CN109344531A - Forecast the three-dimensional frequency domain value method of more float structure object wave drift load - Google Patents
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Abstract
The present invention is to provide a kind of three-dimensional frequency domain value methods for forecasting more float structure object wave drift load.Grid file is read, carries out ship hydrostatic calculation using gridding information；Calculate the influence coefficient matrix of Simple Green Function；Calculate the influence coefficient matrix of complicated frequency domain Green's function；Constituent parts radiation velocity gesture and diffraction velocity potential and its space derivation are solved using Taylor expansion Element BEM；Each monomer hydrodynamic force coefficient of more float structures solves；More the motion equations solve；Wave force and wave the drift load of whole, each monomer of more float structures solve；RAO is responded according to floating motion, floating motion spectrum analysis in irregular wave is carried out and calculates.The hydrodynamic force coefficient for capableing of each monomer of the more float structures of Exact Forecast can be forecast using method of the invention, move RAO, wave force, the wave drift load and floating motion spectrum analysis result in six degree of freedom direction.
Description
Technical field
It is especially a kind of to be simulated using three-dimensional Taylor expansion Element BEM the present invention relates to a kind of method for numerical simulation
Consider the numerical method of more float structure object wave drift load.
Background technique
More float structures are common in offshore wind turbine；Offshore lifting, supply, salvaging or ship are formed into columns.Each floating body
Between exist and interfere with each other, most commonly seen is double floating body hydrodynamic force problem.Compared with single floating body problem, hydrodynamic force coefficient is floated
Body motor imagination, drift load are necessarily influenced by other floating bodies.The motor imagination of more float structures, wave float load parameter pair
The design of works dynamic positioning system, pacifies all with particularly important influence operation on the sea.
Wave floats load calculation method, and there are three types of include far field formula, midfield formula and near field formula.In terms of rate of convergence, far
Quickly, near field formula rate of convergence is very slow for field formula and midfield formula.In terms of function, far field formula can only forecast that multiple hull construction is whole
The wave of body horizontal direction floats load, and each monomer can not be forecast；Midfield formula and near field formula can but forecast six degree of freedom side
To entirety and monomer wave float load.In general, formula advantage in midfield is maximum, and function is complete and fast convergence rate.From integral
Said on formula, far field and midfield formula rate of convergence be fastly because relating only to velocity potential, and near field formula be related to velocity potential and
Its space derivation.The precision of space derivation decides the speed of convergence rate.Once resolving space derivation problem, near field formula
Application prospect will be greatly improved.
It includes constant value panel method and Higher-Order Panel Method that wave, which floats load value forecasting procedure,.Constant value panel method advantage is numerical value reality
It applies simple but the disadvantage is that low for velocity potential space derivation solving precision at unsmoothed surface；Higher-Order Panel Method just solves
The low disadvantage of space derivation precision；But Higher-Order Panel Method implements complexity, is more common in theoretical research, has no business application.
Summary of the invention
The purpose of the present invention is to provide one kind to establish hydrodynamics base for the design of more floating structures, operation research
The three-dimensional frequency domain value method of the more float structure object wave drift load of the forecast of plinth.
The object of the present invention is achieved like this:
Step 1, grid file is read, carries out ship hydrostatic calculation using gridding information；
Step 2, the influence coefficient matrix of Simple Green Function is calculated；
Step 3, the influence coefficient matrix of complicated frequency domain Green's function (with wave frequencies continuous item) is calculated；
Step 4, constituent parts radiation velocity gesture and diffraction velocity potential and its space are solved using Taylor expansion Element BEM
Derivative；
Step 5, each monomer hydrodynamic force coefficient of more float structures solves；
Step 6, more the motion equations solve；
Step 7, the wave force of whole, each monomer of more float structures and wave drift load solve；
Step 8, RAO is responded according to floating motion, carries out floating motion spectrum analysis in irregular wave and calculates.
The present invention provides a kind of three-dimensional numerical methods of more float structure object wave drift wave load analysis.Near field public affairs are improved with this
Formula application range designs for more floating structures, and hydrodynamics basis is established in operation research.
The present invention accurately solves radiation at unsmoothed surface and diffraction velocity potential using Taylor expansion Element BEM
Induced velocity.Improve the rate of convergence of wave drift load near field stress integral formula.It can be pre- using method proposed by the present invention
Report is capable of the hydrodynamic force coefficient of each monomer of the more float structures of Exact Forecast, moves RAO, wave force, the wave drift in six degree of freedom direction
Load and floating motion spectrum analysis result.
Detailed description of the invention
Fig. 1 is flow chart of the invention.
Specific embodiment
It illustrates below and the present invention is described in more detail.
1) grid file for reading each floating body in more floating structures automatically extracts ship waterline information (including head and the tail stationary point
Space coordinate, waterline matched curve function).And distinguish hull Wet surface grid and internal free surface grids.It is discrete based on hull
Grid, Ship ' displacement of volume, centre of buoyancy, the centre of floatation, the moment of inertia, the hydrostatic force parameter such as wetted surface area.Check hydrostatic force parameter number
It is worth the error of result and physics floating body parameter, ship mesh quality is examined with this.
2) present invention utilizes each velocity potential ingredient of Taylor expansion Solution of Boundary Element Method and its space single order, second dervative.Taylor
Expansion core concept is the method that the boundary integral equation formed based on Green's third formula carries out numerical discretization solution.For three
Dimension problem takes cell node coordinate equal for several quadrangles or triangular element for wetted surface of floating body is discrete on each unit
Centered on value, at face element midpoint, antithesis pole strength makees Taylor expansion and retains first derivative item, makees Taylor expansion to source strength and only protects
Stay first derivative item.And the tangential first derivative for introducing site carrys out Closure equation group, to constitute strong about dipole intensity, idol
First derivative be unknown number, source strength be known variables linear algebraic equation systems.The wherein influence of even strong tangential first derivative
Coefficient includes main value (being positive/negative half after normalization).What aforesaid operations method generated solves boundary using boundary element
The method of Integral Equation Solution is known as Taylor expansion Element BEM.Any face element i can be obtained single order simplified as follows
The discrete equation group of Taylor expansion Element BEM, i=1,2 ..., N,
Element expression in each matrix of above formula:
In formula: superscript i and j indicate bin number.An explanation is done by taking element expression a certain in matrix as an example: such as:
This method can simultaneously solving speed gesture and two mutually orthogonal tangential direction derivatives.Using object plane normal direction can not
Condition is penetrated, that is, constitutes the velocity field of local local coordinate system.Velocity field can be achieved under local coordinate and earth coordinates
Under conversion.Numerical result proves that this method can obviously improve the computational accuracy of the tangential induced velocity of Basin Boundary corner.
Introduce auxiliary functionThe space of φ is solved using Taylor expansion Element BEM again, i.e. velocity potential space second order is led
Number.Therefore this method is related to several influence coefficient matrixs calculating.
3) present invention solves radiation velocity gesture and diffraction velocity potential using frequency domain method.Radiation velocity gesture and diffraction velocity potential
Shown in Definite problem following formula, the initial boundary problems are solved using Taylor expansion boundary element method time stepping.Assuming that more float structures
It is made of floating body a and floating body b.
In formulaIndicate the unit radiation velocity gesture of each direction of motion, whereinIndicate floating body
A six degree of freedom unit radiation velocity gesture,Indicate floating body b six degree of freedom unit radiation velocity gesture,Indicate around
Penetrate velocity potential.
Green's third formula is used on the boundary of flow field, can be obtained using pulsation source wave making Green's function average in floating body
The flow field velocity gesture boundary integral equation indicated on wet structure.
Green's function G is the frequency domain complexity Green's function for meeting Linear-free noodles part, i.e.,rpqIndicate the distance between source point q (ξ, η, ζ) and site p (x, y, z).
r'pq'Indicate mirror point q'(ξ, η ,-ζ about the water surface of site and source point) between distance.H indicates the level between site and source point
Distance, J0For Bessel function of the first kind.N indicates that object plane normal direction, positive direction are directed toward outside basin.
The influence coefficient matrix of the Simple Green Function calculated in step 3 is G=1/rpq+1/r'pq'Influence coefficient.
The some effects coefficient can Analytical Integration, it is and unrelated with wave frequencies, it is only necessary to calculate primary.
There are irregular frequency phenomenon, the present invention to eliminate irregular frequency using extended boundary limit of integration method for frequency domain method
Phenomenon.The free surface discretization grid i.e. inside floating body, each discrete face element center, which meets normal direction, to penetrate condition:
Therefore boundary integral equation extension are as follows:
4) residual term is related to wave frequencies in frequency domain complexity Green's function, and different wave frequencies integral results are different.By
In the partial integration excessively complexity can not Analytical Integration, calculate some effects coefficient using 4 Gauss methods in the present invention.
5) after having solved radiation velocity gesture, two important hydrodynamic force coefficients: additional mass and wave making damping system can be obtained
Number.For more floating structures, integral domain is respective wet structure when calculating hydrodynamic force coefficient on monomer.A pairs of floating body
The hydrodynamic force coefficient of itself:
Hydrodynamic force coefficient of the floating body b to floating body a:
In formula: Re and Im, which is respectively indicated, takes real part and imaginary-part operation.It is similar therewith for floating body b.
6) Bernoulli equation is utilized after obtaining perturbation velocity potential, and each discrete grid block central point of each wetted surface of floating body can be obtained
Fluid pressure caused by the incidence wave and diffracted wave at place can obtain the wave acted on each floating body after integrating to pressure near field stress
Unrestrained exciting force and torque.Assuming that the movement between two floating bodies is independent from each other without any link between two floating bodies.Each floating body has
Six-freedom degree, double floating body problems then have 12 freedom degrees.12 freedom degree linear movement equations are constructed, it is specific by taking floating body a as an example
The equation of motion is shown below:
7) it is completed when velocity potential and its space first derivative calculate, after the completion of each floating body six-freedom motion RAO is calculated, benefit
With near field stress integral formula, retain second order pressure loading item, is shown below and floats load expression formula as each floating body wave.
Floating body translation displacements in formula (8,9) are as follows: T=Re (ηTe-iωt), ηT=(η1,η2,η3) angular displacement be Ω=Re (ηRe-iωt), ηR=(η4,η5,η6).Total displacement is X=Re (χ e-iωt), χ=(χ1,χ2,χ3)=ηT+ηR×r.Wherein corrugated increases
Expression formula are as follows:AwpFor water plane area, ρ indicates fluid density, xfIt is Water Plane Longitudinal Center Of Flotation coordinate.r
For position vector.Wl is the waterline of floating body mean place, and subscript * indicates conjugate function.The wave drift load of each floating body is cumulative i.e.
The wave drift load of more float structure entirety can be obtained.
9) it after obtaining each floating body six-freedom motion RAO and wave drift load RAO, can be obtained using spectral analysis method at different levels
The statistical value of floating motion and wave drift load under sea situation.The two-parameter spectrum of ITTC is shown below:
Wherein, T1To compose the heart period；H1/3For ariyoshi wave height, ω is circular frequency, and S (ω) is wave spectrum density.Freely by six
Degree movement RAO value brings spectrum analysis formula into, just obtains motion amplitude of the ship in practical sea situation.
Claims (4)
1. a kind of three-dimensional frequency domain value method for forecasting more float structure object wave drift load, it is characterized in that:
Step 1, grid file is read, carries out ship hydrostatic calculation using gridding information；
Step 2, the influence coefficient matrix of Simple Green Function is calculated；
Step 3, the influence coefficient matrix of complicated frequency domain Green's function is calculated；
Step 4, constituent parts radiation velocity gesture and diffraction velocity potential and its space derivation are solved using Taylor expansion Element BEM；
Step 5, each monomer hydrodynamic force coefficient of more float structures solves；
Step 6, more the motion equations solve；
Step 7, the wave force of whole, each monomer of more float structures and wave drift load solve；
Step 8, RAO is responded according to floating motion, carries out floating motion spectrum analysis in irregular wave and calculates.
2. the three-dimensional frequency domain value method of the more float structure object wave drift load of forecast according to claim 1, it is characterized in that:
The reading grid file includes reading the grid file of each floating body in more floating structures, automatically extracting ship waterline information,
The ship waterline information includes head and the tail stationary point space coordinate, waterline matched curve function；It is described to carry out ship using gridding information
Oceangoing ship hydrostatic calculation specifically includes: distinguishing hull Wet surface grid and internal free surface grids, is based on hull discrete grid block, calculates
Ship hydrostatic force parameter, checks the error of hydrostatic force parameter numerical result and physics floating body parameter, and the hydrostatic force parameter includes
Displacement of volume, centre of buoyancy, the centre of floatation, the moment of inertia, wetted surface area.
3. the three-dimensional frequency domain value method of the more float structure object wave drift load of forecast according to claim 1, it is characterized in that
The influence coefficient matrix for calculating Simple Green Function specifically includes: wetted surface of floating body is discrete for several quadrangles or triangle
Shape unit, on each unit, centered on taking cell node coordinate mean value, at face element midpoint, antithesis pole strength makees Taylor expansion simultaneously
Retain first derivative item, Taylor expansion is made to source strength and only retains first derivative item；The tangential first derivative of site is introduced to close
Equation group, constituting about dipole intensity, even strong first derivative is unknown number, and source strength is the linear algebraic equation of known variables
Group.
4. the three-dimensional frequency domain value method of the more float structure object wave drift load of forecast according to claim 1, it is characterized in that
During the influence coefficient matrix for calculating complicated frequency domain Green's function, eliminated using extended boundary limit of integration method irregular
Frequency phenomena, i.e., the free surface discretization grid inside floating body.
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| CN110532685A (en) * | 2019-08-29 | 2019-12-03 | 山东交通学院 | Floating structure sways motor imagination forecasting procedure |
| CN111639394A (en) * | 2020-05-20 | 2020-09-08 | 中国船舶科学研究中心 | Method for dynamically processing waterline in water elasticity analysis |
| CN112257177A (en) * | 2020-10-20 | 2021-01-22 | 中国船舶科学研究中心 | Boundary condition setting method for processing irregular frequency in ship hydrodynamic calculation |
| CN113111603A (en) * | 2021-04-07 | 2021-07-13 | 哈尔滨工程大学 | Double-floating-body platform wave excitation force and motion response forecasting method |
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| CN113704965A (en) * | 2021-07-22 | 2021-11-26 | 中国海洋大学 | Dynamic simulation analysis method for floating-support installation load transfer process |
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| CN110532685A (en) * | 2019-08-29 | 2019-12-03 | 山东交通学院 | Floating structure sways motor imagination forecasting procedure |
| CN110532685B (en) * | 2019-08-29 | 2023-02-07 | 山东交通学院 | Response forecasting method for floating structure swaying motion |
| CN111639394A (en) * | 2020-05-20 | 2020-09-08 | 中国船舶科学研究中心 | Method for dynamically processing waterline in water elasticity analysis |
| CN111639394B (en) * | 2020-05-20 | 2023-04-07 | 中国船舶科学研究中心 | Method for dynamically processing waterline in water elasticity analysis |
| CN112257177A (en) * | 2020-10-20 | 2021-01-22 | 中国船舶科学研究中心 | Boundary condition setting method for processing irregular frequency in ship hydrodynamic calculation |
| CN112257177B (en) * | 2020-10-20 | 2023-05-23 | 中国船舶科学研究中心 | Boundary condition setting method for processing irregular frequency in ship hydrodynamic force calculation |
| CN113111603A (en) * | 2021-04-07 | 2021-07-13 | 哈尔滨工程大学 | Double-floating-body platform wave excitation force and motion response forecasting method |
| CN113111603B (en) * | 2021-04-07 | 2022-07-15 | 哈尔滨工程大学 | Double-floating-body platform wave excitation force and motion response forecasting method |
| CN113127797A (en) * | 2021-04-30 | 2021-07-16 | 华南理工大学 | Hydrodynamic semi-analytic algorithm for wave energy floating body with irregular bottom shape heaving |
| CN113704965A (en) * | 2021-07-22 | 2021-11-26 | 中国海洋大学 | Dynamic simulation analysis method for floating-support installation load transfer process |
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