CN107798730A - A kind of structured grid boundary-layer automatic Mesh Generation Method - Google Patents
A kind of structured grid boundary-layer automatic Mesh Generation Method Download PDFInfo
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Abstract
The invention discloses a kind of structured grid boundary-layer automatic Mesh Generation Method, it is characterised in that comprises the following steps：Step 1 carries out the extraction of geometric properties to existing body surface grid；Step 2 constructs boundary-layer grid framework on the basis of the geometric properties extracted；Step 3 generates whole boundary-layer grid based on transfinite interpolation method on the basis of boundary-layer grid framework；The present invention be different from the boundary-layer mess generation of layer propulsion method from inside to outside, the technical characterstic of step by step advance, but use a kind of boundary-layer mess generation method based on geometric properties unitary construction, this method and the difference of traditional propulsion method be it is stronger to the boundary-layer whole synthesis adaptability of complex appearance, to grid local detail constraint loosened.
Description
Technical field
The present invention relates to the pre-treatment structured grid generation technique field of Fluid Mechanics Computation, a kind of structure is specifically related to
Grid boundary-layer automatic Mesh Generation Method.
Background technology
The mess generation that calculates of complex appearance VISCOUS FLOW is always one of bottleneck problem for hindering CFD engineer applieds, by
In Viscous Flow Calculation to wall grid orthogonality requirement various complicated geometric shapes that are higher, and being faced in engineer applied,
Often boundary-layer mess generation is proposed it is various mutually restrict, reconcile difficult constraints, cause mess generation excessively according to
Rely manual control, and it is time-consuming huge, turn into the technological difficulties of current complex appearance mess generation.And actual CFD engineer applieds
In, it is often desired to boundary-layer grid that is convenient, efficiently generating high quality, but at present can be automatic there has been no a kind of effective method
Ground generates the boundary-layer grid of high quality.
The content of the invention
The invention aims to overcome the drawbacks described above of prior art, it is proposed that a kind of structured grid boundary-layer grid
Automatic generation method, for boundary-layer grid that is convenient, efficiently generating high quality, solve various boundary-layer mess generations at present
The constraints of algorithm is very strong, it is impossible in mess generation field the problem of extensive use.
To achieve these goals, the present invention adopts the following technical scheme that：
A kind of structured grid boundary-layer automatic Mesh Generation Method, comprises the following steps：
Step 1：The extraction of geometric properties is carried out to existing body surface grid；
Step 2：Boundary-layer grid framework is constructed on the basis of the geometric properties extracted；
Step 3：Whole boundary-layer grid is generated on the basis of boundary-layer grid framework based on transfinite interpolation method.
In the above-mentioned technical solutions, the boundary-layer grid framework include four support lines, four support line one end by
Four contour lines connect and compose lubrication groove profile surface two-by-two, and the other end of four support lines is connected two-by-two by four outer contours；It is described
Lubrication groove profile surface is located at object plane.
In the above-mentioned technical solutions, the angle of four support lines and object plane is less than or equal to 90 °.
In the above-mentioned technical solutions, the construction of the support line needs the directional derivative and step-length of the strong point, the direction
Derivative calculates according to the discrete point coordinates of object plane grid.
In the above-mentioned technical solutions, the computational methods of the directional derivative are：
The directional derivative of support line is designated asIt is shared end points to support the one end of line on object plane, each shared end points
Four faces are designated as in the normal vector shared at end pointsAngle is designated as αi, for Arbitrary Digit i ∈ [0,1,2,3], according to angle
Weight coefficient beDirectional derivative
In the above-mentioned technical solutions, the support line of the boundary-layer grid framework promotes height to make any two block
Grid framework intersects.
In the above-mentioned technical solutions, the propulsion height of the support line is less than or equal to the propulsion height that user specifies.
In the above-mentioned technical solutions, the self-adaptive computing method for supporting the propulsion height of line is：
User, which specifies, promotes height to be designated as Δin, truncated error be designated as ε；The lower limit of propulsion height is set as Δlow, the upper limit be
Δup, currently propel height Δcur；
Step 1：Based on Δlow=0；Δup=Δin,Δcur=ΔupGrid block frame is constructed, if any two grid
Block is all non-intersect, completes and terminates to calculate；
Step 2：On the basis of step 1, if intersecting grid block, then it is Δ that change, which currentlys propel height,cur=
(Δlow+Δup)/2；
Step 3：It is based on currentlyying propel height Δ on the basis of step 2curGrid framework is constructed, if still had
Intersecting grid block, then it is to currently propel height Δ that modification, which promotes the upper limit of height,up=Δcur, return to step two continues executing with, directly
Promote height to complete to all disjoint support line of grid framework for calculating any two block in boundary-layer grid framework and tie
Beam calculates；
Step 4：Height Δ is currentlyyed propel on the basis of step 2curTwo interior grids are all non-intersect, but promote
The upper limit of height be more than currently propel height with truncated error and, Δup>Δcur+ ε, then modification promote height lower limit be
Δlow=(Δcur+Δup)/2, continue return to step two and perform, until calculating any two block in boundary-layer grid framework
The all disjoint support line of grid framework promotes height to complete and terminate to calculate.
In summary, by adopting the above-described technical solution, the beneficial effects of the invention are as follows：
The present invention be different from the boundary-layer mess generation of layer propulsion method from inside to outside, the technical characterstic of step by step advance, and
It is to use a kind of boundary-layer mess generation method based on geometric properties unitary construction, this method and the difference of traditional propulsion method
Part be it is stronger to the boundary-layer whole synthesis adaptability of complex appearance, to grid local detail constraint loosened.Side
Method considers the bulk property of boundary-layer grid first, is suitable for the boundary-layer net of specific profile by the geometrical property construction of profile
Case frame, avoid the optimal direction that propulsion method calculates layer by layer, the searching of each step meets to constrain and but overall complexity is adapted to
Property deficiency, the problem of robustness is relatively low.Due to being constructed based on framework, this method is more suitable for constructing polylith docking structure grid
Boundary-layer grid, the boundary-layer Auto--Generating Mesh of structured grid can faster, be universally realized, so as to realize in high quality
Complex appearance hybrid grid automatically generates, or structured grid Semi-Automatic Generation, reduces CFD engineer applieds " threshold ", further
Promote its extensive use.
Brief description of the drawings
Examples of the present invention will be described by way of reference to the accompanying drawings, wherein：
Fig. 1 is grid framework schematic diagram；
Fig. 2 is support line directional derivative schematic diagram.
Embodiment
All features disclosed in this specification, or disclosed all methods or during the step of, except mutually exclusive
Feature and/or step beyond, can combine in any way.
All features disclosed in this specification, or disclosed all methods or during the step of, except mutually exclusive
Feature and/or step beyond, can combine in any way.
The present invention first, is carried out Extraction of Geometrical Features to it, extracts object plane grid based on existing surface mesh
Geometric properties after, carry out object plane normal vector calculating, object plane normal vector calculation stress be processing include sharp salient angle (such as wing
Trailing edge etc.), concave domain (junction between such as part) various unconventional situations；Secondly, the geometry arrived by means of said extracted
Feature, construct boundary-layer grid framework；Finally, based on transfinite interpolation method, completed on the basis of boundary-layer grid framework
The internal point of grid surface and grid block generates, and finally obtains complete boundary-layer grid.
The inventive method specifically comprises the following steps：
Step 1: Extraction of Geometrical Features is carried out to existing surface mesh
The step predominantly generates boundary-layer grid framework and prepared.Figure below illustrates faceThe grid of corresponding block
Framework, it by four support lines (With) and eight contour lines
Form, wherein support line is substantially vertical with object plane.
Construction support line needs two key elements, the i.e. directional derivative and step-length of object plane at this point.Generally, step-length
It can be come out, therefore can be referred to as runtime parameter by user in configuration file according to the THICKNESS CALCULATION of given configuration boundary-layer
It is fixed；And directional derivative then needs just be calculated according to the discrete point coordinates of object plane grid.As shown in algorithm 1, obtain first
The normal vector of shared end points ep four faces at this pointAnd angle αi, then obtain directional derivative using weighted mean methodWherein ciFor the weight coefficient gone out according to angle calcu-lation, as shown in Figure 2.
Algorithm 1 supports line directional derivative computational methods：
Input：Line starting endpoint set is supported, is denoted as Eps；
Starting endpoint and the neighbouring relations in face, are denoted as RMap；
Output：Line directional derivative set is supported, is denoted as DVs；
a):To each end points ep in set Eps, shared end points ep face set DMs=[dm are obtained according to RMap0,
dm1,dm2,dm3]；
b):For any i ∈ [0,1,2,3], face dm is calculatediNormal vector at end points epCalculating face dmiIn end points
Angle α at epi；
c):For any i ∈ [0,1,2,3], weight coefficient is calculatedCalculated direction derivative
d):WillAdd set DVs.
Step 2: construction boundary-layer grid framework
As shown in Figure 1, structured surface grid framework must is fulfilled for following condition：1) directional derivative and its grid of line are supported
The point regularity of distribution；2) the mesh point regularity of distribution of contour line；3) it is rational to promote height.
For first condition, supporting the directional derivative of line can be calculated according to algorithm 1；And the mesh point regularity of distribution
The runtime parameter then typically specified by user determines, specifically includes head end distributed constant, tail end distributed constant and grid
Points, wherein head end (tail end) distributed constant refer to the normalized cumulant for starting (last) two mesh points on grid lines.Now,
All support lines required for grid framework can determine.
Contour line has two classes, the i.e. contour line (foreign steamer close to the contour line (being referred to as inner outline) of object plane and away from object plane
Profile).Obtained in view of inner outline can extract directly from object plane, thus its mesh point regularity of distribution be it is set, without
Specify in addition.For outer contour, its head and the tail end points is the afterbody end points of two support lines respectively, and its mesh point regularity of distribution
It is identical with corresponding inner outline.For example, outer contour in Fig. 1Head and the tail end points respectively be support lineWithTail
Portion's end points, its mesh point regularity of distribution and inner outlineIt is identical.
The propulsion height Δ specified based on userin, can ideally obtain effective structure boundary-layer grid framework.
However, work as ΔinWhen unreasonable (excessive), the grid block frame corresponding to two adjacent surfaces is very likely to intersect.Therefore, we
A kind of method that adaptive adjustment promotes height is proposed, as shown in algorithm 2.The algorithm is attached using iterative process adaptive generation
Surface layer grid framework, its end condition are：1. any two grid in framework can not intersect；2. height is promoted to refer to user
Fixed ΔinApproach as far as possible.
Algorithm 2 adaptively promotes the grid framework generation method of height
Input：The face set that discrete surface grid is included, is denoted as DMs；
The directional derivative set calculated by algorithm 1, is denoted as DVs；
The propulsion height and truncated error that user specifies, are denoted as ΔinAnd ε；
Output：Boundary-layer grid framework set, is denoted as MFrm；
a):Δlow=0；Δup=Δin,Δcur=Δup, based on propulsion height ΔupGrid framework MFrm is constructed, if
Any two grid block is not intended to hand in MFrm, then returning to MFrm；
b):Δcur=(Δlow+Δup)/2, based on propulsion height ΔcurConstruct grid framework MFrm；
c):If there are two intersecting framework mf in MFrmiAnd mfj, then return to step b) and continue executing with；
d):If MFrm does not deposit any intersecting block grid framework and Δup>Δcur+ ε, then, Δlow=(Δcur+
Δup)/2, return to step b) and continue executing with；
E) MFrm is returned.
Step 3: whole boundary-layer grid is generated based on TFI methods
The border of given closing three dimensions, transfinite interpolation (TFI) method can be by being calculated all internal points
Coordinate.
Its calculating process is as follows：
Assuming that physical space is defined on ξ ∈ [ξ1,ξ2], η ∈ [η1,η2], ζ ∈ [ζ1,ζ2], its boundary representation is
So TFI methods can be expressed as
Wherein, pk、qkAnd rkIt is boundary face k respectively in ξ, η, the normal derivative quantity on ζ directions；ak、bkAnd ckIt is border
Set-point on face；And φ, θ and ψ are the mixed functions on correspondence direction.
After grid framework constructs, in addition to the face on surface mesh, the other parts of framework are all grid lines, base
Some grid surfaces can be assembled in them.For example, in Fig. 1WithIt can assemble and appearWith this
Four line is border, defines two-dimensional closed region, and the in-house network lattice point in face can be generated using TFI methods.By that analogy, it is whole
Individual grid framework can assemble numerous grid surfaces.
After grid surface assembles, grid block can be assembled into by forming the grid surface of closing space, its in-house network lattice point
It can be filled by TFI methods.Such as the grid block in Fig. 1It is by face
Surrounded Deng six faces.When each face on object plane grid generates corresponding grid block, boundary-layer net
Lattice are just successfully generated.
Boundary-layer mess generation example based on surface mesh
In SPIDER softwares, by taking the example of F6 mark mould surface grids as an example, integration objective is known to surface mesh
In the case of, after setting relevant parameter, the boundary-layer grid that orthogonality is preferable, quality is higher is automatically generated in 10s, based on surface mesh
The boundary-layer grid orthogonality that lattice promote is good, and boundary-layer top surface guarantor's type rate is high.
It is can be seen that from above-mentioned generation example using the inventive method, following design object can be effectively realized：
The boundary-layer mess generation of various complex appearances can efficiently, be easily adapted to, and the boundary-layer grid generated is orthogonal
Property good, guarantor's type rate is high, the advantages that easily promoting.
The invention is not limited in foregoing embodiment.The present invention, which expands to, any in this manual to be disclosed
New feature or any new combination, and disclose any new method or process the step of or any new c combination.
Claims (8)
1. a kind of structured grid boundary-layer automatic Mesh Generation Method, it is characterised in that comprise the following steps：
Step 1：The extraction of geometric properties is carried out to existing body surface grid；
Step 2：Boundary-layer grid framework is constructed on the basis of the geometric properties extracted；
Step 3：Whole boundary-layer grid is generated on the basis of boundary-layer grid framework based on transfinite interpolation method.
2. a kind of structured grid boundary-layer automatic Mesh Generation Method according to claim 1, it is characterised in that described attached
Surface layer grid framework includes four support lines, and one end of four support lines connects and composes lubrication groove profile surface two-by-two by four contour lines,
The other end of four support lines is connected two-by-two by four outer contours；The lubrication groove profile surface is located at object plane.
3. a kind of structured grid boundary-layer automatic Mesh Generation Method according to claim 2, it is characterised in that described four
Bar supports the angle of line and object plane to be less than or equal to 90 °.
4. a kind of structured grid boundary-layer automatic Mesh Generation Method according to Claims 2 or 3, it is characterised in that described
The construction of support line needs the directional derivative and step-length of the strong point, and the directional derivative is according to the discrete point coordinates meter of object plane grid
Calculate.
A kind of 5. structured grid boundary-layer automatic Mesh Generation Method according to claim 4, it is characterised in that the side
It is to the computational methods of derivative：
The directional derivative of support line is designated asIt is shared end points to support the one end of line on object plane, and each shares four of end points
Face is designated as in the normal vector shared at end pointsAngle is designated as αi, for Arbitrary Digit i ∈ [0,1,2,3], according to the power of angle
Coefficient is againDirectional derivative
6. a kind of structured grid boundary-layer automatic Mesh Generation Method according to claim 2, it is characterised in that described attached
The support line of surface layer grid framework promotes height to intersect the grid framework of any two block.
A kind of 7. structured grid boundary-layer automatic Mesh Generation Method according to claim 6, it is characterised in that the branch
The propulsion height of support line is less than or equal to the propulsion height that user specifies.
A kind of 8. structured grid boundary-layer automatic Mesh Generation Method according to claim 7, it is characterised in that support line
The self-adaptive computing method of propulsion height be：
User, which specifies, promotes height to be designated as Δin, truncated error be designated as ε；The lower limit of propulsion height is set as Δlow, the upper limit be Δup,
Currently propel height Δcur；
Step 1：Based on Δlow=0；Δup=Δin,Δcur=ΔupGrid block frame is constructed, if any two grid block is all
It is non-intersect, complete and terminate to calculate；
Step 2：On the basis of step 1, if intersecting grid block, then it is Δ that change, which currentlys propel height,cur=(Δlow+
Δup)/2；
Step 3：It is based on currentlyying propel height Δ on the basis of step 2curGrid framework is constructed, if there are still intersecting
Grid block, then it is to currently propel height Δ that modification, which promotes the upper limit of height,up=Δcur, return to step two continues executing with, Zhi Daoji
The all disjoint support line of grid framework for calculating any two block in boundary-layer grid framework promotes height to complete and terminate to count
Calculate；
Step 4：Height Δ is currentlyyed propel on the basis of step 2curTwo interior grids are all non-intersect, but promote height
The upper limit be more than currently propel height with truncated error and, Δup>Δcur+ ε, then it is Δ that modification, which promotes the lower limit of height,low
=(Δcur+Δup)/2, continue return to step two and perform, the grid until calculating any two block in boundary-layer grid framework
The all disjoint support line of framework promotes height to complete and terminate to calculate.
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