CN114398726B - Method, equipment and medium for extracting flow field of cross section of inner runner based on auxiliary grid - Google Patents

Method, equipment and medium for extracting flow field of cross section of inner runner based on auxiliary grid Download PDF

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CN114398726B
CN114398726B CN202210275354.1A CN202210275354A CN114398726B CN 114398726 B CN114398726 B CN 114398726B CN 202210275354 A CN202210275354 A CN 202210275354A CN 114398726 B CN114398726 B CN 114398726B
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CN114398726A (en
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唐静
周乃春
吴晓军
周桂宇
陈江涛
李彬
张耀冰
龚小权
张建
李欢
崔鹏程
付云峰
刘刚
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Computational Aerodynamics Institute of China Aerodynamics Research and Development Center
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Abstract

The invention discloses an auxiliary grid-based method, equipment and a medium for extracting a flow field of an inner runner section, belonging to the field of computational fluid mechanics and comprising the following steps: s1, drawing an auxiliary grid on the designated section according to the geometric information of the inner runner; s2, establishing a mapping relation from the auxiliary grid vertex to the calculation grid unit; s3, interpolating the flow field of the computational grid peak to the auxiliary grid peak; and S4, outputting the flow field value on the cross section auxiliary grid. The invention directly defines the cross section of the inner runner through the auxiliary grid, and is suitable for the inner runner with any geometric shape. Meanwhile, the complex and time-consuming intersection solving and surface grid construction process of the traditional method is avoided, and the high-efficiency extraction of the flow field of any section of the inner flow channel is realized by adopting a local flow field interpolation method.

Description

Method, equipment and medium for extracting flow field of cross section of inner runner based on auxiliary grid
Technical Field
The invention relates to the field of computational fluid mechanics, in particular to an auxiliary grid-based method, equipment and medium for extracting a flow field of an inner runner section.
Background
The analysis of the flow field of the inner flow channel is an important content of the optimization design of the power system of the aircraft. To account for the effects of other components on the power system flow, computational fluid dynamics may be generally employed to develop a numerical simulation of the integrated flow of the internal and external flows. After the simulation is finished, the flow field on any section of the inner flow channel needs to be further extracted, the flow general parameters of the section are analyzed, and the performance of the air inlet system is evaluated. The currently widely adopted method is to define a cross section by an analytical method, then calculate the intersection surface of the cross section and a computational grid and construct a surface grid, and finally interpolate a flow field to the intersection surface. However, the irregular cross-sectional shape is difficult to define by the analytic method, and the calculation amount of the intersection plane calculation and surface grid construction process is large, so that a new efficient extraction method for the flow field of the inner flow channel with the arbitrary cross section needs to be found.
Disclosure of Invention
The invention aims to overcome the defects of the prior art, provides an auxiliary grid-based method, equipment and medium for extracting the flow field of the cross section of the inner runner for the analysis of the flow field of the inner runner, is suitable for the inner runner with any geometric shape, avoids the complex and time-consuming intersection solving and surface grid constructing process of the traditional method, and realizes the high-efficiency extraction of the flow field of the any cross section of the inner runner.
The purpose of the invention is realized by the following scheme:
an auxiliary grid-based method for extracting a flow field of a cross section of an inner runner comprises the following steps:
s1, drawing an auxiliary grid on the designated section according to the geometric information of the inner runner;
s2, establishing a mapping relation from the auxiliary grid vertex to the calculation grid unit;
s3, interpolating the flow field of the calculation grid vertex to the auxiliary grid vertex;
and S4, outputting the flow field value on the cross section auxiliary grid.
Further, in step S2, the method includes the sub-steps of:
traversing vertices of an auxiliary mesh
Figure 787914DEST_PATH_IMAGE001
Finding the grid cell containing the vertex in the computational grid
Figure 111580DEST_PATH_IMAGE002
Establishing a mapping relationship from the auxiliary mesh vertices to the computational mesh cellsM：
Figure 422475DEST_PATH_IMAGE003
(1)
WhereinNIs the total number of auxiliary mesh vertices.
Further, in step S2, the ray method is used to determine the positional relationship between the vertices of the auxiliary grid and the grid cells.
Further, in step S3, the method includes the sub-steps of:
traversal mappingMMiddle element
Figure 739056DEST_PATH_IMAGE004
Auxiliary mesh vertices
Figure 84587DEST_PATH_IMAGE005
Value of upper flow field
Figure 641470DEST_PATH_IMAGE006
By forming cells of a grid
Figure 315028DEST_PATH_IMAGE002
All mesh vertices of
Figure 310666DEST_PATH_IMAGE007
And (3) interpolation calculation:
Figure 635337DEST_PATH_IMAGE008
(2)
wherein
Figure 363121DEST_PATH_IMAGE009
Is formed into grid cells
Figure 648609DEST_PATH_IMAGE002
The number of all the grid vertices of (c),
Figure 792145DEST_PATH_IMAGE010
is a unit
Figure 112268DEST_PATH_IMAGE002
To (1)jThe weight of each grid vertex is calculated by:
Figure 932326DEST_PATH_IMAGE011
(3)
wherein
Figure 970689DEST_PATH_IMAGE012
Is the auxiliary mesh vertex
Figure 196877DEST_PATH_IMAGE005
To grid cell
Figure 637086DEST_PATH_IMAGE002
To (1) ajDistance of each mesh vertex.
Further, in step S4, the flow field value is outputted for the flow field display of the designated section.
Further, in step S4, the flow field values are output and used to calculate the overall parameters of the cross section.
Further, in the sub-step of step S3, the mapping is traversedMAnd (4) completing the calculation of flow field values at all vertexes on the auxiliary grid by all elements in the flow field extraction model, and realizing the flow field extraction from the calculation grid to the auxiliary grid.
Further, the overall parameters include flow rate and total pressure recovery coefficient.
A computer device comprising a processor and a memory, the memory having stored therein a computer program which, when loaded by the processor, carries out the method of any preceding claim.
A computer-readable storage medium, in which a computer program is stored which is loaded by a processor and which performs the method as defined in any one of the above.
The beneficial effects of the invention are:
the invention directly defines the cross section of the inner runner through the auxiliary grid, and is suitable for the inner runner with any geometric shape. Meanwhile, the complex and time-consuming intersection solving and surface grid construction process of the traditional method is avoided, and the high-efficiency extraction of the flow field of any section of the inner flow channel is realized by adopting a local flow field interpolation method.
The method provided by the invention is used for interpolating the flow field obtained by numerical simulation to the auxiliary grid by providing a set of auxiliary grids at any section and adopting a contribution unit local interpolation method, so as to realize extraction of the flow field of any section. The method has the advantages that the problem that the traditional method is difficult to analyze and define irregular sections is solved, complex and time-consuming geometric intersection operation and surface grid construction processes are omitted, any section is defined directly through the auxiliary grid, a calculation grid flow field is quickly interpolated to the auxiliary grid through a local interpolation method, and efficient extraction of the flow field of any section of the inner flow channel is achieved.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to these drawings without creative efforts.
FIG. 1 is a schematic diagram of an inner and outer flow calculation model and a designated cross-sectional location;
FIG. 2 specifies a cross-sectional location auxiliary grid;
FIG. 3 is a diagram of the relative positions of the computational mesh cells and the auxiliary mesh vertices near a given cross-section;
FIG. 4 is a density flow field extracted on a given cross-section auxiliary grid;
FIG. 5 is an intersection of a given cross-section and a computational grid according to a conventional method;
FIG. 6 is a flow chart of the method steps of the present invention.
Detailed Description
All features disclosed in all embodiments of the present specification, or all methods or process steps implicitly disclosed, may be combined and/or expanded, or substituted, in any way, except for mutually exclusive features and/or steps.
In one embodiment, an auxiliary grid-based method for extracting a flow field with an arbitrary cross section of an internal flow channel comprises the following steps:
the method comprises the following steps: and drawing the auxiliary grids on the designated section according to the geometric information of the inner runner.
Step two: traversing vertices of an auxiliary mesh
Figure 378777DEST_PATH_IMAGE001
Finding the grid cell containing the vertex in the computational grid
Figure 638857DEST_PATH_IMAGE002
Establishing a mapping relationship from the auxiliary mesh vertices to the computational mesh cellsM：
Figure 373464DEST_PATH_IMAGE003
(1)
WhereinNIs the total number of auxiliary mesh vertices.
The grid cells of the computational grid are polyhedrons formed by triangles or quadrilaterals, and the position relation between the vertexes and the grid cells can be judged by adopting a ray method.
Step three: and interpolating the flow field of the vertex of the computational mesh to the vertex of the auxiliary mesh.
Traversal mappingMMiddle element
Figure 605862DEST_PATH_IMAGE004
Auxiliary mesh vertices
Figure 908667DEST_PATH_IMAGE005
Value of upper flow field
Figure 531410DEST_PATH_IMAGE006
Composed of constituent units
Figure 945074DEST_PATH_IMAGE002
All mesh vertices of
Figure 31978DEST_PATH_IMAGE007
Interpolation calculation
Figure 630319DEST_PATH_IMAGE008
(2)
Wherein
Figure 864991DEST_PATH_IMAGE009
Is to form a computational grid cell
Figure 692133DEST_PATH_IMAGE002
The number of vertices of all the grids of (c),
Figure 899123DEST_PATH_IMAGE010
is a unit
Figure 543731DEST_PATH_IMAGE002
To (1) ajThe weight of each grid vertex is calculated by the following formula
Figure 390333DEST_PATH_IMAGE011
(3)
Wherein
Figure 145800DEST_PATH_IMAGE012
Is the auxiliary mesh vertex
Figure 613821DEST_PATH_IMAGE005
To the unit
Figure 632593DEST_PATH_IMAGE002
To (1)jDistance of each mesh vertex.
As can be seen from equations (1) - (3), the auxiliary mesh vertices
Figure 576278DEST_PATH_IMAGE005
Only with computational grid cells
Figure 525648DEST_PATH_IMAGE002
Therefore, the interpolation method belongs to a local interpolation method and has the advantage of small calculation amount.
Traversal mappingMAfter all elements are processed, the calculation of the flow field values at all vertexes of the auxiliary grid can be completed, and the flow field extraction from the calculation grid to the auxiliary grid is realized.
Step four: and outputting the flow field value on the cross section auxiliary grid. The output flow field value can be used for flow field display of a designated section, and can also be used for calculating overall parameters of the section, such as flow rate, total pressure recovery coefficient and the like.
In one embodiment, a model of integrated flow simulation of inside and outside flow of a sigmoid port is selected, as shown in FIG. 1. The state of the incoming flow is calculated to be static pressure 22.7KPa, static temperature 216K, Mach number 1.5 and attack angle 0 degrees. The flow field was calculated using NNW-FlowStar software.
According to the first step, GridStar grid generation software is adopted to draw an auxiliary grid at the cross section position of the internal flow passage shown in fig. 1, and the auxiliary grid is shown in fig. 2. The auxiliary grid is a plane structure grid, and the number of grid vertexes is 21 multiplied by 21.
Traversing the auxiliary grid vertex according to the second step, and establishing mapping according to the position relation of the auxiliary grid vertex and the calculation grid unitM. The relative positions of the vertices of the auxiliary mesh and the computational mesh cells near the designated cross-section are shown in FIG. 3, in which the spherical vertices are the vertices of the auxiliary mesh and the vertices of the auxiliary mesh are determined by ray method
Figure 238389DEST_PATH_IMAGE005
Numbering located in computational grid cells
Figure 162483DEST_PATH_IMAGE002
。
According to step three, for the mappingMMiddle element (II)
Figure 468831DEST_PATH_IMAGE004
By forming cells of a grid
Figure 566100DEST_PATH_IMAGE002
The interpolation weight of each vertex is calculated by the grid vertex through the formula (3), and then the auxiliary grid vertex is calculated by the formula (2)
Figure 523560DEST_PATH_IMAGE005
The flow field value of (c). When traversing the mappingMAfter all the elements are processed, the flow field interpolation from the calculation grid point to the auxiliary grid point can be realized, and the flow field extraction on the designated section is completed.
According to the fourth step, the flow field value on the auxiliary grid is output for displaying the flow field of the cross section, and the density flow field value on the cross section is shown in fig. 4.
Because the air inlet model is S-shaped and the cross section is approximately elliptical, the accurate analysis definition expression by adopting the traditional method is more complex. In addition, the intersecting surface grid cell topology is cluttered and the number of grid points is large, as shown in fig. 5, the difficulty and the calculation time of the overall parameter calculation of the section are increased. The method accurately defines the designated section through the auxiliary mesh, has simple mesh topological relation, and can realize the rapid calculation of the flow general parameters of the section as shown in figure 4.
Example 1: as shown in fig. 6, a method for extracting an internal flow channel cross-section flow field based on an auxiliary grid is characterized by comprising the following steps:
s1, drawing an auxiliary grid on the designated section according to the geometric information of the inner runner;
s2, establishing a mapping relation from the auxiliary grid vertex to the calculation grid unit;
s3, interpolating the flow field of the calculation grid vertex to the auxiliary grid vertex;
and S4, outputting the flow field value on the cross section auxiliary grid.
Example 2: based on embodiment 1, in step S2, the method includes the sub-steps of:
traversing vertices of an auxiliary mesh
Figure 680872DEST_PATH_IMAGE005
Finding the grid cell containing the vertex in the computational grid
Figure 474516DEST_PATH_IMAGE002
Establishing a mapping relationship from the auxiliary mesh vertices to the computational mesh cellsM：
Figure 578738DEST_PATH_IMAGE003
(1)
WhereinNIs the total number of auxiliary mesh vertices.
Example 3: in step S2, the ray method is used to determine the positional relationship between the vertices of the auxiliary grid and the grid cells of the calculation grid, according to embodiment 1.
Example 4: in step S3, the method according to embodiment 2 includes the following sub-steps:
traversal mappingMMiddle element
Figure 492DEST_PATH_IMAGE004
Auxiliary mesh vertices
Figure 718918DEST_PATH_IMAGE005
Value of upper flow field
Figure 858913DEST_PATH_IMAGE006
By forming cells of a grid
Figure 438930DEST_PATH_IMAGE002
All mesh vertices of
Figure 184032DEST_PATH_IMAGE007
And (3) interpolation calculation:
Figure 683146DEST_PATH_IMAGE008
(2)
wherein
Figure 700650DEST_PATH_IMAGE009
Is to form grid cells
Figure 943412DEST_PATH_IMAGE002
The number of all the grid vertices of (c),
Figure 543021DEST_PATH_IMAGE010
is a unit
Figure 88403DEST_PATH_IMAGE002
To (1) ajThe weight of each grid vertex is calculated by:
Figure 468568DEST_PATH_IMAGE011
(3)
wherein
Figure 374076DEST_PATH_IMAGE012
Is the auxiliary mesh vertex
Figure 93771DEST_PATH_IMAGE005
To grid cell
Figure 934688DEST_PATH_IMAGE002
To (1) ajDistance of each mesh vertex.
Example 5: based on embodiment 1, in step S4, the flow field value is output for the flow field display of the designated cross section.
Example 6: based on embodiment 1, in step S4, the flow field values are output and used to calculate the overall parameters of the cross section.
Example 7: based on embodiment 4, in the sub-step of step S3, the mapping is traversedMAll elements in the auxiliary grid, and the flow field values at all vertexes of the auxiliary grid are calculated, so that the secondary grid is calculatedFlow field extraction to the auxiliary grid.
Example 8: based on example 6, the overall parameters include flow rate and total pressure recovery coefficient.
Example 9: a computer device comprising a processor and a memory, the memory having stored therein a computer program which, when loaded by the processor, carries out the method of any of embodiments 1 to 8.
Example 10: a computer-readable storage medium, in which a computer program is stored which is loaded by a processor and which performs the method according to any of embodiments 1-8.
The functionality of the present invention, if implemented in the form of software functional units and sold or used as a stand-alone product, may be stored in a computer readable storage medium. Based on such understanding, the technical solution of the present invention may be embodied in the form of a software product, which is stored in a storage medium, and all or part of the steps of the method according to the embodiments of the present invention are executed in a computer device (which may be a personal computer, a server, or a network device) and corresponding software. And the aforementioned storage medium includes: various media capable of storing program codes, such as a usb disk, a removable hard disk, or an optical disk, exist in a read-only Memory (RAM), a Random Access Memory (RAM), and the like, in the implementation of the program.

Claims (8)

1. An auxiliary grid-based method for extracting a flow field of a cross section of an inner runner is characterized by comprising the following steps:
s1, drawing an auxiliary grid on the designated section according to the geometric information of the inner runner;
s2, establishing a mapping relation from the auxiliary grid vertex to the calculation grid unit; in step S2, the method includes the sub-steps of:
traversing vertices of an auxiliary mesh
Figure 174536DEST_PATH_IMAGE001
Finding the grid cell containing the vertex in the computational grid
Figure 35044DEST_PATH_IMAGE002
Establishing a mapping relationship from the auxiliary mesh vertices to the computational mesh cellsM：
Figure 437207DEST_PATH_IMAGE003
(1)
WhereinNIs the total number of vertices of the auxiliary mesh;
s3, interpolating the flow field of the calculation grid vertex to the auxiliary grid vertex;
in step S3, the method includes the sub-steps of:
traversal mappingMMiddle element
Figure 699561DEST_PATH_IMAGE004
Auxiliary mesh vertices
Figure 161766DEST_PATH_IMAGE005
Value of upper flow field
Figure 509571DEST_PATH_IMAGE006
By forming cells of a grid
Figure 308900DEST_PATH_IMAGE002
All mesh vertices of
Figure 160181DEST_PATH_IMAGE007
And (3) interpolation calculation:
Figure 58867DEST_PATH_IMAGE008
(2)
wherein
Figure 893968DEST_PATH_IMAGE009
Is formed into grid cells
Figure 637933DEST_PATH_IMAGE002
The number of vertices of all the grids of (c),
Figure 874879DEST_PATH_IMAGE010
is a unit
Figure 413308DEST_PATH_IMAGE002
To (1) ajThe weight of each grid vertex is calculated by:
Figure 1284DEST_PATH_IMAGE011
(3)
wherein
Figure 548940DEST_PATH_IMAGE012
Is the auxiliary mesh vertex
Figure 640393DEST_PATH_IMAGE005
To grid cell
Figure 880881DEST_PATH_IMAGE002
To (1) ajDistance of individual mesh vertices;
and S4, outputting the flow field value on the cross section auxiliary grid.
2. The auxiliary grid-based inner flow channel cross-section flow field extraction method according to claim 1, characterized in that in step S2, a ray method is adopted to determine a position relationship between the vertex of the auxiliary grid and the grid cell.
3. The method for extracting an internal flow channel cross-section flow field based on an auxiliary grid as claimed in claim 1, wherein in step S4, the flow field value is outputted for displaying the flow field with a specific cross-section.
4. The method as claimed in claim 1, wherein in step S4, the output flow field values are used to calculate the overall parameters of the cross-section.
5. The method of claim 1, wherein in the sub-step of step S3, the map is traversedMAnd (4) completing the calculation of flow field values at all vertexes on the auxiliary grid by all elements in the flow field extraction model, and realizing the flow field extraction from the calculation grid to the auxiliary grid.
6. The method of claim 4, wherein the population parameters comprise flow rate and total pressure recovery coefficients.
7. A computer arrangement comprising a processor and a memory, in which a computer program is stored which, when loaded by the processor, performs the method of any one of claims 1 to 6.
8. A computer-readable storage medium, in which a computer program is stored which, when being loaded by a processor, is adapted to carry out the method according to any one of claims 1 to 6.
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Inventor after: Li Bin

Inventor after: Zhang Yaobing

Inventor after: Gong Xiaoquan

Inventor after: Zhang Jian

Inventor before: Tang Jing

Inventor before: Li Huan

Inventor before: Cui Pengcheng

Inventor before: Fu Yunfeng

Inventor before: Liu Gang

Inventor before: Zhou Naichun

Inventor before: Wu Xiaojun

Inventor before: Zhou Guiyu

Inventor before: Chen Jiangtao

Inventor before: Li Bin

Inventor before: Zhang Yaobing

Inventor before: Gong Xiaoquan

Inventor before: Zhang Jian