipeline of a large amount of source strengths in Factory Building, computational accuracy is relatively
Low it is therefore desirable to be processed using Monte Carlo method.
Using covering card program before carrying out PARTICLE TRANSPORT FROM simulation calculating, need using specific format identifier, key
Word, geometric parameter are described to relations such as the locus of geometric model, size dimension, shape type, are thing to be calculated
Complete space geometry relation is set up in reason space, and ensures that each of physical space to be calculated point is had and by uniquely fixed
, there is not the spatial point not being defined or re-defining and exist in justice.
Certain limitation be there is also based on the Geometric Modeling system of DSMC it is impossible to accurately describe batten song
Face, such as ITER model intermediate plasma outer wall, the surface of stellarator device, joint of pipeline etc. is all typical batten
Curved surface.Although, had part Monte-Carlo code to achieve several where of the spline surface being directly based upon CAD bottom function library
Reason, such as MCBEND, McCARD, but all curved surfaces of its solid all employ the parametric equation of spline surface to describe, program
Computational efficiency very low it is impossible to meet design requirement.Therefore, in the core design and analysis of current fusion facility, remain
Spline surface is reduced to common analytic surface and carries out Monte Carlo PARTICLE TRANSPORT FROM it is difficult to realize high-precision Numerical-Mode
Intend.
In order to solve the problems, such as the geometric manipulations of arbitrary surface in reactor building and the analysis of fusion reactor nuclear mockup, this
The bright a kind of Monte Carlo geometric manipulations method disclosing coupling spline surface and analytic surface, to solid in CAD model
Curved surface carries out classification process, and analytic surface is described using algebraic equation, and spline surface uses parametric equation description it is achieved that covering special
The geometric manipulations to arbitrary surface for the Caro program, utilize the confined space bounding box of spline surface parametric equation, to containing simultaneously
The geometric manipulations of spline surface are accelerated.
Content of the invention
Present invention aim at providing the geometric manipulations method of arbitrary surface in the PARTICLE TRANSPORT FROM of Monte Carlo.To CAD model
The curved surface of middle solid carries out classification process, and analytic surface is described using algebraic equation, and spline surface is described using parametric equation,
Achieve the geometric manipulations to arbitrary surface for the Monte-Carlo code, utilize the confined space of spline surface parametric equation to surround simultaneously
Geometric manipulations containing spline surface are accelerated by box.The present invention parses bent compared to the Monte Carlo only using algebraic equation
Face geometric manipulations method, does not do any simplification it is ensured that the computational accuracy of model to original geometry model；Compared to only using parameter
The Monte Carlo spline surface geometric manipulations method of equation, improves the efficiency of calculating.
The technical solution adopted in the present invention is realized as follows：Coupling spline surface and analytic surface in a kind of nuclear mockup analysis
Monte Carlo geometric manipulations method, when carrying out reactor building or fusion reactor Monte Carlo PARTICLE TRANSPORT FROM and calculating, due to
There is the spline surface of complexity, traditional Monte-Carlo code cannot be processed, and needs model is simplified in geometric model, should
Method carries out classification process to the curved surface of solid in CAD model, and analytic surface is described using algebraic equation, and spline surface uses
Parametric equation description, it is achieved that the geometric manipulations to arbitrary surface for the Monte-Carlo code, utilizes spline surface parametric equation simultaneously
Confined space bounding box, the geometric manipulations containing spline surface are accelerated, specifically comprise the steps of：
Spline surface in step (1), identification CAD model：
All solids in traversal CAD model, for arbitrary solid, obtain according to its topological structure and form this geometry
All curved surfaces of body, then judge the type of each curved surface, if the type of curved surface is not belonging to analytic surface (plane, sphere, circle
Cylinder, taper seat, anchor ring, quadratic surface), then it is marked as spline surface and record.
Step (2), conversion CAD model generate Monte Carlo Calculation model：
All solids in CAD model are all described using the Boolean calculation between curved surface and curved surface, work as curved surface type
During for analytic surface, represented in the form of the equation of face, record the type of analytic surface and corresponding parameter, and work as curved surface class
When type is spline surface, record the corresponding all solids of this spline surface and in corresponding solid topological structure face list
In sequence number, and generate this spline surface corresponding bounding box information in computation model.
The Monte Carlo Calculation model geometric of step (3), coupling spline surface and analytic surface is processed：
When carrying out Monte Carlo PARTICLE TRANSPORT FROM, need calculate particle along directions of rays to each curved surface of solid away from
From thus obtaining particle along directions of rays to the beeline on solid border.All curved surfaces in traversal solid, if
Analytic surface, then directly carry out cap using ray and face equation, if spline surface, then according in step (2)
Sequence number finds position in corresponding solid topological structure face list for this spline surface, is then obtained using CAD bottom built-in function
Get this spline surface, and carry out solving particle trajectory and spline surface intersection point using Newton iteration method, solve particle accordingly
(along directions of rays) is to the distance of spline surface.Before solving the intersection point that ray is with spline surface, according to the sky of spline surface
Between bounding box, carry out the cap of ray and bounding box, if ray and bounding box do not have intersection point, do not need to be penetrated again
Line and the cap of spline surface.
Present invention advantage compared with prior art is：
(1) present invention parses surface geometry processing method compared to the Monte Carlo only using algebraic equation, not to original anti-
Answer heap Factory Building or the geometric model of fusion reactor to do any simplification it is ensured that the computational accuracy of model, also save simultaneously
The time of substantial amounts of model preprocessing.
(2) present invention compared to only use parametric equation Monte Carlo spline surface geometric manipulations method, in reactor factory
When the PARTICLE TRANSPORT FROM of room or fusion reactor calculates, improve the efficiency of complex model calculating.
Brief description
Fig. 1 is that coupling spline surface generates schematic diagram with the Monte Carlo Calculation model of analytic surface；
Fig. 2 is the Monte Carlo geometric manipulations schematic diagram of coupling spline surface and analytic surface；
Fig. 3 is the model schematic of calculated examples 1；
Fig. 4 is the model schematic of calculated examples 2.
Specific embodiment
Further illustrate the present invention with reference to the accompanying drawings and detailed description.
The Monte Carlo geometric manipulations method of coupling spline surface and analytic surface in a kind of analysis of nuclear mockup of the present invention,
When carrying out reactor building or the calculating of fusion reactor Monte Carlo PARTICLE TRANSPORT FROM, the batten due to there is complexity in geometric model is bent
Face, traditional Monte-Carlo code cannot be processed, and needs model is simplified, the song to solid in CAD model for the method
Face carries out classification process, and analytic surface is described using algebraic equation, and spline surface uses parametric equation description it is achieved that Meng Teka
The geometric manipulations to arbitrary surface for the Luo Chengxu, utilize the confined space bounding box of spline surface parametric equation, to containing sample simultaneously
The geometric manipulations of bar curved surface are accelerated, and comprise the following steps that：
1. import/create CAD geometric model
The CAD model comprising whole solids is imported in software interface, without ready-made CAD model, then leads to
Cross software interface and create the CAD model needed for calculating.After completing the importing/establishment of model, whole zoning is defined as R.As
Fruit be create CAD model in addition it is also necessary to be exported to the cad file (as SAT, STP etc.) of normal format, for coupling CAD with
The Monte Carlo Calculation model of CSG uses.
2. the spline surface in identification CAD model
All N number of solid in traversal CAD model, for arbitrary solid Solidi(Solidi∈ R, i=1, N), root
Obtain the M forming this solid according to its topological structureiIndividual face Facei,j(Facei,j∈Solidi, j=1, Mi), then travel through Fi,j
And judge the type in each face.If Solidi1Middle Fi1,j1Type be not belonging to analytic surface (FI2, j2∈ S), wherein S=is (flat
Face, sphere, the face of cylinder, taper seat, anchor ring, quadratic surface), then by Solidi1It is labeled as the solid containing spline surface,
Fi1,j1It is labeled as spline surface, record sequence number j1 in the face list of solid topological structure for this spline surface simultaneously；If
Solidi2Middle Fi2,j2Type broadly fall into analytic surface (FI2, j2∈ S), then do not process.Idiographic flow is as shown in Figure 1.
Repeat aforesaid operations, until having traveled through all solids and its curved surface in model, form following set,
Solid set containing spline surface：SolidN={ Solidt1}
Solid set containing only analytic surface：SolidA={ Solidt2}
Spline surface set：FaceN={ FaceI, j, (i=i1, f=f1)
Analytic surface set：FaceA={ FaceI, j, (i=i1 ＆ j ≠ j1) or (i=i2＆j=1, Mi)
3. conversion CAD model generates Monte Carlo Calculation model：
1) generate the expression formula of analytic surface.Traversal set FaceAIn all analytic surfaces, including the class of analytic surface
Type and necessary parameter value, also need to specify a unique character string (curved surface type+correspondence for each analytic surface simultaneously
Sequence number), for example,<Analytic_surface id=" 1 " type=" plane " para=" 1234 "/>
2) generate the expression formula of spline surface.Traversal set FaceNIn all spline surfaces, including corresponding solid
Sequence number, geometry dignity list in sequence number and this spline surface bounding box information, also need to as each batten simultaneously
Curved surface formulates a unique character string (curved surface type+corresponding sequence number), for example,
<Nurbs_surface id=" 2 " solidnum=" 2 " indexnum=" 3 " boundingbox="-10-10
-10 10 10 10"/>
3) generate the expression formula of solid.Boolean calculation between curved surface, is represented with specific character, and boolean hands over (empty
Lattice), boolean simultaneously (：), boolean subtracts (#).Travel through all solids, generated according to the Boolean relation between current solid curved surface several
The expression formula of what body.Meanwhile, each solid is also required to specify a unique sequence number (integer type), for example,
<Solid id=" 2 " value=" 1234 "/>
4. the Monte Carlo Calculation model geometric of coupling CAD and CSG is processed：
When carrying out Monte Carlo PARTICLE TRANSPORT FROM, need calculate particle (along directions of rays) arrive solid each curved surface away from
From thus obtaining the beeline that particle (along directions of rays) arrives solid border.All curved surfaces in traversal solid, if
It is analytic surface, then directly carry out cap using ray and face equation, if spline surface, then this is found according to sequence number
Position in corresponding solid topological structure face list for the spline surface, then gets this batten using CAD bottom built-in function
Curved surface, and carry out solving particle trajectory and spline surface intersection point using Newton iteration method, solve particle accordingly (along ray side
To) to spline surface distance.Before solving the intersection point that ray is with spline surface, according to the spatial surrounding box of spline surface,
Carry out the cap of ray and bounding box, if ray and bounding box do not have intersection point, do not need to carry out again ray and batten
The cap of curved surface.Idiographic flow is as shown in Figure 2.
5. application example, comprises herein below：
Application example 1：
It is the solid of a similar pipe joint as shown in Figure 3, this solid includes spline surface.Carrying out covering spy
It is assumed that a given spatial point (5.0,5.0,5.0) and directions of rays (0.707,0.707,0.0) during Caro PARTICLE TRANSPORT FROM,
Ask and Monte Carlo geometric manipulations are realized with analytic surface based on coupling spline surface.Mainly include the following steps that：
1) spline surface in identification CAD model.Due to this model only one of which solid Solid1, according to its topology knot
Structure obtains 3 face Face forming this solid1,1, Face1,2, Face1,3；Then judge the type in each face：Face1,1For solution
Analysis curved surface (plane), Face1,2For spline surface, Face1,1For analytic surface (plane).So, Face1,1And Face1,3Will be by
Add the set Face of analytic surfacex={ Face1,1, Face1,3, Face1,2The set Face of spline surface will be added intoN=
{Face1,2}.FaceAElement Face in set1,1, Face1,3The type " p " storing its corresponding analytic surface is needed (to represent
Plane) and parameter, FaceNElement Face in set1,2Store the sequence number 1 of corresponding solid, in geometry dignity list
Sequence number 2 and this spline surface bounding box information (X-direction 0～25.0；Y-direction -25.0～25.0；Z-direction-
4.000495～6.000495).Form solid Solid simultaneously1The collection of curved surface type be combined into SolidSurfaceType=A,
S, A }, and the collection of its corresponding curved surface sequence number is combined into SolidSurfaceIndex={ 1,1,2 }.
2) conversion CAD model generates Monte Carlo Calculation model：
A) generate the expression formula of analytic surface.Traversal set F in all analytic surfaces, including analytic surface type with
And necessary parameter value, also need to specify a unique character string (curved surface type+corresponding sequence for each analytic surface simultaneously
Number), as follows：
<Analytic_surface id=" A1 " type=" p " para=" 010 12 "/>
<Analytic_surface id=" A2 " type=" p " para=" 1000 "/>
B) generate the expression formula of spline surface.All spline surfaces in traversal set F, including the sequence of corresponding solid
Number, geometry dignity list in sequence number and this spline surface bounding box information, also need to as each spline surface simultaneously
Formulate a unique character string (curved surface type+corresponding sequence number), as follows：
<Nurbs_surface id=" S1 " solidnum=" 1 " indexnum=" 2 "
Boundingbox=" 0-25.0-4.000495 25.0 25.0 6.000495 "/>
C) generate the expression formula of solid.Boolean calculation between curved surface, is represented with specific character, and boolean hands over (empty
Lattice), boolean simultaneously (：), boolean subtracts (#).Travel through all solids, generated according to the Boolean relation between current solid curved surface several
The expression formula of what body is as follows：
<Solid id=" 1 " value=" A1 A2-S1 "/>
3) the Monte Carlo Calculation model geometric of coupling CAD and CSG is processed：All curved surfaces in traversal solid, for
Face1,1, Face1,3, directly calculate spatial point (5.0,5.0,5.0) and put down along directions of rays (0.707,0.707,0.0) to two
The distance in face；For Face1,2, first calculate spatial point (5.0,5.0,5.0) along directions of rays (0.707,0.707,0.0) with
Whether the bounding box of spline surface intersects, and recycles CAD bottom built-in function to calculate spatial point (5.0,5.0,5.0) edge and penetrate after intersecting
The distance of batten plane is arrived in line direction (0.707,0.707,0.0).
Application example 2：
It is the fusion reactor of a typical superconducting stellarator shape as shown in Figure 4, the external device (ED) of this fusion reactor
Formed by some regular solids or common analytic surface construction, and internal part is then mainly by spline surface splicing
Become.When carrying out Monte Carlo PARTICLE TRANSPORT FROM it is assumed that cylinder in the middle part of Fig. 4 model for the source particle, isotropic emission goes out
Come it is desirable to Monte Carlo geometric manipulations are realized based on the method for coupling spline surface and analytic surface.Mainly include the following steps that：
1) spline surface in identification CAD model.N number of solid in traversal CAD model, for arbitrary solid
Solidi, the M forming this solid is obtained according to its topological structureiIndividual face, then travels through Fi,jAnd judge the type in each face.As
Fruit Solidi1Middle Fi1,j1Type be not belonging to analytic surface, then by Solidi1It is labeled as the solid containing spline surface, Fi1,j1
It is labeled as spline surface, record sequence number j1 in the face list of solid topological structure for this spline surface simultaneously；If Solidi2
Middle Fi2,j2Type broadly fall into analytic surface, then do not process.
Repeat aforesaid operations, until having traveled through all solids and its curved surface in model, form following set,
Solid set containing spline surface：SolidN={ V5, V6, V7, V8, V9 }
Solid set containing only analytic surface：SolidA={ V1, V2, V3, V4, V10, V11, V12, V13 }
Spline surface set：FaceN={ F5,1... ..., F9,1}
Analytic surface set：FaceA={ F1,1, F1,2, F1,3... ..., F13,1, F13,2, F13,3, F5,2, F5,3... ... ...
2) conversion CAD model generates Monte Carlo Calculation model：
A) generate the expression formula of analytic surface.Traversal set FaceAIn all analytic surfaces, including the class of analytic surface
Type and necessary parameter value, also need to specify a unique character string (curved surface type+correspondence for each analytic surface simultaneously
Sequence number), as follows：
<Analytic_surface id=" A11 " type=" tz " para=" 0 0-200 1,400 1,000 1000 "/>
<Analytic_surface id=" A12 " type=" px " para=" 700.0 "/>
<Analytic_surface id=" A13 " type=" px " para=" 2000.0 "/>
……
<Analytic_surface id=" A72 " type=" p " para=" -0.31 0.95 00 "/>
<Analytic_surface id=" A73 " type=" p " para=" 0.30 0.95 00 "/>
……
B) generate the expression formula of spline surface.Traversal set FaceNIn all spline surfaces, including corresponding solid
Sequence number, geometry dignity list in sequence number and this spline surface bounding box information, also need to simultaneously
Formulate a unique character string (curved surface type+corresponding sequence number) for each spline surface, as follows：
……
<Nurbs_surface id=" S71 " solidnum=" 7 " indexnum=" 1 "
Boundingbox=" 1116.15-592.45-268.18 1651.49 592.45 268.18 "/>
……
C) generate the expression formula of solid.Travel through all solids, according to the Boolean relation between current solid curved surface
Raw
Become the expression formula of solid, as follows：
<Solid id=" 1 " value="-A11 A12-A13 "/>
……
<Solid id=" 7 " value="-A71 A72-A73 "/>
……
3) the Monte Carlo Calculation model geometric of coupling CAD and CSG is processed：Sample out behind the position of source particle and direction,
Carry out transporting calculating.When particle is in the solid without spline surface, row distance is entered using original method and calculates；Work as grain
When son is in the solid containing spline surface, whether intersect using particle ray and the bounding box of spline surface to screen effectively
Spline surface, and carry out cap using CAD bottom storehouse, finally calculate particle knife solid border the shortest effectively away from
From.
What the present invention did not elaborated partly belongs to techniques well known.
Although to the present invention, illustrative specific embodiment is described above, in order to the technology people of this technology neck
Member understands the present invention, it should be apparent that the invention is not restricted to the scope of specific embodiment, the ordinary skill to the art
For personnel, as long as various change is in the spirit and scope of the present invention of appended claim restriction and determination, these changes
Change is it will be apparent that all utilize the innovation and creation of present inventive concept all in the row of protection.
Claims (2)
1. couple the Monte Carlo geometric manipulations method of spline surface and analytic surface in a kind of nuclear mockup analysis, its feature exists
In：When carrying out reactor building or fusion reactor Monte Carlo PARTICLE TRANSPORT FROM calculates, due to there is complexity in geometric model
Spline surface, traditional Monte-Carlo code cannot be processed, and needs model is simplified, and the method is to geometry in CAD model
The curved surface of body carries out classification process, and analytic surface is described using algebraic equation, spline surface use parametric equation description it is achieved that
The geometric manipulations to arbitrary surface for the Monte-Carlo code, utilize the confined space bounding box of spline surface parametric equation simultaneously, right
Geometric manipulations containing spline surface are accelerated, and specifically include following steps：
Spline surface in step (1), identification CAD model：
All solids in CAD model in traversal reactor building or fusion reactor geometric model, for arbitrary solid, root
Obtain, according to its topological structure, all curved surfaces forming this solid, then judge the type of each curved surface, if the type of curved surface
It is not belonging to analytic surface, analytic surface is plane, sphere, the face of cylinder, taper seat, anchor ring or quadratic surface, then by its labelling
For spline surface and record；
Step (2), conversion CAD model generate Monte Carlo Calculation model：
Conversion CAD model in all solids, using composite entity representation (Construct Solid Geometry,
CSG) describing, that is, using the Boolean calculation between curved surface and curved surface, when curved surface type is for analytic surface, with the shape of face equation
Formula represents, records the type of analytic surface and corresponding parameter, and when curved surface type is for spline surface, records this sample
The corresponding all solids of bar curved surface and the sequence number in corresponding solid topological structure face list；
The Monte Carlo Calculation model geometric of step (3), coupling spline surface and analytic surface is processed：
When carrying out Monte Carlo PARTICLE TRANSPORT FROM, need to calculate particle along directions of rays to the distance of each curved surface of solid, from
And obtain particle along directions of rays to the beeline on solid border；
All curved surfaces in traversal solid, if analytic surface, then directly carry out cap using ray and face equation,
If spline surface, then this spline surface is found in corresponding solid topological structure face list according to the sequence number in step (2)
In position, then get this spline surface using CAD bottom built-in function, and using Newton iteration method carry out solve particle rail
Mark and the intersection point of spline surface, solve particle accordingly along directions of rays to the distance of spline surface.
2. in a kind of nuclear mockup analysis according to claim 1, couple the Monte Carlo geometry of spline surface and analytic surface
Processing method it is characterised in that：Described step (2), when generating Monte Carlo Calculation model, for spline surface, generates it right
The bounding box information answered；Described step (3) before solving the intersection point that ray is with spline surface, wrap by the space according to spline surface
Enclose box, carry out the cap of ray and bounding box, if ray and bounding box do not have intersection point, do not need to carry out again ray with
The cap of spline surface.
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| CN110580736A (en) * | 2018-06-07 | 2019-12-17 | 中国科学院深圳先进技术研究院 | ray tracing method and system for plate mode non-uniform rational spline surface |
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| CN111353990B (en) * | 2020-03-06 | 2023-03-28 | 深圳力合精密装备科技有限公司 | Method and device for acquiring circular groove theoretical value, computer equipment and storage medium |
| CN112131626A (en) * | 2020-09-16 | 2020-12-25 | 中国工程物理研究院计算机应用研究所 | CAD model geometric feature interaction method and system for non-regional Engine |
| CN115168926A (en) * | 2022-09-07 | 2022-10-11 | 上海优集工业软件有限公司 | Curved surface information description method and device and electronic equipment |
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