CN112668256A - Vertical seam type fishway vortex identification method - Google Patents
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Abstract
The invention relates to a vertical seam type fishway vortex identification method, and belongs to the field of hydraulic engineering, ecological engineering and engineering fluid detection and control. The method comprises the following steps: the method specifically comprises the following steps: and identifying the vortex in the vertical seam type fishway by adopting a second invariant Q in the velocity gradient tensor in the Q criterion with Galileo invariance. The method comprises the following steps: firstly, establishing a computational fluid mechanics model based on a Q criterion; secondly, carrying out numerical calculation on the three-dimensional flow field; and finally, performing vortex identification by adopting a Q criterion. The method effectively identifies the vortex area in the vertical seam type fishway, has high effectiveness, and simultaneously expands the application of the vortex identification technology in the field of hydraulic engineering.
Description
Technical Field
The invention relates to a vertical seam type fishway vortex identification method, in particular to a vertical seam type fishway vortex identification method, which is a fishway vortex identification method combining model establishment and vortex dynamics identification methods and belongs to the field of hydraulic engineering, ecological engineering and engineering fluid detection and control.
Background
Hydraulic engineering also brings some influences on ecological environment while making interest and removing harm, for example, the ecological environment causes obstacles to fish migration. The fishway is used as an ecological compensation project and plays an important role in protecting fish resources and recovering river biodiversity. In numerous fishway types, the actual operation of the vertical seam type fishway has achieved good effect, however, the energy dissipation of the vertical seam type fishway is mainly concentrated at the vertical seam, the narrow beam of the vertical seam enables water flow to form vortex, the flow rate in the fishway is too high, the flow state of the water flow is relatively disordered due to the large vortex range, and the fishes with small volume are easily restricted by upward tracking. Vortex flow states such as appearing in rivers can cause the injury of different degrees to fish, if sprain the health, hit bad eyes, balancing ability decline, if the indoor vortex yardstick of pond is too big, surpasss the accommodation of fish, fish will lose the direction, even bump baffle and boundary wall, influence fish efficiency. With the development of modern fluid mechanics science, the identification and visualization research on the vortex is also deepened continuously, the vortex structure is widely appeared and applied to fluid machinery, and meanwhile, the vortex structure has many breakthroughs in the fields of medicine, aviation and oceans. Therefore, the hydraulic characteristics of the vertical seam type fishway, particularly the vortex characteristics in the fishway, are researched, and a basis is provided for optimizing the fishway design and repairing the fish habitat.
In view of the wide application of the vortex identification technology in the fluid field, the vortex identification technology can be used for identifying the vortex in the fishway and has important guiding significance for fishway design, and the related vortex criteria under the Galileo invariance for identifying the vortex mainly comprise the following representative methods.
λ2Criterion is as follows: lambda [ alpha ]2The criterion omits a transient stress item and a viscosity item, and passes through S2+Q2To obtain a very small pressure at the vortex core, which inevitably causes corresponding errors. From λ2The local minimum pressure point defined by the criterion needs to satisfy that the pressure gradient near the point is zero, and S2+Q2There are two negative eigenvalues. Thus, λ2The criterion discards vortex structures at points where the pressure is minimal but not zero gradient. Lambda [ alpha ]2The vortexes identified by the criterion are mixed with small-scale vortexes, so that lambda is easily received2The influence of the threshold;
λcicriterion is as follows:eliminating large regions of helical motion, includingStrong inward eddy current sumStronger outward vortex. In addition, the criterion of the vortex intensity is easily influenced by the local vortex intensity. Strictly speaking, the vortex region will be expanded with a greater local vortex intensity.
The criterion of delta is as follows: this criterion is also a weak criterion. Because this criterion, while indicating that a region V with a vortex has a complex (imaginary) eigenvalue, does not make it clear whether all eigenvalues of V are real for a region without a vortex.
The summary of the research on the above methods shows that in the above mentioned typical methods with galileo invariance, there are some disadvantages in identifying fluid vortexes, and the identification effect is general, so it is necessary to establish a numerical simulation method capable of effectively identifying vortexes in the vertical seam type fishway.
Disclosure of Invention
The invention provides a method for effectively identifying vertical seam type fishway vortexes, which plays an important role in optimizing fishway design and expands the application of a vortex identification technology in the field of fluid.
The technical scheme adopted by the invention for solving the technical problems is as follows: a vertical seam type fishway vortex identification method comprises the following steps:
1) establishing a three-dimensional geometric model of a vertical seam type fishway calculation domain, and establishing the three-dimensional geometric model of the calculation domain by using geometric modeling software according to a structure size diagram of a three-dimensional flow calculation domain which is actually researched;
2) establishing a three-dimensional flow computational fluid mechanics model, wherein the three-dimensional flow computational fluid mechanics model comprises a flow control equation;
the fluid flowing through the fishway is assumed to be incompressible Newtonian fluid, and the flow control equation is composed of a continuous equation, a momentum equation and a k-epsilon equation:
the continuous equation:
the momentum equation:
wherein t represents time; u. ofi、ujAre respectively xiAnd xjAverage flow velocity in the direction (i, j ═ 1,2, 3); p is the average pressure; ρ is the fluid density; giThe gravity acceleration in different directions; k is turbulent kinetic energy; epsilon is the turbulent kinetic energy dissipation rate; mu is the water molecule viscosity coefficient; v. ofTIs the turbulent flow motion viscosity coefficient; cμ0.085, which is a semi-empirical coefficient;
the k equation and the epsilon equation have the following forms
In the above formulas, σkAnd σεThe turbulence Prandtl constants of the k equation and the epsilon equation, respectively, are taken at this timek=σε=0.72;Cε1For a semi-empirical coefficient, take Cε1=1.42;Cε2Calculated from the shear rates of the k, ε and RNG models, take Cε2=1.68;PkFor turbulent energy generation by mean velocity gradientAn item;
the principle of tracking the water flow free surface motion by adopting a volume resolution method VOF is that the difference of the same fluid control equation form but different physical properties of air and water is substituted into a control equation in a proportion mode, and then the position of a free surface is determined by solving a volume fraction continuous equation of water and gas phases. The equation is in the form:
in the formula: alpha is alphawIs the volume fraction of water; alpha is alphaw0 means that all gas phases are in the calculation unit; alpha is alphaw1 indicates that all water phases are in the calculation unit; alpha is more than 0w< 1 indicates that both the aqueous phase and the gas phase are contained in the calculation unit.
3) Calculating domain grid division, namely performing grid division on a calculation region by adopting a hexahedral structured grid, encrypting grids of a fishway side wall, a top region and a water flow region at a vertical seam so as to facilitate numerical calculation, obtaining refined flowing physical parameters, estimating calculation grid dispersion errors by adopting grid uncertainty estimation methods such as GCI and GCI-OR based on Richardson extrapolation, and determining the number of calculation grids;
4) setting boundary conditions and algorithms, and setting corresponding calculation areas, solving methods and boundary conditions according to the actual operation conditions of the researched object to carry out numerical calculation of the three-dimensional flow field: selecting a pool room to be simulated in the calculation area; adopting a volume control method to disperse partial differential equation sets, and adopting a SIMPLE method for pressure and speed coupling; the model inlet adopts a speed inlet, and the average flow speed of the early test data is taken as the inlet flow speed; the outlet is a pressure outlet; the top is provided with a gas pressure inlet with the pressure of 1.01 multiplied by 105 Pa; the side wall, the bottom and the partition board are set as fixed wall boundaries which adopt standard non-slip boundaries, namely the wall surface speed is 0 m/s; and based on the established computational fluid dynamics model, performing numerical calculation on the three-dimensional flow field;
5) and (4) post-processing analysis, namely analyzing and processing the result calculated and output in the step 4) by adopting post-processing software to obtain flow field information, wherein the flow field information comprises a velocity field, a pressure difference, a vorticity field, gas-phase and liquid-phase volume fractions, a vortex form and an evolution development process thereof.
6) Identifying the vertical seam type fishway vortex based on the Q criterion, and writing an application program of the Q criterion in the discrete vector field data to identify the vortex.
Performing vortex identification on a vortex region in a three-dimensional flow field of a region to be distinguished by adopting a Q criterion theoretical method, wherein the Q value is as follows:
wherein S and Ω are the symmetric and antisymmetric portions of the velocity gradient tensor matrix, respectively, which can be solved by the following equations:
the velocity gradient in the above equation is obtained based on the coordinate transformation of the velocity gradient tensor V under the original coordinate system:
Based on the velocity gradient tensor according to a preset identification methodThe second invariant Q in (1) identifies the vortex region in the slot fishway, when Q is>0, then the presence of a vortex is demonstrated, otherwise none.
Specifically, in the mesh division in 3), a hexahedral structure mesh with good convergence is adopted to perform mesh division on a calculation area, and the time step length depends on the size of the mesh and the flow velocity;
specifically, in the grid encryption processing in 3), the simulation precision of the water flow area at the side wall, the top area and the vertical seam of the fishway directly influences the simulation result of the water flow structure of the pool chamber, and then the grid is encrypted;
specifically, the 5) post-processing software can be analyzed by using the CFD software with its own post-processing and general CFD post-processing software, such as Tecplot, Paraview, and the like.
Specifically, according to the criterion Q in 6), Q >0 indicates that the rotation tensor Ω is greater than the strain rate tensor S, that is, the rotation force of the fluid is greater than the strain force, so as to ensure the existence of the vortex, and effectively identify the vortex region in which the rotation of the fluid in the flow field is dominant.
The invention has the beneficial effects that:
by means of a pair of2Criterion, lambdaciThe comparison of the criterion, the delta criterion and the Q criterion shows that: the Q method gives the best results. Criterion Q: q>0 means that the rotational force of the fluid is greater than the strain force (i.e., the vortex tensor is greater than the strain rate tensor), thereby ensuring the presence of vortices. The larger the Q value is, the larger the difference between the vorticity and the deformation rate is; generation of vortices, Q>The 0 criterion is more stringent than the vorticity criterion. The number of flow structures identified by the Q criterion represents the number of vortex structures in the flow field and can capture a large amount of flow information, such as: the extent of distribution, volume, shape, profile, etc. of the vortices. Therefore, the method for identifying the vertical seam type fishway vortex by adopting the Q criterion is the best choice considering the advantages of all main criteria.
The invention relates to a method for identifying a vertical seam type fishway vortex, which adopts a method for carrying out geometric modeling and numerical simulation calculation of a flow field on a three-dimensional flow field in a fishway to ensure the accuracy of vortex identification, adopts a vortex identification method that a second Galileo invariant Q & gt 0 of a velocity gradient tensor represents a vortex structure, the physical significance of the method lies in that the vortex structure not only requires the existence of vorticity (antisymmetric tensor omega), but also requires the antisymmetric tensor omega to overcome the offset effect represented by the symmetric tensor S, thereby improving the accuracy of fishway vortex identification, and is helpful for researching the vortex generation process of the vortex area in the fishway by analyzing the physical information of the convection field, the method has important practical significance and ecological engineering value for recognizing the vortex structure characteristics in the fishway and solving a plurality of problems caused by the vortex, and can be popularized and applied to the field of fluid detection and control by using various vortex recognition methods.
Drawings
FIG. 1 is a flow chart of the calculation of vortex identification for a slotted fishway using the Q criterion.
Detailed Description
The invention is further described below with reference to the accompanying drawings and specific embodiments.
Example 1: referring to fig. 1, a method for identifying a vertical seam type fishway vortex, the method comprising the steps of:
1) establishing a three-dimensional geometric model of a vertical seam type fishway calculation domain: according to a structure size diagram of a three-dimensional flow calculation domain which is actually researched, a three-dimensional geometric model of the calculation domain is established by utilizing geometric modeling software;
2) a three-dimensional flow computational fluid dynamics model is established, the three-dimensional flow computational fluid dynamics model including a flow control equation.
The fluid flowing through the fishway is assumed to be incompressible Newtonian fluid, and the flow control equation is composed of a continuous equation, a momentum equation and a k-epsilon equation:
the continuous equation:
the momentum equation:
wherein t represents time; u. ofi、ujAre respectively xiAnd xjAverage flow velocity in the direction (i, j ═ 1,2, 3); p is the average pressure; ρ is the fluid density; giThe gravity acceleration in different directions; k is turbulent kinetic energy; epsilon is the turbulent kinetic energy dissipation rate; mu is the water molecule viscosity coefficient; v. ofTIs the turbulent flow motion viscosity coefficient; cμ0.085, a semi-empirical coefficient.
The k equation and the epsilon equation have the following form:
in the above formulas, the other sigmakAnd σεThe turbulence Prandtl constants of the k equation and the epsilon equation, respectively, are taken at this timek=σε=0.72;Cε1For a semi-empirical coefficient, take Cε1=1.42;Cε2Calculated from the shear rates of the k, ε and RNG models, take Cε2=1.68;PkGenerating terms for the turbulence energy caused by the average velocity gradient;
the principle of tracking the water flow free surface motion by adopting a volume resolution method VOF is that the difference of the same fluid control equation form but different physical properties of air and water is substituted into a control equation in a proportion mode, and then the position of a free surface is determined by solving a volume fraction continuous equation of water and gas phases. The equation is in the form:
in the formula: alpha is alphawIs the volume fraction of water; alpha is alphaw0 means that all gas phases are in the calculation unit; alpha is alphaw1 indicates that all water phases are in the calculation unit; alpha is more than 0w< 1 indicates that both the aqueous phase and the gas phase are contained in the calculation unit;
3) calculating domain grid division, namely performing grid division on a calculation region by adopting a hexahedral structured grid, encrypting grids of a fishway side wall, a top region and a water flow region at a vertical seam so as to facilitate numerical calculation to obtain refined physical parameters, and estimating calculation grid dispersion errors and determining the number of calculation grids by adopting grid uncertainty estimation methods such as GCI, GCI-OR and the like based on Richardson extrapolation;
4) setting boundary conditions and algorithms, and setting corresponding calculation areas, solving methods and boundary conditions according to the actual operation conditions of the researched object to carry out numerical calculation of the three-dimensional flow field: selecting a pool room to be simulated in the calculation area; adopting a volume control method to disperse partial differential equation sets, and adopting a SIMPLE method for pressure and speed coupling; the model inlet adopts a speed inlet, and the average flow speed of the early test data is taken as the inlet flow speed; the outlet is a pressure outlet; the top is provided with a gas pressure inlet with the pressure of 1.01 multiplied by 105 Pa; the side wall, the bottom and the partition board are set as fixed wall boundaries which adopt standard non-slip boundaries, namely the wall surface speed is 0 m/s; and performing numerical calculation on the three-dimensional flow field based on the established computational fluid dynamics model.
5) Post-processing analysis, adopting post-processing software to analyze and process the result output by the calculation of 4), and obtaining flow field information: including velocity fields, pressure differences, vorticity fields, gas and liquid phase volume fractions, vortex morphology and evolution development processes thereof.
6) Identifying the vertical seam type fishway vortex based on the Q criterion, and writing an application program of the Q criterion in the discrete vector field data to identify the vortex.
Performing vortex identification on a vortex region in a three-dimensional flow field of a region to be distinguished by adopting a Q criterion theoretical method, wherein the Q value is as follows:
wherein S and Ω are the symmetric and antisymmetric portions of the velocity gradient tensor matrix, respectively, which can be solved by the following equations:
the velocity gradient in the above equation is obtained based on the coordinate transformation of the velocity gradient tensor V under the original coordinate system:
According to a preset identification method, identifying a vortex area in the perps fishway based on a second invariant Q in the velocity gradient tensor, and when Q is greater than 0, proving that a vortex exists, otherwise, not.
Further, in the mesh division in 3), the calculation area is subjected to mesh division by adopting a hexahedral structure mesh with better convergence, and the time step length depends on the size of the mesh and the flow velocity;
further, the grid in 3) is encrypted, and the simulation result of the pool chamber water flow structure is directly influenced by the simulation precision of the side wall, the top area and the water flow area at the vertical seam of the fishway, so that the grid is encrypted;
further, the post-processing software of 5) can utilize the post-processing of each CFD software and the general CFD post-processing software to perform analysis, such as Tecplot, Paraview, and the like.
Further, according to the criterion Q in 6), Q >0 indicates that the rotation tensor Ω is greater than the strain rate tensor S, that is, the rotation force of the fluid is greater than the strain force, so as to ensure the existence of the vortex, and effectively identify the vortex region in which the rotation of the fluid in the flow field is dominant.
The technical scheme of the invention is explained in detail by combining the attached drawings, the invention combines a three-dimensional flow field, establishes a model, performs numerical simulation analysis, and constructs a method for identifying a vortex region in the vertical seam type fishway by using a second invariant Q in a velocity gradient tensor, when Q is greater than 0, the vertical seam type fishway is proved to have vortex, a large amount of flow information can be captured from the vortex flow characteristics, the vortex generation process of the vortex region in the fishway can be reflected, and the vertical seam type fishway is favorably and continuously optimized and improved in research so as to meet the development requirement of the current ecological engineering.
The present invention is not limited to the technical method described, and those skilled in the art can make various substitutions and modifications within the principle and technical idea of the present invention, and the scope of the present invention should be considered as the protection scope of the present invention.
Claims (6)
1. A vertical seam type fishway vortex identification method is characterized by comprising the following steps: the method specifically comprises the following steps:
1) establishing a three-dimensional geometric model of a vertical seam type fishway calculation domain: according to a structure size diagram of a three-dimensional flow calculation domain which is actually researched, a three-dimensional geometric model of the calculation domain is established by utilizing geometric modeling software;
2) establishing a three-dimensional flow computational fluid mechanics model, wherein the three-dimensional flow computational fluid mechanics model comprises a flow control equation;
the fluid flowing through the fishway is assumed to be incompressible Newtonian fluid, and the flow control equation is composed of a continuous equation, a momentum equation and a k-epsilon equation:
the continuous equation:
the momentum equation:
wherein t represents time; u. ofi、ujAre respectively xiAnd xjAverage flow velocity in the direction (i, j ═ 1,2, 3); p is the average pressure; ρ is the fluid density; giThe gravity acceleration in different directions; k is turbulent kinetic energy; epsilon is the turbulent kinetic energy dissipation rate; mu is the water molecule viscosity coefficient; v. ofTIs the turbulent flow motion viscosity coefficient; cμ0.085, which is a semi-empirical coefficient;
the k equation and the epsilon equation have the following form:
in the above formulas, σkAnd σεRespectively k equation and epsilon squareThe turbulent Prandtl constant of the equation, where σ is takenk=σε=0.72;Cε1For a semi-empirical coefficient, take Cε1=1.42;Cε2Calculated from the shear rates of the k, ε and RNG models, take Cε2=1.68;PkGenerating terms for the turbulence energy caused by the average velocity gradient;
the method adopts a volume resolution method VOF to track the movement of the free surface of water flow, and adopts the principle that the difference of the same fluid control equation form but different physical properties of air and water is substituted into a control equation in a proportion mode, so that the position of the free surface is determined by solving a volume fraction continuous equation of water and gas phases, wherein the equation form is as follows:
in the formula: alpha is alphawIs the volume fraction of water; alpha is alphaw0 means that all gas phases are in the calculation unit; alpha is alphaw1 indicates that all water phases are in the calculation unit; alpha is more than 0w< 1 indicates that both the aqueous phase and the gas phase are contained in the calculation unit;
3) calculating domain gridding, namely gridding a calculation region by adopting hexahedral structured grids, encrypting the grids of the side wall, the top region and the water flow region at the vertical seam of the fishway so as to facilitate numerical calculation, obtaining refined flowing physical parameters, estimating the calculation grid dispersion error by adopting a grid uncertainty estimation method based on the Richardson extrapolation method and determining the number of the calculation grids;
4) setting boundary conditions and algorithms, and setting corresponding calculation areas, solving methods and boundary conditions according to the actual operation conditions of the researched object to carry out numerical calculation of the three-dimensional flow field: selecting a pool room to be simulated in the calculation area; adopting a volume control method to disperse partial differential equation sets, and adopting a SIMPLE method for pressure and speed coupling; the model inlet adopts a speed inlet, and the average flow speed of the early test data is taken as the inlet flow speed; the outlet is a pressure outlet; the top is provided with a gas pressure inlet with the pressure of 1.01 multiplied by 105Pa; a side wall,The bottom and the partition board are set as fixed wall boundaries which adopt standard non-slip boundaries, namely the wall surface speed is 0 m/s; and based on the established computational fluid dynamics model, performing numerical calculation on the three-dimensional flow field;
5) post-processing analysis, namely analyzing and processing the result output by the calculation in the step 4) by adopting post-processing software to obtain flow field information;
6) identifying the vertical seam type fishway vortex based on the Q criterion, and writing an application program of the Q criterion in the discrete vector field data to identify the vortex;
performing vortex identification on a vortex region in a three-dimensional flow field of a region to be distinguished by adopting a Q criterion theoretical method, wherein the Q value is as follows:
wherein S and Ω are the symmetric and antisymmetric portions of the velocity gradient tensor matrix, respectively, which can be solved by the following equations:
the velocity gradient in the above equation is based on the velocity gradient tensor in the original coordinate systemObtaining the following coordinate transformation:
according to a preset identification method, identifying a vortex region in the perps fishway based on a second invariant Q in the velocity gradient tensor V, and when Q is greater than 0, the rotation tensor omega is greater than the strain rate tensor S, namely the rotation force of the fluid is greater than the strain force, the fact that a vortex exists is proved, and otherwise, the vortex does not exist.
2. The method of claim 1, wherein the method comprises the following steps: in the structural size diagram of the three-dimensional flow calculation domain in the step 1), different calculation domains can establish a three-dimensional geometric model of the corresponding calculation domain according to the sizes of the calculation domains.
3. The method of claim 1, wherein the method comprises the following steps: and 3) carrying out meshing on the calculation area by adopting a hexahedral structure mesh with better convergence, wherein the time step length depends on the size of the mesh and the flow velocity.
4. The method of claim 1, wherein the method comprises the following steps: the grid uncertainty estimation method based on the Richardson extrapolation method in the step 3) comprises GCI, GCI-OR, GCI-LN, GCI-R, CF and FS.
5. The method of claim 1, wherein the method comprises the following steps: the post-processing software in the step 5) can be analyzed by utilizing the post-processing of each CFD software and the general CFD post-processing software.
6. The method of claim 1, wherein the method comprises the following steps: and 5) flow field information including a velocity field, a pressure difference, a vorticity field, gas-phase and liquid-phase volume fractions, a vortex form and an evolution development process thereof.
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