CN106372320A - Method for performing large eddy simulation on highway tunnel turbulence by using sub-filtering scale model - Google Patents
Method for performing large eddy simulation on highway tunnel turbulence by using sub-filtering scale model Download PDFInfo
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Abstract
The invention provides a method for performing large eddy simulation on highway tunnel turbulence by using a sub-filtering scale model. By building a correction function D, an eddy-viscosity coefficient v<Tau> near the railway tunnel wall surface is corrected; after the method for performing large eddy simulation on highway tunnel turbulence by using the sub-filtering scale model is used, the dissipation quantity of the model near the wall surface is greatly improved, so that the dissipation of the small-dimension eddy near the wall surface is balanced; therefore the result conformity of the improved average flow speed profile and the DNS (domain name system) is better.
Description
Technical field
The present invention relates to vcehicular tunnel field, especially, specifically one kind adopts sub- filter scale model to highway
The method that turbulent flow big whirlpool in tunnel is simulated.
Background technology
Turbulent flow, is a kind of flow phenomenon of irregular.Its scrambling not only shows that the physical quantitys such as speed, pressure exist
When aerial random distribution, more show the not repeated of it.Simple turbulent flow can obtain it with the method for mathematical analyses
Main flow behavior, but the unpredictable complicated turbulent flow of Mathematical Method.For complicated turbulent, real except carrying out physics
Beyond testing, numerical simulation is the Main Means it studied and is predicted.
For in theory, with direct Numerical (dns), it is possible to obtain the full detail of field of turbulent flow.But in fact,
The complicated turbulent that direct Numerical is applied to high reynolds number (re) calculates, and needs huge computing resource.In theory
Estimate, the amount of calculation realizing direct Numerical is proportional to re3.
Reynolds average method (rans) is to be asked with numerical method under the boundary condition of given mean motion and initial condition
Solution Reynolds equation.Equal physical quantity when being that Reynolds average method is given, its major advantage is that amount of calculation is little.But its accuracy is relatively
Difference, especially the corner in windward side easily occur the excessive phenomenon of Turbulent Kinetic cite { jincheng2011, cuncfd }.
Large eddy simulation method (les) is between this two classes method above-mentioned.Large eddy simulation method will be whole by filtering operation
Individual Turbulent Flow Field partition of the scale is to filter distinguishable yardstick and the not distinguishable yardstick of sub- filtering.For the fluid filtering distinguishable yardstick
Motion, is calculated with direct Numerical (dns), and the fluid motion for sub- filter scale, then pass through the sub- filter scale of construction
Model to be simulated, the closed mode in similar Reynolds average method.Little yardstick motion due to high reynolds number turbulent flow has
, there is the possibility that construction does not rely on concrete flowing, pervasive sub- filter scale model in theory in universality, thus big whirlpool mould
Intend being considered to have the ability improving turbulent flow precision of prediction, it will substitute commonly used thunder in current engineering in the near future
Promise averaging method, becomes the main method of turbulent flow engineering calculation.
However, due to the understanding enough to turbulent flow little yardstick poverty of movement, existing all kinds of Asias filter scale model is also not
Sub- filter scale (sfs) motion can be described exactly to filtering the impact that distinguishable yardstick (rfs) moves, thus drawing in the calculation
Enter model error.On the other hand, because mostly the turbulent flow handled by large eddy simulation is the unsteady nonlinear many of complexity
Nanoscale systems, directly apply some successful numerical methods in traditional permanent, laminar flow and turbulent flow Reynolds average calculate can carry
Carry out larger numerical error.The non-linear dynamics process that numerical error and model error pass through complexity influences each other so that mesh
Front large eddy simulation calculates and shows sizable uncertainty.
Content of the invention
The purpose of the present invention be calculate for current large eddy simulation vcehicular tunnel turbulent flow is shown sizable not true
Qualitatively problem, proposes a kind of method carrying out large eddy simulation to vcehicular tunnel turbulent flow using sub- filter scale model.Based on
Upper thought, wishes to propose new eddy viscosity computational methods, so that sfs model can cutting by force near wall herein
Appropriate kinetic energy dissipation rate is provided in the calculating cutting turbulent flow.
The technical scheme is that
A kind of method using the big whirlpool simulation to vcehicular tunnel turbulent flow of sub- filter scale model, it includes following step
Rapid:
S1, set up correction function d, aforementioned correction function d is used for the eddy viscosity υ to vcehicular tunnel near wallτCarry out
Revise；
D=d1×d2
d1=1-exp [- (y+/a+)3]
Wherein, a+=25, c1=200,y+Represent is the dimensionless vertical height of wall；
System is glued in s2, the whirlpool of the subfilter model being adopted according to following formula calculating vcehicular tunnel turbulent flow large eddy simulation
Number:
υτ=(cd δ)2|s|
Wherein, c is constant, δ=(δ x δ y δ z)1/3, wherein δ x, δ y and δ z are in the x, y and z directions respectively
Mesh width；S is local train rate, and s is defined asWherein,
The c of the present invention is 0.1.
Beneficial effects of the present invention:
The present invention using sub- filter scale model vcehicular tunnel turbulent flow is carried out large eddy simulation method application after, model
Dissipation amount near wall is greatly improved, and so that the dissipation near wall small size whirlpool is balanced, average after then improving
Flow velocity profile is met preferably with the result of dns.
Brief description
Fig. 1 is velocity flow profile and distribution of shear stress schematic diagram in the vcehicular tunnel of the present invention.
Fig. 2 is using one of mean flow generalized section during standard smagorinsky modeling vcehicular tunnel turbulent flow.
Fig. 3 is two using mean flow generalized section during standard smagorinsky modeling vcehicular tunnel turbulent flow.
Fig. 4 is the distribution schematic diagram of the correction function d that the present invention is given.
Fig. 5 is the function curve near wall for the correction function d that is given of the present invention.
Fig. 6 is the correction function d that is given of the present invention in the function curve remotely from wall.
Fig. 7 is the distribution curve of eddy stress.
1st, vcehicular tunnel top surface；2nd, Tunnel Pavement；3rd, the elevation of zero point in vcehicular tunnel flow field；4th, vcehicular tunnel flow field
Middle part flex point height；5th, the distribution of time average velocity in vcehicular tunnel is illustrated；6th, the turbulent shear stress in vcehicular tunnel is illustrated.
Specific embodiment
The present invention is further illustrated with reference to the accompanying drawings and examples.
Existing Asia filter scale (sfs) model can be roughly classified into feature simulation according to its building method
(functional modeling) and constructivity simulate (struetral modeling) two classes.
The model of feature simulation, with eddy viscosity models as representative, filters distinguishable speed by constructionFunction come straight
Connect the impact of simulation sfs stress.This class model mainly considers the actual effect on the motion impact of rfs yardstick for the sfs yardstick motion, no
It should be understood that the details of sfs yardstick motion.Its Typical Representative has: smagorinsky model, composes eddy viscosity models, structure function
Model (strueture-function model).Kolmogorov eddy viscosity models of v.c.wong and d.k.lilly etc..Mesh
The front dynamic smagorins material model obtaining immense success obviously falls within this class.
The model of constructivity simulation constructs part or all of sfs speed by certain approach from the distinguishable velocity field of filtering
Field u', then byAnd the definition of sfs stress tensor directly obtains the model of sfs stress tensor.This class model is main
There is chaotic maps model, sub- filter scale estimates model and Similarity Model etc..
Air flow in vcehicular tunnel is the complicated turbulent that vehicle travels and causes in the confined space.And due to motion
, as the presence of flow field disturbance factor, tunnel flow field turbulence level is strong for vehicle.Under uniformly continuous wagon flow, in tunnel when equal
Velocity flow profile assumes the s type distribution of double-log along tunnel height.In a small thickness on tunnel inner wall surface (about
20mm), turbulent shear stress is a steady state value.In other regions in tunnel flow field, turbulent shear stress is high with vcehicular tunnel
Degree assumes parabola change.At the middle part (h=(h+hv)/2) in tunnel, shear stress reaches its minima.Tunnel flow field velocity
The flex point of distribution also here height.The maximum of turbulent shear stress concentrates on top and the near-bottom region in tunnel.Highway
Velocity flow profile in tunnel and distribution of shear stress are as shown in Figure 1.1st, vcehicular tunnel top surface；2nd, Tunnel Pavement；3rd, highway
The elevation of zero point in tunnel flow field, can be taken as 0.05m；4th, flex point height in the middle part of vcehicular tunnel flow field, can be taken as 2.525m.
When using standard smagorinsky modeling vcehicular tunnel turbulent flow, due near wall Strong shear stress
Exist so that calculated mean flow section is higher, result is not good enough.Horiutik large eddy simulation calculating in, using dynamic
Eddy viscosity models (dynamic smagorinsky model) and dynamic mixed model (dynamic mixed model), calculate
The mean flow section obtaining is substantially higher (Fig. 2).The calculating of gullbrand j also indicates that, dynamic eddy viscosity models and dynamically mixing
Matched moulds type can cause the mean flow section of tunnel wall surface flow field substantially higher (Fig. 3).Also carried out with dynamic eddy viscosity models herein
Calculate, the result obtaining also has a substantially higher problem (Fig. 2, Fig. 3).
It is substantially energy effect that sub- filter scale motion can divide the effect of pigtail yardstick motion to filtering, thus (sub- filtering
Scale Model) as long as being capable of the energy transmission in this Liang Ge yardstick area of correct balance it is possible to fully describe sub- filter scale motion
The impact of (pigtail yardstick can be divided to move filtering).The model of feature simulation is simulated by eddy viscosity from the angle of the energy balance
Sfs dissipates, and accurate mean kinetic energy generally can be provided in the case of free turbulence to dissipate.However, due to eddy viscosity
Dependency between model and sfs stress is very low, and this class model is difficult to provide accurate sfs stress, thus in sfs stress lifting
The situation such as occasion to be acted on, such as turbulent closure scheme, wall flowing, result is just not ideal enough.This research is paid close attention to tunnel top and is opened
Flow field characteristic at mouthful, so obtain relatively accurate flow field parameter at wall with regard to inevitable requirement.
Real sfs stress while filtering distinguishable yardstick extracts kinetic energy, also anti-to filtering distinguishable yardstick
To transmission kinetic energy, i.e. so-called inverse level string.It is true that the research to turbulent flow direct Numerical result shows, although averagely dynamic
Energy level string always positive (transmitting to little yardstick from large scale), the instantaneous kinetic energy transmission of each local space position then both may
Be forward direction be also likely to be reverse, and the positive level string of energy and inverse level string in magnitude quite, both ratio mean kinetic energy levels
String is much greater.In order to provide correct Turbulent Mean Kinetic Energy Dissipation Rate, the model of the so pure dissipativeness of eddy viscosity models, its magnitude
Must match with Turbulent Mean Kinetic Energy Dissipation Rate, and Turbulent Mean Kinetic Energy Dissipation Rate is much smaller than the instantaneous energy transmission of partial points, this just determines
Determine eddy viscosity models to be difficult to match with sfs stress in partial points.Dynamic smagorinsky model utilize local similarity
Dynamic decision model coefficient, can obtain inverse level string effect by producing negative sfs viscosity, however such against can transmit be with very
Real level string effect is inconsistent.These shortcomings of eddy viscosity models make it be difficult to become good " universality " model,
It is true that the universal constant different pattern of flow not being all suitable for is a major defect of eddy viscosity models.
The model of constructivity simulation to obtain sfs stress by constructing sfs yardstick and moving, and some of them achieve huge
Success.For example, Similarity Model, inverse convolution model and velocity gradient model etc., all show the height and true stress between
Degree dependency, and inverse level string effect can be automatically generated.However, these models and some other explicitly consider energy
The sfs model of amount balance, all shows and can not produce the problem that enough mean kinetic energies dissipate, and needs and eddy viscosity models cooperation
Use, obtain so-called mixed model.
In the energy level string mechanism of turbulent flow, the momentum-transport of turbulent flow and Turbulent Mean Kinetic Energy Dissipation Rate are all by Large Scale Motion institute
Determine, Large Scale Motion determines and extracts kinetic energy from mean flow and be transmitted to the speed of little yardstick motion, and the motion of little yardstick is then led to
Cross and produce the small-scale structure accordingly enriching degree, with the kinetic energy dissipation providing the kinetic energy input with Large Scale Motion to match
Rate.The fact that it is meant that Large Scale Motion is insensitive to little yardstick motion details, as long as thus large eddy simulation calculate sfs
Model provides appropriate kinetic energy dissipation rate, and the result of calculation of Large Scale Motion just will have ballpark statistical property, and
The details of sfs model dissipation mechanism then affects less on result.Based on above thought, wish that proposing a new whirlpool glues system herein
Number calculating method, so that sfs model can provide appropriate kinetic energy dissipation in the calculating of the Strong shear turbulent flow of near wall
Rate.
The most basic problem of large eddy simulation seeks to provide suitable subscale grid model.
The present invention proposes new sub- filter scale model, is allowed to be applied to the flow pattern of vcehicular tunnel.New sub- filter
Ripple Scale Model is mainly reflected in the algorithms of different of the correction function d of near wall eddy viscosity.Correction factor in the present invention
Comprise two parts, concrete form is as follows:
D=d1×d2
d1=1-exp [- (y+/a+)3]
Wherein, a+=25, c1=200,
Fig. 4 is the distribution of correction function d given herein.At wall, correction function d is zero.Mistake in velocity profile
Cross correction function d in layer to increase rapidly, whenWhen, new correction function d reaches its peak value, is gradually lowered afterwards again, and becomes
To in 1.As seen from the figure, eddy viscosity is strengthened near the transition zone of velocity profile.Fig. 6 exists for new correction function d
The function curve of near wall, Fig. 7 is new correction function d in the function curve remotely from wall.
Compliance test result and Test of accuracy
Fig. 7 gives the contrast of the mean flow velocity profile before and after improvement and dns result.Abscissa is with wall parameter no
The normal direction coordinate of dimension, empty circles are the result of calculation before improving, and solid circles are the result of calculation after improving, wherein
Rer=387, solid line directly simulates the result of calculating, rer=395 for moser r d.It can be seen that before improvement,
Because the dissipation near wall small size whirlpool is larger, and the dissipation amount of model is also not enough to be allowed to balance, then mean flow speed
Section is higher.After improvement, dissipation amount near wall for the model is greatly improved, and so that the dissipation near wall small size whirlpool is obtained
Balance, after then improving, mean flow velocity profile and the result of dns meet preferably.
Part that the present invention does not relate to is all same as the prior art or can be realized using prior art.
Claims (2)
1. a kind of using the sub- filter scale model method that big whirlpool is simulated to vcehicular tunnel turbulent flow, it is characterized in that it include with
Lower step:
S1, set up correction function d, aforementioned correction function d is used for the eddy viscosity υ to vcehicular tunnel near wallτIt is modified；
D=d1×d2
d1=1-exp [- (y+/a+)3]
Wherein, a+=25, c1=200,y+Represent is the dimensionless vertical height of wall；
S2, the eddy viscosity of the subfilter model being adopted according to following formula calculating vcehicular tunnel turbulent flow large eddy simulation:
υτ=(cd δ)2|s|
Wherein, c is constant, δ=(δ x δ y δ z)1/3, wherein δ x, δ y and δ z are grid in the x, y and z directions respectively
Width；S is local train rate, and s is defined asWherein,
2. the method using the big whirlpool simulation to vcehicular tunnel turbulent flow of sub- filter scale model according to claim 1,
It is characterized in that described c is 0.1.
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Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN108133079A (en) * | 2017-12-01 | 2018-06-08 | 上海理工大学 | Field of turbulent flow coherent structure extracting method in IC engine cylinder |
| CN109858148A (en) * | 2019-01-30 | 2019-06-07 | 南京航空航天大学 | A kind of turbulent flow calculation method based on part filtering |
| CN112131800A (en) * | 2020-07-20 | 2020-12-25 | 中国科学院力学研究所 | Novel large vortex simulation method and device based on energy flow similarity |
| CN113111610A (en) * | 2021-05-10 | 2021-07-13 | 中国空气动力研究与发展中心计算空气动力研究所 | Novel sub-lattice scale model establishing method |
| CN115859760A (en) * | 2022-04-29 | 2023-03-28 | 中广核风电有限公司 | Method and device for simulating flow field turbulence |
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Cited By (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108133079A (en) * | 2017-12-01 | 2018-06-08 | 上海理工大学 | Field of turbulent flow coherent structure extracting method in IC engine cylinder |
| CN109858148A (en) * | 2019-01-30 | 2019-06-07 | 南京航空航天大学 | A kind of turbulent flow calculation method based on part filtering |
| CN109858148B (en) * | 2019-01-30 | 2023-06-09 | 南京航空航天大学 | Turbulence calculation method based on partial filtering |
| CN112131800A (en) * | 2020-07-20 | 2020-12-25 | 中国科学院力学研究所 | Novel large vortex simulation method and device based on energy flow similarity |
| CN112131800B (en) * | 2020-07-20 | 2024-04-12 | 中国科学院力学研究所 | Novel large vortex simulation method and device based on energy flow similarity |
| CN113111610A (en) * | 2021-05-10 | 2021-07-13 | 中国空气动力研究与发展中心计算空气动力研究所 | Novel sub-lattice scale model establishing method |
| CN113111610B (en) * | 2021-05-10 | 2022-10-14 | 中国空气动力研究与发展中心计算空气动力研究所 | Sub-lattice scale model establishing method |
| CN115859760A (en) * | 2022-04-29 | 2023-03-28 | 中广核风电有限公司 | Method and device for simulating flow field turbulence |
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