CN107992708A - It is a kind of based on the oncomelania of Lagrangian method with floating material traveling locus computational methods - Google Patents
It is a kind of based on the oncomelania of Lagrangian method with floating material traveling locus computational methods Download PDFInfo
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Abstract
The present invention provide it is a kind of based on the oncomelania of Lagrangian method with floating material traveling locus computational methods, including:Step 1: survey region is chosen, and using unstructured P2P network division zoning;Step 2: given primary condition and parameter value;Step 3: oncomelania is calculated respectively in tiMoment is to ti‑1The column vector for the spatial position change drifted about and produced by diffusion, convection current, charming appearance and behaviour in the Δ t periods at moment;Step 4: according to the result of calculation of step 3 and oncomelania in t=ti‑1The moment column vector of locus obtains oncomelania in tiMoment locus;Step 5: according to oncomelania in tiMoment locus node dry and wet judges whether to terminate to calculate.The accurate simulation with floating material migration path to oncomelania can be achieved in the present invention, discloses the Transport of oncomelania on a macroscopic scale, the prevention and control for oncomelania spread and snail fever provide Important Theoretic Foundation and data supporting.
Description
Technical field
Spread the disease control and water environment protection field the present invention relates to water, be specifically a kind of nail based on Lagrangian method
Spiral shell is with floating material traveling locus computational methods.
Background technology
Oncomelania is the unique intermediate host of snail fever, and control oncomelania is that control schistosomiasis sprawling most has with current migration
One of approach of effect.The migration pattern of oncomelania has the migration of suspended load form, the migration of bed load form, migrates three with floating material in water
Kind mode, early-stage study show that migration is mainly to be completed with floating material migration to oncomelania at a distance, therefore grasps oncomelania with drift
Float partitioning rule is effective control oncomelania migration and the premise for implementing accurate prevention and control.But since oncomelania is in water body
Diffusion mobility process is more complicated, at present to oncomelania with the research in terms of floating material diffusion mobility mainly based on qualitative description,
How accurately calculating oncomelania, with floating material diffusion mobility, this problem never solves well in water body, therefore is badly in need of exhibition
Open the research with the Method for Accurate Calculation of floating material diffusion mobility process to oncomelania.
Two class of the mathematical method of substance for calculation transition process in environment water substantially Euler's type and Lagrangian type.Euler
Method is conceived to spatial point, and physical quantity is considered as to the function of space coordinate and time, it actually depict the field of a physical quantity.
The convective-diffusion equation moved commonly used to describe material in water body, is the equation established based on Euler's frame.Asking
When solving this class equation, due to, in the inconsistent of convection current and diffusion spatial and temporal scales, during equation is discrete, will draw in equation
Enter numerical error, cause the diffusion and disperse of error.And Lagrangian method directly describes the movement of particle, by describing respectively
With solve particle with stream movement, the physical process such as random motion, then can be to avoid by not same-action spatial and temporal scales difference institute
Caused error.Further, since other particulate matters such as oncomelania and silt are different, it has with the discontinuous spy of spatial and temporal distributions
Property, therefore, the Lagrangian method based on tracking particle movement is particularly suited for oncomelania than the Euler's method based on physical field concept
The calculating of migration path.
Research mainly uses field inspection and investigation at present, regular summary is carried out to observed result, there has been no on nail
Spiral shell is reported with the research of floating material migration path computational methods.
The content of the invention
The present invention provide it is a kind of based on the oncomelania of Lagrangian method with floating material traveling locus computational methods, realize to oncomelania
With the accurate simulation of floating material migration path, the Transport of oncomelania on a macroscopic scale is disclosed, is oncomelania spread and blood fluke
The prevention and control of disease provide Important Theoretic Foundation and data supporting.
It is a kind of based on the oncomelania of Lagrangian method with floating material traveling locus computational methods, including following steps:
Step 1: survey region is chosen, and using unstructured P2P network division zoning, sizing grid can be according to water
Dynamic condition, meteorological condition and accuracy requirement determine;
Step 2: given primary condition and parameter value:Input simulation period, time interval Δ t, initial time oncomelania
Position coordinates, and the given drag velocity u for simulating each grid node in zoning in the period* i-1, depth of water hi-1, turbulent fluctuation diffusion system
Number ki-1, atmospheric density, water body density information;
Step 3: oncomelania is calculated respectively according to formula (1), (2), (8) in tiMoment is to ti-1The Δ t period internal causes at moment
The column vector for the spatial position change that diffusion, convection current, charming appearance and behaviour are drifted about and produced, time interval Δ t is according to survey region hydrodynamic force
Condition, floating material property and simulation experience give;
Represent oncomelania in ti-1Moment is to tiOncomelania becomes because spreading the defeated locus produced of moving in the Δ t periods at moment
The column vector of change, in formula:Represent oncomelania in ti-1The current time average velocity of locus residing for moment;
It is oncomelania in ti-1Moment is to tiThe row of the spatial position change produced in the Δ t periods at moment by convection current
Vector, in formula:R represent be distributed in section (- 1,1) interior average be 0, the standardized normal distribution random number that variance is 1, kiFor oncomelania
In the turbulence diffusion coefficient at i moment, and ki=β hiui *, wherein β is empirical coefficient, hiFor the depth of water, u* iFor drag velocity;
Oncomelania with floating material during conveying, in the spatial position change that the drift of Δ t period internal causes charming appearance and behaviour produces
Column vectorFor:
In formula: Represent drift thing in t respectivelyiMoment is located on the water surface and immerses water body
In area of section;T is represented respectivelyiThe resistance coefficient of locus air and water body residing for moment floating material;It is illustrated respectively in tiThe density of locus air residing for moment floating material and the density of water;Respectively
Represent in tiLocus residing for moment floating material when equal wind speed, current time average velocity;
Step 4: by the result of calculation of step 3 and oncomelania in t=ti-1The moment column vector of locus brings formula into
(9), you can obtain oncomelania in tiMoment locus Xi;
XiIt is oncomelania in tiMoment locus column vector, Xi-1It is oncomelania in ti-1Moment locus column vector;
Step 5: oncomelania is in tiMoment locus node dry and wet judges:Work as XiWhen place's depth of water is less than critical depth of water, judge
The node is " doing ", then the node is no longer participate in calculating in next step, even the diffusion velocity of oncomelania, convection current at the node
Speed, charming appearance and behaviour drift velocity are zero, and calculating terminates;Work as XiWhen place's depth of water is equal to greatly critical depth of water, return to step three.
Further, critical depth of water is taken as 0.001m described in step 5.
The present invention is on the basis of to the action process of oncomelania and movement mechanism further investigation, by the travel motion of oncomelania point
Solve and float 3 processes for diffusion, convection current, charming appearance and behaviour.Wherein charming appearance and behaviour is drifted in the research of conventional oncomelania and is not considered, the present invention be based on by
Dynamic balance establishes the governing equation of charming appearance and behaviour drift motion, and according to Lagrangian thought, establishes remaining 2 motion process respectively
Mathematical description, and then oncomelania is obtained by linear superposition and migrates computing model with floating material.
Brief description of the drawings
Fig. 1 is flow diagram of the present invention based on the oncomelania of Lagrangian method with floating material traveling locus computational methods;
Fig. 2 is the traveling locus that computational methods proposed by the present invention obtain and the comparison diagram of measured data.
Embodiment
Below in conjunction with the attached drawing in the present invention, the technical solution in the present invention is clearly and completely described.
The procedure decomposition that the present invention transmits oncomelania is diffusion, convection current, charming appearance and behaviour 3 processes of drift, and is established respectively
Its mathematical description:
1st, diffusion term:
When environment liquid is in flow regime, material in company with current particle when move and referred to as spread defeated shifting, oncomelania
During being conveyed with floating material, particle is in ti-1Moment is to tiOncomelania is because spreading the defeated sky for moving generation in the Δ t periods at moment
Between change in location column vectorFor:
In formula:Represent particle in ti-1The current time average velocity of locus residing for moment;
2nd, convective term:
Convention diffusion refers to the transport phenomena produced due to the turbulent fluctuation of water body, and oncomelania is in the process conveyed with floating material
In, particle is in ti-1Moment is to tiThe column vector of the spatial position change produced in the Δ t periods at moment by convection currentFor:
In formula:R represent be distributed in section (- 1,1) interior average be 0, the standardized normal distribution random number that variance is 1, kiFor
Turbulence diffusion coefficient of the particle at the i moment, and ki=β hiui *, wherein β is empirical coefficient, hiFor the depth of water, u* iFor drag velocity;
3rd, charming appearance and behaviour drift term:
Charming appearance and behaviour drift is that the structure being exposed to by floating material in air is subject to conveying caused by wind-force effect, drift thing wind-engaging
Represent as follows with the active force of stream:
In formula:Represent drift thing in t respectivelyiMoment is subject to the active force of wind and stream;Respectively
Represent drift thing in tiMoment is located on the water surface and immerses the area of section in water body;T is represented respectivelyiMoment floats
The resistance coefficient of locus air and water body residing for thing;It is illustrated respectively in tiLocus residing for moment floating material
The density of air and the density of water;It is illustrated respectively in tiLocus residing for moment floating material when
Equal wind speed, current time average velocity, the time average velocity of floating material;
After very short time, suffered external force reaches balance, then can obtain:
The charming appearance and behaviour drift velocity of floating material againIt can be expressed as:
Simultaneous formula (5) and formula (6), it is assumed that using water (flow) direction as positive direction, obtaining charming appearance and behaviour drift velocity is:
In formula:
Therefore, oncomelania becomes during being conveyed with floating material in the locus that the drift of Δ t period internal causes charming appearance and behaviour produces
The column vector of changeFor:
(2) linear superposition diffusion, convection current, charming appearance and behaviour are drifted about 3, obtain oncomelania in tiThe locus at moment is:
In formula:XiIt is oncomelania in tiMoment locus column vector, Xi-1It is oncomelania in ti-1Moment locus row to
Amount.
Fig. 1 is shown the present invention and is illustrated based on the oncomelania of Lagrangian method with the flow of floating material traveling locus computational methods
Figure, this method include following steps:
Step 1: survey region is chosen, and using unstructured P2P network division zoning, sizing grid can be according to water
Dynamic condition, meteorological condition and accuracy requirement determine;
Step 2: given primary condition and parameter value:Input simulation period, time interval Δ t, initial time oncomelania
Position coordinates, and the given drag velocity u for simulating each grid node in zoning in the period* i-1, depth of water hi-1, turbulent fluctuation diffusion system
Number ki-1, atmospheric density, water body density information;
Step 3: oncomelania is calculated respectively according to formula (1), (2), (8) in tiMoment is to ti-1The Δ t period internal causes at moment
The column vector for the spatial position change that diffusion, convection current, charming appearance and behaviour are drifted about and produced, time interval Δ t is according to survey region hydrodynamic force
Condition, floating material property and simulation experience give;
Step 4: by the result of calculation of step 3 and oncomelania in t=ti-1The moment column vector of locus brings formula into
(9), you can obtain oncomelania in tiMoment locus Xi;
Step 5: oncomelania is in tiMoment locus node dry and wet judges:Work as XiPlace's depth of water (can be taken as less than critical depth of water
When 0.001m), it is " doing " to judge the node, then the node is no longer participate in calculating in next step, even positioned at oncomelania at the node
Diffusion velocity, convection velocity, charming appearance and behaviour drift velocity be zero, calculating terminates;Work as XiPlace's depth of water (can be taken as greatly equal to critical depth of water
When 0.001m), return to step three.
To test to the calculating effects of proposition method of the present invention, select to carry out (GPS) field in Yangtze middle reaches
Positioning, which is drifted about, to be tested.The floating material (GPS floating materials) for being equipped with vehicle GPS locating module is launched in above-mentioned waters, is believed by GIS
Platform observation, the Drifting Course of record floating material are ceased, and the oncomelania drift rail that it is calculated with method proposed by the present invention
Mark is contrasted, its effect is as shown in Figure 2.As can be seen from the figure between the actual migration track and modeling track of oncomelania
There are a certain distance deviation, and it is big during deviation when it is small, this is probably due to caused by the randomness of oncomelania convective motion.But
Generally, the distance deviation of two movement locus is relatively small, and the mean error of actual measurement track and analog track range deviation is only
2.1km, and the turning point of analog track and actual measurement track also coincide substantially, it can be seen that, the simulation effect of model is preferable.
The above description is merely a specific embodiment, but protection scope of the present invention is not limited thereto, any
Belong to those skilled in the art the invention discloses technical scope in, the change or replacement that can readily occur in, all should
It is included within the scope of the present invention.
Claims (2)
1. it is a kind of based on the oncomelania of Lagrangian method with floating material traveling locus computational methods, it is characterised in that including following step
Suddenly:
Step 1: survey region is chosen, and using unstructured P2P network division zoning, sizing grid can be according to hydrodynamic force
Condition, meteorological condition and accuracy requirement determine;
Step 2: given primary condition and parameter value:Input simulation period, time interval Δ t, the position of initial time oncomelania
Coordinate, and the given drag velocity u for simulating each grid node in zoning in the period* i-1, depth of water hi-1, turbulence diffusion coefficient
ki-1, atmospheric density, water body density information;
Step 3: oncomelania is calculated respectively according to formula (1), (2), (8) in tiMoment is to ti-1The Δ t periods internal cause diffusion at moment,
Convection current, charming appearance and behaviour drift and produce spatial position change column vector, time interval Δ t according to survey region hydrodynamic condition,
Floating material property and simulation experience give;
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Represent oncomelania in ti-1Moment is to tiOncomelania is because spreading the defeated spatial position change for moving generation in the Δ t periods at moment
Column vector, in formula:Represent oncomelania in ti-1The current time average velocity of locus residing for moment;
<mrow>
<msub>
<mi>&Delta;X</mi>
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It is oncomelania in ti-1Moment is to tiThe column vector of the spatial position change produced in the Δ t periods at moment by convection current,
In formula:R represent be distributed in section (- 1,1) interior average be 0, the standardized normal distribution random number that variance is 1, kiIt is oncomelania in i
The turbulence diffusion coefficient at quarter, and ki=β hiui *, wherein β is empirical coefficient, hiFor the depth of water, u* iFor drag velocity;
Oncomelania during being conveyed with floating material, Δ t period internal causes charming appearance and behaviour drift produce spatial position change row to
AmountFor:
In formula:Represent drift thing in t respectivelyiMoment is located on the water surface and immerses in water body
Area of section;T is represented respectivelyiThe resistance coefficient of locus air and water body residing for moment floating material;It is illustrated respectively in tiThe density of locus air residing for moment floating material and the density of water;Respectively
Represent in tiLocus residing for moment floating material when equal wind speed, current time average velocity;
Step 4: by the result of calculation of step 3 and oncomelania in t=ti-1The moment column vector of locus brings formula (9) into, i.e.,
Oncomelania be can obtain in tiMoment locus Xi;
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XiIt is oncomelania in tiMoment locus column vector, Xi-1It is oncomelania in ti-1Moment locus column vector;
Step 5: oncomelania is in tiMoment locus node dry and wet judges:Work as XiWhen place's depth of water is less than critical depth of water, the section is judged
Point be " doing ", then the node be no longer participate in next step calculate, even at the node diffusion velocity of oncomelania, to flow velocity
Degree, charming appearance and behaviour drift velocity are zero, and calculating terminates;Work as XiWhen place's depth of water is equal to greatly critical depth of water, return to step three.
2. existed as claimed in claim 1 based on the oncomelania of Lagrangian method with floating material traveling locus computational methods, its feature
In:Critical depth of water is taken as 0.001m described in step 5.
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CN109357711A (en) * | 2018-11-07 | 2019-02-19 | 江苏省血吸虫病防治研究所 | A kind of device for tracking oncomelania drift orbit |
CN115983160A (en) * | 2023-02-09 | 2023-04-18 | 溧阳气动创新研究院有限公司 | Lagrange method-based water drop trajectory simulation calculation method |
CN116114462A (en) * | 2023-03-29 | 2023-05-16 | 河海大学 | Water hyacinth interception, encircling and salvaging integrated device |
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