CN104847414B - Structured dynamic mesh modeling method for vortex type fluid machine - Google Patents
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Abstract
The invention discloses a structured dynamic mesh modeling method for a vortex type fluid machine. The structured dynamic mesh modeling method comprises the following steps: establishing an initial structured mesh model of the vortex type fluid machine; performing translational motion of mesh nodes on all mesh nodes in the initial structured mesh model of the vortex type fluid machine; on the basis of the translational motion, performing revolution translational motion on all the mesh nodes in the initial structured mesh model of the vortex type fluid machine to finally obtain the structured mesh model of the vortex type fluid machine. Through the application of the structured dynamic mesh modeling method disclosed by the invention, the distribution rule of an inner flow field in the vortex type fluid machine is obtained, the inner flow field can be indicated more accurately, and the method has an important theoretical significance for the research on the internal flow characteristics of the vortex type fluid machine.
Description
Technical field
The present invention relates to convolute-hydrodynamic mechanics field, more particularly, to a kind of convolute-hydrodynamic mechanics structuring dynamic mesh is built
Mould method.
Background technology
Convolute-hydrodynamic mechanics belong to a kind of volume fluid machine, and compression member is mainly by orbiter and fixed scroll
Composition.The main operation part of convolute-hydrodynamic mechanics is the orbiting and fixed scroll, thus the life-span longer compression being described as freedom from repairs
Machine.The unique design of convolute-hydrodynamic mechanics makes it have and operates steadily, vibrates little, lightweight, life-span length advantage.
Convolute-hydrodynamic mechanics are the revolution translations relying between sound scroll wrap, form multiple volumes periodically variable
Working chamber, realizes its work process；It is characterized in：1. carry moving boundary；2. comprise the periodically variable work of multiple volumes
Chamber and working chamber position transient change；3. rely on back lash to separate working chamber, have between two borders of composition back lash
Mutual shear motion；4. between sound scroll wrap, relative motion is revolution translation.Therefore for the intracavity that works in its work process
The research of Thermodynamic Processes of Gases is difficult to experimentally carry out direct measurement, and can intuitively be represented using method for numerical simulation
The flow field of gas flowing, service behaviour prediction and design for convolute-hydrodynamic mechanics have important effect, mesh modeling
It is the key technology of numerical simulation.
Inventor, during realizing the present invention, finds at least to suffer from the drawback that in prior art and not enough：
The existing model being applied to convolute-hydrodynamic mechanics method for numerical simulation has unstructured grid model, generally makes
For unstructured grid model, this grid model, during using, is being nibbled because the reconstruct regeneration of grid can cause
Close gap location only single layer mesh and make the very few needs that can not meet accurate calculating of lattice number, be also easy to produce negative volume etc. simultaneously
Problem；For structured grid model, at present only for the structured grid model of single working chamber, and solution is not had to nibble
Close the grid problem of gap location it is impossible to simulate actual operating condition [1].
[1]OoiK T,Zhu J.Convective heat transfer in a scroll compressor
chamber:a 2-D simulation[J].International Journal of Thermal Sciences,2004,43
(7):677-688.
Content of the invention
The invention provides a kind of convolute-hydrodynamic mechanics structuring dynamic mesh modeling method, it is dynamic that the present invention passes through structuring
Mesh modeling improves the accuracy of convolute-hydrodynamic mechanics analog result, meets the needs in practical application, as detailed below
Description：
A kind of convolute-hydrodynamic mechanics structuring dynamic mesh modeling method, described structuring dynamic mesh modeling method include with
Lower step：
Set up convolute-hydrodynamic mechanics initiating structure grid model；
In described convolute-hydrodynamic mechanics initiating structure grid model, all grid nodes carry out the translation of grid node
Motion, specifically includes：
The identification of grid node, the determination of grid node translational displacement, specify grid node point-to-point speed, complete engage
And reach the time that back lash is terminated；
On the basis of translational motion, all grid nodes in described convolute-hydrodynamic mechanics initiating structure grid model
Circumference along different radii value carries out translation of revolving round the sun, and specifically includes：
The again identifying that of grid node, the determination of the grid node characteristics of motion, grid node revolve round the sun translation radius determination,
Determine the angle of revolution translational motion.
Finally give convolute-hydrodynamic mechanics structuring dynamic mesh model.
The described step setting up convolute-hydrodynamic mechanics initiating structure grid model is specially：
Convolute-hydrodynamic mechanics working region is divided into the circle involute region being surrounded by circle involute and tooth head
The circular arc sector that place is surrounded by circular arc；
Obtain the basic parameter of scroll molded line；
Described circle involute region is carried out meeting the first pre-conditioned modeling and stress and strain model；
Circular arc sector is carried out meet the second pre-conditioned modeling and stress and strain model；
Two parts grid model is obtained convolute-hydrodynamic mechanics initiating structure grid model by splicing.
The basic parameter of described scroll molded line includes：The generation angle of circle involute, the angle of spread, base radius and circular arc correction
Correction exhibition angle.
Wherein, described first pre-conditioned be specially：
The generation angular difference value that grid layer line after division is satisfied by between circle involute equation, and adjacent grid layer line is
Fixed value.
Wherein, described second pre-conditioned be specially：
Each layer of grid layer line after division is one section of circular arc, and adjacent grid layer line is isocentric circular arc, and half
Footpath difference is fixed value.
Each layer of grid layer line for circle involute region same circle involute, circular arc sector same layer grid
Grid node on the circle of same radius；
Grid node common normal on the Mesh Normals direction perpendicular with grid layer line, the orbiting and fixed scroll is in the mistake of engagement
At back lash in journey, grid layer line is vertical with Mesh Normals；
The quantity of the grid node that convolute-hydrodynamic mechanics initiating structure grid model has be equal to reticulate layer with
The product of each layer of grid node；
Grid ensure that in engagement process grid layer line and Mesh Normals are mutually perpendicular to.
The beneficial effect of technical scheme that the present invention provides is：Present invention achieves convolute-hydrodynamic mechanics are based on structuring
The Working Process of dynamic mesh, solves existing destructuring dynamic mesh and is applied to convolute-hydrodynamic mechanics Numerical-Mode
The problems of intend, for example：At back lash, lattice number is very few, be also easy to produce negative capacity issue.Application is the present invention can obtain
To the regularity of distribution of convolute-hydrodynamic mechanics interior flow field, can more precisely disclose its interior flow field, for vortex stream
The research of body machine internal flow behavior has important theory significance.
Brief description
Fig. 1 divides schematic diagram for net region；
Fig. 1 a) it is circle involute area schematic；Fig. 1 b) it is circular arc sector schematic diagram；
Fig. 2 is circle involute area schematic；
Fig. 2 a) it is circle involute area grid layer line schematic diagram；Fig. 2 b) illustrate for the definition of circle involute area grid layer line
Figure；
Fig. 3 is circular arc sector schematic diagram；
Fig. 3 a) it is circular arc sector grid layer line schematic diagram；Fig. 3 b) define schematic diagram for circular arc sector grid layer line；
Fig. 4 is initial mesh schematic diagram；
Fig. 5 translates schematic diagram for grid；
Fig. 5 a) it is initiating structure grid model schematic diagram；Fig. 5 b) terminate rear model and show for the translation of structured grid model
It is intended to；
Fig. 6 is program flow diagram；
Fig. 7 determines schematic diagram for radius；
Fig. 7 a) determine schematic diagram for grid layer line radius；Fig. 7 b) it is grid layer line revolution motion characteristic circle schematic diagram；Figure
7c) it is grid layer line distribution schematic diagram at back lash；
Fig. 8 is grid revolution translation schematic diagram；
Fig. 8 a) for grid revolve round the sun translation initial position schematic diagram；Fig. 8 b) illustrate for position during grid 90 degree of translation of revolution
Figure；Fig. 8 c) for grid revolution translation 180 degree when position view；Fig. 8 d) for position view during grid 270 degree of translation of revolution；
Fig. 9 is grid schematic diagram at back lash；
Fig. 9 a) it is grid schematic diagram at destructuring back lash；Fig. 9 b) illustrate for structured grid back lash grid
Figure.
In accompanying drawing, the list of parts representated by each label is as follows：
101 circle involute regions；102 circular arc sector；
201 dynamic vortex tooths；202 static vortex tooths；
203 grid layer lines；301 Mesh Normals.
Specific embodiment
For making the object, technical solutions and advantages of the present invention clearer, below embodiment of the present invention is made further
Ground describes in detail.
For problem present in background technology, the present invention proposes a kind of convolute-hydrodynamic mechanics structuring dynamic mesh and builds
Mould method, present invention achieves the Working Process based on structuring dynamic mesh for the convolute-hydrodynamic mechanics, solves existing
Some destructuring dynamic meshes are applied to the problems of convolute-hydrodynamic mechanics numerical simulation, described below：
101：Set up convolute-hydrodynamic mechanics initiating structure grid model；
Set up convolute-hydrodynamic mechanics initialization model as shown in figure 1, now equidistant for normal direction between sound scroll wrap, move
After scroll wrap only first passes through translation, then carry out the convolute-hydrodynamic mechanics work shape that revolution translation could simulate reality
State, sets up convolute-hydrodynamic mechanics initiating structure grid model and is conducive to carrying out the division of structured grid.
1) referring to Fig. 1, Fig. 2 and Fig. 3, convolute-hydrodynamic mechanics working region is divided into the circle being surrounded by circle involute
Shown in involute region 101 (as Fig. 1 a)) and tooth head at through shown in the circular arc sector 102 (as Fig. 1 b) of modification of double arc,
This region is surrounded by the bicircular arcs curve revised.
2) obtain the basic parameter of scroll molded line；
This basic parameter includes：The generation angle of circle involute, the correction exhibition of the angle of spread, base radius and modification of double arc
Angle.
3) it is utilized respectively step 2) basic parameter of scroll molded line that provided carries out to circle involute region 101 meeting
Shown in the division (as Fig. 2 a) of one pre-conditioned modeling and grid layer line 203), this first pre-conditioned is specially：After division
Obtained grid layer line 203 is satisfied by circle involute equation, different grid layer lines 203 be the generation angle α of involute not
With, and the generation angular difference value between adjacent grid layer line 203 is that fixed value is therefore respectively defined as i-th layer (such as from inside to outside
Fig. 2 b) shown in)；
Circular arc sector 102 is carried out meet the second pre-conditioned modeling and grid layer line divides shown in (as Fig. 3 a)), phase
It is the equidistant circular arc line of normal direction between adjacent grid layer line；This second pre-conditioned be specially：Obtained bicircular arcs regional network
Compartment line meets, and each layer of grid layer line is one section of circular arc, and adjacent grid layer line is isocentric circular arc, and radial difference
For fixed value, therefore it is respectively defined as from inside to outside shown in i-th layer (as Fig. 3 b)).
Two parts grid model obtaining the most at last is spliced together and obtains convolute-hydrodynamic mechanics initiating structure grid
Model.I.e. convolute-hydrodynamic mechanics initiating structure grid model is by circle involute area grid model, circular arc sector network mould
Type forms.Convolute-hydrodynamic mechanics initiating structure grid model (as shown in Figure 4) dividing have following features：
A, each layer of grid layer line 203 for circle involute region 101 in same circle involute, circular arc sector 102
Same layer grid grid node on the circle of same radius；
Grid node common normal on B Mesh Normals 301 direction perpendicular with grid layer line 203 is so that in sound whirlpool
Capstan ensure that at back lash, grid layer line 203 is vertical with Mesh Normals 301 during engagement；
The quantity of the grid node that C, convolute-hydrodynamic mechanics initiating structure grid model have is equal to reticulate layer
Product with each layer of grid node；
D, grid ensure that in engagement process grid layer line and Mesh Normals are mutually perpendicular to.
102：In convolute-hydrodynamic mechanics initiating structure grid model, all grid nodes carry out the translation of grid node
Motion；
Carry out the simulation of convolute-hydrodynamic mechanics work process, orbiter should be carried out with translation first as Fig. 5 institute
Show so that completing between sound scroll wrap to engage.Engagement between the orbiting and fixed scroll to be carried out needs to convolute-hydrodynamic mechanics
Shown in initiating structure grid model (as Fig. 5 a)) in all grid nodes carry out the translational motion of grid node, now grid
Between layer line, normal direction is equidistant and grid is evenly distributed；The translation distance carrying out each layer of grid of translational motion is different, finally
Reach back lash between sound scroll wrap, obtain the structured grid model (as Fig. 5 b) that the equally distributed translation of grid terminates
Shown), structured grid translational motion is needed to complete the identification of grid node, the determination of grid node translational displacement, referred to
Determine the point-to-point speed of grid node, complete to engage and reach the time that back lash is terminated.
Characteristics of motion equation：
A, the determination of translational displacement
In formula：
RorRevolution-radius for orbiter；N is total clathrum number；I is the grid of dynamic vortex tooth to fixed scroll
Layer, is defined as i=1,2,3 ... n successively；ΔliDisplacement for i-th layer of grid translation；δ is final sound scroll wrap (201 Hes
202) back lash normal distance.
B, the relation of point-to-point speed
vi=(n-i) vn(2)
In formula：
vnVelocity of displacement for set n-th layer grid translation；viPoint-to-point speed for i-th layer of grid.
C, the identification of grid node
During grid node translation, need to redefine grid node after often carrying out a grid translation circulation
Position is the clathrum that grid node is located, and then determines the point-to-point speed of grid node, therefore it needs to be determined that the knowledge of grid node
Other method, because net region is divided into two regions to be respectively provided with different grid features, therefore for the identification of grid node
Method is equally divided into two regions：
The grid node identification in circle involute region 101：
In formula：
(xi,yi) be any one grid node position coordinateses；RbRadius for basic circle；αiFeature for grid node
Value；The time that T has moved for grid node translation.
The grid node identification of circular arc sector 102：
In formula：
RiFor round radius that grid node is located；(x0,y0) it is initial center coordinate of arc.
Wherein, the determination (as shown in Figure 7) of the revolution translation radius of i-th layer of grid, grid layer line is distinguished from inside to outside
It is defined as i-th layer (i=1,2,3 ... n) shown in (as Fig. 7 a)), and obtain the revolution characteristic circle of each layer of grid layer line (as schemed
Shown in 7b)), it is finally reached grid layer line distribution such as Fig. 7 c at back lash during engagement) shown in, the public affairs of each layer of grid layer line
Turning radius is Ri.
D, reach the time that back lash is terminated
In formula：
Δ t is the time required for translation terminates；
t≤Δt (6)
In order to control final back lash it is only necessary to control the time of grid node motion to meet above-mentioned condition.
103：In convolute-hydrodynamic mechanics initiating structure grid model, all grid nodes are along the circumference of different radii value
Carry out translation of revolving round the sun, finally get convolute-hydrodynamic mechanics structuring dynamic mesh model.
After the translation of initiating structure grid in carrying out step 102, convolute-hydrodynamic mechanics can be proceeded by
The simulation of course of normal operation.In course of normal operation, orbiter does revolution translation, and grid revolution translation initial position is
Convolute-hydrodynamic mechanics have just completed shown in air-breathing (as Fig. 8 a)), grid model such as Fig. 8 b of grid model 90 degree of translation of revolution)
Shown；Grid model such as Fig. 8 c of grid model revolution translation 180 degree) shown in, the grid mould of grid model 270 degree of translation of revolution
Type such as Fig. 8 d) shown in；For structured grid model, each grid node equally does revolution translation.For structured grid
Revolution translation needs to complete the identification of grid node, the determination of the grid node characteristics of motion, grid node revolve round the sun translation radius
Determine, determine the angle of revolution translational motion.
Characteristics of motion equation：
A, the determination of revolution translational motion rule
In formula：
U is the speed in grid node x direction；V is the speed in grid node y direction；ω is the revolution angle speed of dynamic vortex tooth
Degree；θ0Generation angle for circle involute；θ is the angle of spread of circle involute.
B, the determination of grid node revolution translation radius
In formula：
RoriRevolution translation radius for i-th layer of set grid；L is initiating structure grid model sound scroll wrap
Between normal distance；δ is the back lash normal distance of final sound scroll wrap (201 and 202).
C, the identification of grid node
During grid node translation, need to redefine grid node after often carrying out a grid translation circulation
Position is the clathrum that grid node is located, and then determines the point-to-point speed of grid node, therefore it needs to be determined that the knowledge of grid node
Other method, because net region is divided into two regions to be respectively provided with different grid features, therefore for the identification of grid node
Method is equally divided into two regions：
The identification in circle involute region 101：
In formula：
W is dynamic vortex revolution translation angular velocity.
The identification of circular arc sector 102：
D, movement angle：
The angle of revolution motion controls the angle of revolution translation by controlling the time of revolution translation, and the relation of the two is full
Foot：
α=wt；t≤td(11)
In formula：
α is the angle of final revolution translation；tdTime for translation of revolving round the sun.
In sum, using structuring dynamic mesh modeling method so that dynamic vortex tooth revolution translation during, move
At back lash between static vortex tooth grid be evenly distributed and back lash at grid encrypted shown in (as Fig. 9 b)),
And when adopting unstructured grid model to be simulated, only have single layer mesh at the back lash between sound scroll wrap (as schemed
Shown in 9a)) it is impossible to meet the requirement of number of grid at numerical simulation back lash, therefore adopt structuring dynamic mesh model energy
Access more preferable simulation effect, meet the multiple needs in practical application.
It will be appreciated by those skilled in the art that accompanying drawing is the schematic diagram of a preferred embodiment, the embodiments of the present invention
Sequence number is for illustration only, does not represent the quality of embodiment.
The foregoing is only presently preferred embodiments of the present invention, not in order to limit the present invention, all spirit in the present invention and
Within principle, any modification, equivalent substitution and improvement made etc., should be included within the scope of the present invention.
Claims (5)
1. a kind of convolute-hydrodynamic mechanics structuring dynamic mesh modeling method is it is characterised in that described structuring dynamic mesh models
Method comprises the following steps：
Set up convolute-hydrodynamic mechanics initiating structure grid model；
In described convolute-hydrodynamic mechanics initiating structure grid model, all grid nodes carry out the translational motion of grid node,
Specifically include：
The identification of grid node, the determination of grid node translational displacement, specify grid node point-to-point speed, complete to engage and reach
The time terminating to back lash；
On the basis of translational motion, in described convolute-hydrodynamic mechanics initiating structure grid model, all grid nodes are not along
Carry out, with the circumference of radius value, translation of revolving round the sun, specifically include：
The again identifying that of grid node, the determination of the grid node characteristics of motion, grid node are revolved round the sun the determination of translation radius, determination
The angle of revolution translational motion；
Finally give convolute-hydrodynamic mechanics structuring dynamic mesh model；
Wherein, the described step setting up convolute-hydrodynamic mechanics initiating structure grid model is specially：
Convolute-hydrodynamic mechanics working region is divided into the circle involute region being surrounded by circle involute and tooth head by
The circular arc sector that circular arc is surrounded；
Obtain the basic parameter of scroll molded line；
Described circle involute region is carried out meeting the first pre-conditioned modeling and stress and strain model；
Circular arc sector is carried out meet the second pre-conditioned modeling and stress and strain model；
Two parts grid model is obtained convolute-hydrodynamic mechanics initiating structure grid model by splicing.
2. a kind of convolute-hydrodynamic mechanics structuring dynamic mesh modeling method according to claim 1 is it is characterised in that institute
The basic parameter stating scroll molded line includes：The generation angle of circle involute, the correction exhibition of the angle of spread, base radius and circular arc correction
Angle.
3. a kind of convolute-hydrodynamic mechanics structuring dynamic mesh modeling method according to claim 1 is it is characterised in that institute
State first pre-conditioned be specially：
The generation angular difference value that grid layer line after division is satisfied by between circle involute equation, and adjacent grid layer line is fixing
Value.
4. a kind of convolute-hydrodynamic mechanics structuring dynamic mesh modeling method according to claim 1 is it is characterised in that institute
State second pre-conditioned be specially：
Each layer of grid layer line after division is one section of circular arc, and adjacent grid layer line is isocentric circular arc, and semidiameter
It is worth for fixed value.
5. a kind of convolute-hydrodynamic mechanics structuring dynamic mesh modeling method according to claim 3 or 4, its feature exists
In,
Each layer of grid layer line for circle involute region same circle involute, the same layer grid of circular arc sector net
Lattice node is on the circle of same radius；
Grid node common normal on the Mesh Normals direction perpendicular with grid layer line, the orbiting and fixed scroll is during engagement
At back lash, grid layer line is vertical with Mesh Normals；
The quantity of the grid node that convolute-hydrodynamic mechanics initiating structure grid model has be equal to reticulate layer with each
The product of layer grid node；
Grid ensure that in engagement process grid layer line and Mesh Normals are mutually perpendicular to.
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| CN101603530B (en) * | 2009-06-30 | 2012-06-27 | 中国石油大学(华东) | Scroll gas-liquid multiphase mixing transmission pump |
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