CN107424210A - The processing method and processing device that mountain area mima type microrelief boundary profile smoothly transits - Google Patents
The processing method and processing device that mountain area mima type microrelief boundary profile smoothly transits Download PDFInfo
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Abstract
The invention provides the processing method and processing device that a kind of mountain area mima type microrelief boundary profile smoothly transits.Wherein, this method comprises the following steps：Selecting step, multiple points are chosen on the boundary profile of the pending mountain area mima type microrelief model built in advance；Difference step, single hop cubic spline interpolation is carried out respectively using the functional expression pre-established and to each point；Step is determined, determines the cubic spline difference result of each point along the boundary condition of bar difference three times according to the single hop of default each point.Method provided by the present invention is realized using cubic spline and pending mountain area mima type microrelief boundary profile is smoothly transitted, and then it ensure that in transient process as far as possible so that air-flow is smooth to flow through changeover portion, it largely reducing influence of the mutation to incoming, so as to more closing to reality situation, the precision of Simulation of Wind Field analysis result is improved.
Description
Technical field
The present invention relates to mountain area mima type microrelief wind field characteristic technical field, in particular to a kind of mountain area mima type microrelief border
The processing method and processing device of contour smoothing transition.
Background technology
When distinguished and admirable area with a varied topography through mountain region, hills etc., wind speed and wind profile in subaerial atmosphere
Significant changes can occur.According to the building and structures of flat ground Specification Design, such as transmission line of electricity, the near-earth in mountain region
It is easier to wreck in wind field.It is one of feasible way of clearly this potential risk by mima type microrelief flow field simulation, micro-ly
The modeling of shape earth's surface is to influence the key of Simulation of Wind Field analysis result.
Traditional earth's surface modeling uses arc section transition, and this processing method can guarantee that the profile with mima type microrelief on circular arc top
Line is concordant, but then without the characteristics of smoothly transitting, is grown suddenly equivalent on ground with ground intersection, arc section
The protuberance distortion face that one height increases rapidly, has obvious perturbation action to incoming, the model established in this case is simultaneously
Actual conditions can not be reflected, and then reduce the precision of Simulation of Wind Field analysis result.
The content of the invention
In consideration of it, the present invention proposes the processing method and processing device that a kind of mountain area mima type microrelief boundary profile smoothly transits, purport
Solving the problems, such as that current earth's surface modeling is low using Simulation of Wind Field analysis result precision caused by arc transition.
On one side, the present invention proposes the processing method that a kind of mountain area mima type microrelief boundary profile smoothly transits.This method
Comprise the following steps：Selecting step, multiple points are chosen on the boundary profile of the pending mountain area mima type microrelief model built in advance；
Difference step, single hop cubic spline interpolation is carried out respectively to each point using the functional expression pre-established；Step is determined, according to default
The single hop of each point the cubic spline difference result of each point is determined along the boundary condition of bar difference three times.
Further, in the processing method that above-mentioned mountain area mima type microrelief boundary profile smoothly transits, pending mountain area mima type microrelief
The structure of model comprises the following steps：Obtaining step, obtain the altitude data of pending mountain area mima type microrelief；Construction step, according to
Altitude data builds pending mountain area mima type microrelief model.
Further, in the processing method that above-mentioned mountain area mima type microrelief boundary profile smoothly transits, functional expression is f (xi)=
axi 3+bxi 2+cxi+d；In above formula, xiFor i-th point of abscissa variable on boundary profile, a, b, c and d are default system
Number.
Further, in the processing method that above-mentioned mountain area mima type microrelief boundary profile smoothly transits, boundary condition is f (xi)
|Xi=0=Zi, f (xi)|Xi=X=0, f ' (xi)|Xi=X=0；In above formula, ZiFor i-th point of height variable on boundary profile.
Further, in the processing method that above-mentioned mountain area mima type microrelief boundary profile smoothly transits, according to default each point
Single hop the cubic spline difference result of each point is determined along the boundary condition of bar difference three times, including：Establishment step,
Establish the equation group of boundary profile along the boundary condition of bar difference three times according to the single hop of functional expression and each point, equation group isIn above formula, xiFor i-th point of abscissa variable on boundary profile, a,
B, c and d is predetermined coefficient；ZiFor i-th point of height variable on boundary profile；Solution procedure, to solving equations, with
Determine the coefficient value of each point.
The present invention does not carry out list by the functional expression pre-established to each point on pending mountain area mima type microrelief boundary profile
Section cubic spline interpolation, and the boundary condition of the single hop cubic spline difference according to default each point, may finally be determined
The cubic spline difference result of each point, realizes and pending mountain area mima type microrelief boundary profile is smoothly transitted, and then ensure that
Cause air-flow is smooth to flow through changeover portion as far as possible in transient process, influence of the mutation to incoming is largely reducing, so as to more
Closing to reality situation, improve the precision of Simulation of Wind Field analysis result.
On the other hand, the invention also provides the processing unit that a kind of mountain area mima type microrelief boundary profile smoothly transits.The dress
Put including：Choose module, difference block and setting module.Wherein, module is chosen for micro- in the pending mountain area built in advance
Multiple points are chosen on the boundary profile of relief model；Difference block is used to carry out list respectively to each point using pre-establishing functional expression
Section cubic spline interpolation；Determining module is used to determine each point along the boundary condition of bar difference three times according to the single hop of default each point
Cubic spline difference result.
Further, in the processing unit that above-mentioned mountain area mima type microrelief boundary profile smoothly transits, choose in module, it is pending
The structure of mountain area mima type microrelief model includes：Acquisition module, for obtaining the altitude data of pending mountain area mima type microrelief；Build mould
Block, for building pending mountain area mima type microrelief model according to altitude data.
Further, in the processing unit that above-mentioned mountain area mima type microrelief boundary profile smoothly transits, in difference block, functional expression
For f (xi)=axi 3+bxi 2+cxi+d；In above formula, xiFor i-th point of abscissa variable on boundary profile, a, b, c and d are equal
For predetermined coefficient.
Further, in the processing unit that above-mentioned mountain area mima type microrelief boundary profile smoothly transits, boundary condition is f (xi)
|Xi=0=Zi, f (xi)|Xi=X=0, f ' (xi)|Xi=X=0；In above formula, ZiFor i-th point of height variable on boundary profile.
Further, in the processing unit that above-mentioned mountain area mima type microrelief boundary profile smoothly transits, determining module includes：Establish
Submodule, for establishing the equation group of boundary profile along the boundary condition of bar difference three times according to the single hop of functional expression and each point,
Equation group isIn above formula, xiFor i-th point of abscissa on boundary profile
Variable, a, b, c and d are predetermined coefficient；ZiFor i-th point of height variable on boundary profile；Solve submodule, for pair
Solving equations, to determine the coefficient value of each point.
The present invention does not carry out list by the functional expression pre-established to each point on pending mountain area mima type microrelief boundary profile
Section cubic spline interpolation, and the boundary condition of the single hop cubic spline difference according to default each point, may finally be determined
The cubic spline difference result of each point, realizes and pending mountain area mima type microrelief boundary profile is smoothly transitted, and then ensure that
Cause air-flow is smooth to flow through changeover portion as far as possible in transient process, influence of the mutation to incoming is largely reducing, so as to more
Closing to reality situation, improve the precision of Simulation of Wind Field analysis result.
Brief description of the drawings
By reading the detailed description of hereafter preferred embodiment, it is various other the advantages of and benefit it is common for this area
Technical staff will be clear understanding.Accompanying drawing is only used for showing the purpose of preferred embodiment, and is not considered as to the present invention
Limitation.And in whole accompanying drawing, identical part is denoted by the same reference numerals.In the accompanying drawings：
Fig. 1 is the flow chart for the processing method that mima type microrelief boundary profile in mountain area provided in an embodiment of the present invention smoothly transits；
It is pending in the processing method that Fig. 2 smoothly transits for mima type microrelief boundary profile in mountain area provided in an embodiment of the present invention
The model schematic in some longitude and latitude section of mountain area mima type microrelief；
It is pending in the processing method that Fig. 3 smoothly transits for mima type microrelief boundary profile in mountain area provided in an embodiment of the present invention
The result schematic diagram that the cubic spline in some longitude and latitude section on mountain area mima type microrelief border smoothly transits；
It is pending in the processing method that Fig. 4 smoothly transits for mima type microrelief boundary profile in mountain area provided in an embodiment of the present invention
The flow chart of the structure of mountain area mima type microrelief model；
Fig. 5 is in the processing method that mima type microrelief boundary profile in mountain area provided in an embodiment of the present invention smoothly transits, it is determined that step
Rapid flow chart；
Fig. 6 is the structural frames for the processing unit that mima type microrelief boundary profile in mountain area provided in an embodiment of the present invention smoothly transits
Figure；
It is pending in the processing unit that Fig. 7 smoothly transits for mima type microrelief boundary profile in mountain area provided in an embodiment of the present invention
The structured flowchart of the structure of mountain area mima type microrelief model；
Fig. 8 is in the processing unit that mima type microrelief boundary profile in mountain area provided in an embodiment of the present invention smoothly transits, and determines mould
The structured flowchart of block.
Embodiment
The exemplary embodiment of the disclosure is more fully described below with reference to accompanying drawings.Although the disclosure is shown in accompanying drawing
Exemplary embodiment, it being understood, however, that may be realized in various forms the disclosure without should be by embodiments set forth here
Limited.On the contrary, these embodiments are provided to facilitate a more thoroughly understanding of the present invention, and can be by the scope of the present disclosure
Completely it is communicated to those skilled in the art.It should be noted that in the case where not conflicting, embodiment in the present invention and
Feature in embodiment can be mutually combined.Describe the present invention in detail below with reference to the accompanying drawings and in conjunction with the embodiments.
Embodiment of the method：
Referring to Fig. 1, Fig. 1 is the flow for the processing method that the mountain area mima type microrelief boundary profile that the present embodiment provides smoothly transits
Figure.As illustrated, this method comprises the following steps：
Selecting step S110, multiple points are chosen on the boundary profile of the pending mountain area mima type microrelief model built in advance.
Specifically, multiple points, of point are chosen on the boundary profile of the pending mountain area mima type microrelief model built in advance
Number is relevant with precision, and precision if desired is higher, then needs the number of point chosen more.The pending mountain area built in advance
Mima type microrelief model can be the model of some longitude and latitude of pending mountain area mima type microrelief, specifically may refer to Fig. 2.
Difference step S120, single hop cubic spline interpolation is carried out respectively to each point using the functional expression pre-established.
Specifically, for the rugged elevation problem of pending mountain area mima type microrelief boundary contour, using pre-establishing
Cubic spline difference functions formula smoothly transitting for independent single hop cubic spline difference is carried out respectively to each point of selection.
Step S130 is determined, determines each point three times along the boundary condition of bar difference three times according to the single hop of default each point
Batten difference result.
Specifically, the knot of the cubic spline difference of each point is determined according to the functional expression and default boundary condition that pre-establish
Fruit, to carry out smooth transition to pending mountain area mima type microrelief boundary profile, for certain pending mountain area in longitude and latitude section micro-ly
The cubic spline on the shape border result that smoothly transits may refer to Fig. 3, the pending mountain area mima type microrelief border in other longitude and latitude sections
It can determine that step S140 method is smoothly transitted using selecting step S110-.
As can be seen that the present embodiment by the functional expression that pre-establishes to each on pending mountain area mima type microrelief boundary profile
Point not carry out single hop cubic spline interpolation, and according to default boundary condition, the cubic spline of each point may finally be determined
Difference result, realize and pending mountain area mima type microrelief boundary profile is smoothly transitted, and then ensure that in transient process to the greatest extent
It may cause air-flow is smooth to flow through changeover portion, largely reducing influence of the mutation to incoming, so that more closing to reality situation, is carried
The high precision of Simulation of Wind Field analysis result.
Referring to Fig. 4, in one embodiment of the invention, the structure of pending mountain area mima type microrelief model includes following step
Suddenly：
Obtaining step S410, obtain the altitude data of pending mountain area mima type microrelief.
Specifically, the altitude data of pending mountain area mima type microrelief can be come from satellite surveying and mapping data, height value of map etc.
Obtain, but in view of satellite surveying and mapping data the real space size of space it is smaller, therefore can be based on ASTER GDEM V2 come
To the altitude data of pending mountain area mima type microrelief.If the pending mountain area mima type microrelief model built in advance is some longitude and latitude
Model, then only obtain the altitude data of the longitude and latitude.
Construction step S420, pending mountain area mima type microrelief model is built according to altitude data.
Specifically, pending mountain area mima type microrelief model is built according to the altitude data of the pending mountain area mima type microrelief of acquisition.
It should be noted that the method for pending mountain area mima type microrelief model is built as originally according to the altitude data of pending mountain area mima type microrelief
Well known to the personnel of field, here is omitted.
As can be seen that according to the altitude data that obtains pending mountain area mima type microrelief to build pending mountain area micro- for the present embodiment
Shape model, the accuracy of structure model is ensure that, is based particularly on ASTER GDEM V2 to obtain pending mountain area mima type microrelief
Altitude data, it further ensure that the accuracy of structure model.
In above-described embodiment, in difference step S120, functional expression is f (xi)=axi 3+bxi 2+cxi+ d, wherein, xiFor side
I-th point of abscissa variable on boundary's profile, a, b, c and d are predetermined coefficient.xiInterval can be [0, X], xi
=0 represents the point on boundary contour, xi=X represents this on the ground border of wind-tunnel wall or numerical model.
In above-described embodiment, boundary condition is f (xi)|Xi=0=Zi, f (xi)|Xi=X=0, f ' (xi)|Xi=X=0, wherein, Zi
For i-th point of height variable on boundary profile.It is this because the derivative of mima type microrelief profile boundary position has uncertainty
Only consider the condition of continuity, i.e. f (xi)|Xi=0=Zi, and xI=0The first derivative values of point are taken as 0.
Referring to Fig. 5, in one embodiment of the invention, determine that step S140 may further include：
Establishment step S510, boundary profile is established along the boundary condition of bar difference according to the single hop of functional expression and each point three times
Equation group, equation group isIn above formula, xiFor on the boundary profile
The abscissa variable of i point, a, b, c and d are predetermined coefficient；ZiFor i-th point of height variable on the boundary profile.
Solution procedure S520, to solving equations, to determine the coefficient value of each point.
Specifically, to solving equations, then the coefficient value for obtaining each point is：It is micro- to obtain pending mountain area
The cubic spline difference result of each point on landform boundary profile.
As can be seen that the present embodiment by the functional expression and the single hop of each point that pre-establish three times along the perimeter strip of bar difference
Part establishes the equation group of boundary profile, and equation group is passed in and out and solved, and can obtain on pending mountain area mima type microrelief boundary profile
The cubic spline difference result of each point, and then realize and pending mountain area mima type microrelief boundary profile is smoothly transitted, algorithm is simple
Easy, computational efficiency is high.
To sum up, the present embodiment is other to each point on pending mountain area mima type microrelief boundary profile by the functional expression pre-established
Single hop cubic spline interpolation, and the boundary condition of the single hop cubic spline difference according to default each point are carried out, may finally
The cubic spline difference result of each point is determined, realizes and pending mountain area mima type microrelief boundary profile is smoothly transitted, and then
It ensure that in transient process as far as possible so that air-flow is smooth to flow through changeover portion, largely reducing influence of the mutation to incoming, from
And more closing to reality situation, improve the precision of Simulation of Wind Field analysis result.
Device embodiment：
Referring to Fig. 6, Fig. 6 is the structure for the processing unit that the mountain area mima type microrelief boundary profile that the present embodiment provides smoothly transits
Block diagram.As illustrated, the device includes：Choose module 100, difference block 200 and determining module 300.
Wherein, module 100 is chosen to be used to choose on the boundary profile of the pending mountain area mima type microrelief model built in advance
Multiple points.The functional expression that difference block 200 is used to pre-establish carries out single hop cubic spline interpolation respectively to each point.Determining module
The 300 cubic spline difference result for determining each point along the boundary condition of bar difference three times according to the single hop of default each point.
Wherein, the specific implementation process of the device will not be repeated here referring to the explanation in above method embodiment, the present embodiment.
As can be seen that the present embodiment by the functional expression that pre-establishes to each on pending mountain area mima type microrelief boundary profile
Point not carry out single hop cubic spline interpolation, and the boundary condition of the single hop cubic spline difference according to default each point, finally
The cubic spline difference result of each point can be determined, realizes and pending mountain area mima type microrelief boundary profile is smoothly transitted,
And then ensure that in transient process as far as possible so that air-flow is smooth to flow through changeover portion, it largely reducing shadow of the mutation to incoming
Ring, so as to more closing to reality situation, improve the precision of Simulation of Wind Field analysis result.
Referring to Fig. 7, in above-described embodiment, in shown selection module 100, the structure of pending mountain area mima type microrelief model can be with
Including：Acquisition module 110 and structure module 120.Wherein, acquisition module 110 is used for the elevation for obtaining pending mountain area mima type microrelief
Data.Module 120 is built to be used to build pending mountain area mima type microrelief model according to altitude data.Wherein, mould is obtained in the device
The specific implementation process of block 110 and structure module 120 is referring to the explanation in above method embodiment, and the present embodiment is herein not
Repeat again.
As can be seen that according to the altitude data that obtains pending mountain area mima type microrelief to build pending mountain area micro- for the present embodiment
Shape model, the accuracy of structure model is ensure that, is based particularly on ASTER GDEM V2 to obtain pending mountain area mima type microrelief
Altitude data, it further ensure that the accuracy of structure model.
In above-described embodiment, in difference block 200, functional expression is f (xi)=axi 3+bxi 2+cxi+ d, wherein, xiFor border
I-th point of abscissa variable on profile, a, b, c and d are predetermined coefficient.xiInterval can be taken as [0, X], xi
=0 means the point on boundary contour, xi=X means this on the ground border of wind-tunnel wall or numerical model
On.
In above-described embodiment, boundary condition is f (xi)|Xi=0=Zi, f (xi)|Xi=X=0, f ' (xi)|Xi=X=0, wherein, Zi
For i-th point of height variable on boundary profile.It is this because the derivative of mima type microrelief profile boundary position has uncertainty
Only consider the condition of continuity, i.e. f (xi)|Xi=0=Zi, and xI=0The first derivative values of point are taken as 0.
Referring to Fig. 8, Fig. 8 is the structured flowchart for the determining module 300 that the present embodiment provides.As illustrated, determining module 300 can
With including：Setting up submodule 310 and solution submodule 320.Wherein, setting up submodule 310 is used for the list according to functional expression and each point
Boundary conditions of the Duan Sanci along bar difference establishes the equation group of boundary profile, and equation group is
In above formula, xiFor i-th point of abscissa variable on the boundary profile, a, b, c and d are predetermined coefficient；ZiFor the side
I-th point of height variable on boundary's profile.Submodule 320 is solved to be used for solving equations.To determine the coefficient value of each point.
Wherein, in the device specific implementation process of determining module 300 referring to the explanation in above method embodiment, the present embodiment
It will not be repeated here.
As can be seen that the present embodiment by the functional expression and the single hop of each point that pre-establish three times along the perimeter strip of bar difference
Part establishes the equation group of boundary profile, and equation group is passed in and out and solved, and can obtain on pending mountain area mima type microrelief boundary profile
The cubic spline difference result of each point, and then realize and pending mountain area mima type microrelief boundary profile is smoothly transitted, algorithm is simple
Easy, computational efficiency is high.
To sum up, the present embodiment the present embodiment by the functional expression that pre-establishes on pending mountain area mima type microrelief boundary profile
Each point do not carry out single hop cubic spline interpolation, and the boundary condition of the single hop cubic spline difference according to default each point,
The cubic spline difference result of each point may finally be determined, realizes the smooth mistake to pending mountain area mima type microrelief boundary profile
Cross, and then ensure that in transient process as far as possible so that air-flow is smooth to flow through changeover portion, largely reducing mutation to incoming
Influence, so as to more closing to reality situation, improve the precision of Simulation of Wind Field analysis result.
It should be noted that processing method that the mountain area mima type microrelief boundary profile in the present invention smoothly transits and mountain area are micro-ly
The processing unit principle that shape boundary profile smoothly transits is similar, and related part can be with cross-referenced.
Obviously, those skilled in the art can carry out the essence of various changes and modification without departing from the present invention to the present invention
God and scope.So, if these modifications and variations of the present invention belong to the scope of the claims in the present invention and its equivalent technologies
Within, then the present invention is also intended to comprising including these changes and modification.
Claims (10)
1. the processing method that a kind of mountain area mima type microrelief boundary profile smoothly transits, it is characterised in that comprise the following steps：
Multiple points are chosen on the boundary profile of the pending mountain area mima type microrelief model built in advance；
Single hop cubic spline interpolation is carried out respectively to each point using the functional expression pre-established；
Determine the cubic spline difference of each point along the boundary condition of bar difference three times according to the single hop of default each point
As a result.
2. the processing method that mima type microrelief boundary profile in mountain area according to claim 1 smoothly transits, it is characterised in that described
The structure of pending mountain area mima type microrelief model comprises the following steps：
Obtain the altitude data of the pending mountain area mima type microrelief；
The pending mountain area mima type microrelief model is built according to the altitude data.
3. the processing method that mima type microrelief boundary profile in mountain area according to claim 1 smoothly transits, it is characterised in that
The functional expression is f (xi)=axi 3+bxi 2+cxi+d；
In above formula, xiFor i-th point of abscissa variable on the boundary profile, a, b, c and d are coefficient to be determined.
4. the processing method that mima type microrelief boundary profile in mountain area according to claim 3 smoothly transits, it is characterised in that
The boundary condition is f (xi)|Xi=0=Zi, f (xi)|Xi=X=0, f ' (xi)|Xi=X=0；
In above formula, ZiFor i-th point of height variable on the boundary profile.
5. the processing method that mima type microrelief boundary profile in mountain area according to claim 4 smoothly transits, it is characterised in that described
Determine the cubic spline difference result of each point along the boundary condition of bar difference three times according to the single hop of default each point,
Including：
Establish the side of the boundary profile along the boundary condition of bar difference three times according to the single hop of the functional expression and each point
Journey group, the equation group are
In above formula, xiFor i-th point of abscissa variable on the boundary profile, a, b, c and d are coefficient to be determined；Zi
For i-th point of height variable on the boundary profile；
To the solving equations, to determine the coefficient value of each point.
A kind of 6. processing unit that mountain area mima type microrelief boundary profile smoothly transits, it is characterised in that including：
Module is chosen, for choosing multiple points on the boundary profile of the pending mountain area mima type microrelief model built in advance；
Difference block, for carrying out single hop cubic spline interpolation respectively to each point using the functional expression pre-established；
Determining module, for determining each point along the boundary condition of bar difference three times according to the single hop of default each point
Cubic spline difference result.
7. the processing unit that mima type microrelief boundary profile in mountain area according to claim 6 smoothly transits, it is characterised in that enter one
Step includes：
Acquisition module, for before choosing multiple points on the boundary profile of the pending mountain area mima type microrelief model built in advance,
Obtain the altitude data of the pending mountain area mima type microrelief；
Module is built, for building the pending mountain area mima type microrelief model according to the altitude data.
8. the processing unit that mima type microrelief boundary profile in mountain area according to claim 6 smoothly transits, it is characterised in that described
Difference block is used to carry out single hop cubic spline interpolation respectively to each point using following functional expressions：
The functional expression is f (xi)=axi 3+bxi 2+cxi+d；
In above formula, xiFor i-th point of abscissa variable on the boundary profile, a, b, c and d are coefficient to be determined.
9. the processing unit that mima type microrelief boundary profile in mountain area according to claim 8 smoothly transits, it is characterised in that
The boundary condition is f (xi)|Xi=0=Zi, f (xi)|Xi=X=0, f ' (xi)|Xi=X=0；
In above formula, ZiFor i-th point of height variable on the boundary profile.
10. the processing unit that mima type microrelief boundary profile in mountain area according to claim 9 smoothly transits, it is characterised in that institute
Stating determining module includes：
Setting up submodule, for establishing institute along the boundary condition of bar difference three times according to the single hop of the functional expression and each point
The equation group of boundary profile is stated, the equation group is
In above formula, xiFor i-th point of abscissa variable on the boundary profile, a, b, c and d are coefficient to be determined；Zi
For i-th point of height variable on the boundary profile；
Submodule is solved, for the solving equations, to determine the coefficient value of each point.
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