CN110096792B - Dynamic simulation method for calculating unsteady Langmuir circulation - Google Patents
Dynamic simulation method for calculating unsteady Langmuir circulation Download PDFInfo
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Abstract
The invention discloses a dynamic simulation method for calculating unsteady Langmuir circulation, which comprises the following steps: (1) Calculating a wave field in a certain time range by adopting an offshore wave mode, and outputting wave parameters; (2) Inputting the obtained wave parameters into a Stokes drift velocity calculation model, and calculating to obtain a Stokes drift velocity; (3) Improving the Princeton ocean mode to enable the Princeton ocean mode to comprise a parameterization calculation method of unsteady Langmuir circulation; (4) And inputting the obtained stokes drift velocity into the improved Princeton ocean mode, and simulating an ocean dynamic process containing the unsteady Langmuir circulation in real time to obtain an ocean temperature, salinity and flow velocity field influenced by the unsteady Langmuir circulation physical process. The invention adds the effect of unsteady Langmuir circulation into the turbulence kinetic energy parameterization calculation method of the ocean circulation model, can dynamically simulate the influence of unsteady Langmuir circulation on ocean elements, can perfect the physical process of an ocean numerical mode, and can obtain a more accurate ocean forecast model.
Description
Technical Field
The invention relates to a dynamic real-time simulation technology of a physical ocean model, in particular to a dynamic simulation method for calculating unsteady Langmuir circulation.
Background
Langmuir circulation, which refers to a pair of anti-symmetric rotating vortices that occur in the upper ocean with an axis parallel to the wind direction, is one of the primary manifestations of wave-stream interaction. Due to the unusual nature of the sea surface wind field, the unsteadiness of the sea surface wind stress is induced, and further, a vortex perpendicular to the sea surface is formed. And as wind blows sea waves, the sea waves generate stokes drift, and vortex vertical to the sea surface gradually moves to the horizontal direction under the influence of the stokes drift, so that Langmuir circulation is finally formed. The existence of the Langmuir circulation enables the vertical shear instability of the upper ocean to be enhanced, the Langmuir circulation directly contributes to turbulent kinetic energy, the upper turbulent effect is enhanced, the Langmuir circulation enables the vertical convection velocity to be increased, the effect of 'entrainment' is achieved, heat, momentum and substances of the upper layer are brought to a deeper position, the upper ocean mixing layer is deepened, and therefore the Langmuir circulation plays an important role in the power and thermal processes of the upper ocean, and the Langmuir circulation has important significance and practical application value for the ocean ecological environment and the ocean climate.
The intensity of the Langmuir circulation is mainly influenced by the size of sea surface wind power and waves, so that the existing Langmuir circulation parameterization calculation methods which do not consider the sea condition space-time variation characteristics are inaccurate, are not consistent with the actual Langmuir circulation phenomenon in the sea, and cannot reflect the dynamic influence of the Langmuir circulation on the marine hydrological factors.
Disclosure of Invention
The invention aims to overcome the defects in the prior art, provides a dynamic simulation method for calculating the unsteady langmuir circulation, adds the action of the unsteady langmuir circulation into the turbulence kinetic energy parameterization calculation method of the ocean circulation model, and perfects the physical mechanism of the ocean circulation model.
The technical scheme adopted by the invention is as follows: a dynamic simulation method for calculating unsteady Langmuir circulating current comprises the following steps:
step 1, calculating a wave field within a certain time range by adopting an offshore wave mode, and outputting wave parameters;
step 2, inputting the wave parameters obtained in the step 1 into a Stokes drift velocity calculation model, and calculating to obtain a Stokes drift velocity;
step 3, improving the Princeton ocean mode to enable the Princeton ocean mode to comprise a parameterization calculation method of unsteady Langmuir circulation;
and 4, inputting the stokes drift velocity obtained in the step 2 into the Princeton ocean mode improved in the step 3, simulating an ocean dynamic process containing unsteady Langmuir circulation in real time, obtaining an ocean temperature, salinity and flow velocity field containing influences of unsteady Langmuir circulation physical process, and analyzing influences of the Langmuir circulation on ocean substances and an ocean power process.
Further, in step 1, the wave parameters include: effective wave height, wavelength, wave mean period and wave direction.
Further, in step 2, the Stokes drift velocity calculation model is:
in the formula of U s Is the east component of the stokes drift velocity, V, at a depth z meters below the sea surface s Is the north component of the stokes drift velocity at a depth of z meters below the sea surface; i U s (0) I is the stokes drift velocity of the sea surface; z is a vertical coordinate; θ is the wave direction; d S Is stokes depth of influence; w is a n Is the wave number; h s Is the effective wave height; t is the wave mean period; l is a wavelength; h s T, L and theta are obtained by the offshore wave mode output in the step 1.
Further, in step 3, the improved primeton ocean model is obtained by adding a Langmuir turbulence effect to the Mellor-yamada2.5 order turbulence closed model in the primeton ocean model.
Wherein the improved Mellor-Yamada2.5 order turbulence closed model is as follows:
K MS ＝qlS MS (9)
wherein q is turbulent kinetic energy; l is the turbulent mixing length; u is the east component of the flow velocity and V is the north component of the flow velocity; u shape s Is the east component of the stokes drift velocity, V, at a depth z meters below the sea surface s Is the north component, U, of the stokes drift velocity at a depth of z meters below the sea surface s And V s Calculating by the Stokes drift velocity calculation model in the step 2; x and y are horizontal coordinates, x represents the east direction and y represents the north direction; t is a time variable; k is a generalized vertical coordinate; s k Is the thickness of the k-th aqueous layer; ω is the vertical flow rate; k H Is the vertical temperature mixing coefficient, K q Is the vertical turbulence kinetic energy mixing coefficient;
is the density after adiabatic decay rate correction;
is a face-wall approximation function; f q Is a horizontal diffusion term of the length of the turbulent kinetic energy, F l A horizontal diffusion term that is the turbulent mixing length; e 1 ，E 3 ，B 1 ，E 6 ，A 1 And A 2 Is a constant term; g is the acceleration of gravity; ρ is a unit of a gradient 0 Is the seawater density; />
Is the east component of the vertical reynolds stress, which is calculated by the formula (7); />
The north component of the vertical turbulent Reynolds stress is obtained by calculation according to a formula (8); k M Is the vertical turbulence mixing coefficient, and K MS Is the vertical turbulent mixing coefficient associated with Langmuir circulating currents; s MS Is a stability equation calculated from equation (10); g H ＝-l 2 q -2 N 2 N is the buoyancy frequency; f. of z s Is a surface function.
The beneficial effects of the invention are: the method can dynamically simulate the influence of unsteady Langmuir circulation on ocean elements, can perfect the physical process of an ocean numerical model, obtain a more accurate ocean forecasting model, has important significance for researching and analyzing substances, heat, momentum, energy exchange and numerous physical and biochemical processes in the ocean, has active guiding effects on constructing an ocean ecological environment and disaster forecasting model, realizing business ocean forecasting, providing ideas and methods for preventing and reducing disasters, providing theoretical and technical references for correctly knowing the ocean circulation and the climatic change mechanism, and laying a foundation for establishing an ocean-air coupling model.
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FIG. 1: the invention is a schematic diagram of a simulation process.
Detailed Description
In order to further understand the contents, features and effects of the present invention, the following embodiments are illustrated and described in detail with reference to the accompanying drawings:
a dynamic simulation method of calculating unsteady langmuir circulating currents, comprising:
1. near shore wave mode (SWAN): SWAN is a third-generation offshore sea wave numerical mode, adopts a balance equation based on the energy conservation principle, selects a fully-implicit finite difference format, is unconditionally stable, and enables a calculation space grid and a time step length to be unlimited. In each source and sink item of the balance equation, wind input, interaction of three-phase waves and four-phase waves, bottom friction, wave breaking and white wave dissipation are considered, and the method is widely applied to wave simulation under shallow water conditions. Wave parameters (effective wave height, wavelength, wave average period, wave direction and the like) required for calculating the stokes drift velocity can be output by using the SWAN mode.
Stokes drift velocity calculation model: a model for calculating the stokes drift velocity needs wave parameter data such as wave height, wave length, wave period, wave direction and the like as input, and is essentially a stokes drift velocity calculation equation.
The Stokes drift velocity calculation model is as follows:
in the formula of U s Is the east component of the stokes drift velocity, V, at a depth z meters below the sea surface s Is the north component of the stokes drift velocity at a depth of z meters below the sea surface; i U s (0) L is the stokes drift velocity at the sea surface; z is a vertical coordinate; θ is the wave direction; d S Is stokes depth of influence; w is a n Is the wave number; h s Is the effective wave height; t is the wave mean period; l is a wavelength; h s T, L and theta are all derived from the SWAN mode output.
3. Princeton marine mode (POM): the POM is an ocean numerical model based on a three-dimensional oblique pressure original equation, adopts a frog leaping finite difference format and an operator splitting technology, and is widely applied to the simulation of tidal current, wind-generated current, mixed layers and jumping layers, hot salt circulation, ocean circulation and transportation by scholars at home and abroad. The invention provides a method for improving a Mellor-Yamada2.5 order turbulence closed model in a POM mode, so that the Mellor-Yamada2.5 order turbulence closed model comprises a parameterization calculation method for calculating unsteady Langmuir circulation, and the method specifically comprises the following steps: adding Langmuir turbulence effect into the Mellor-Yamada2.5 order turbulence closed model to obtain an improved Mellor-Yamada2.5 order turbulence closed model, wherein the improved Mellor-Yamada2.5 order turbulence closed model is as follows:
K MS ＝qlS MS (9)
wherein q is turbulent kinetic energy; l is the turbulent mixing length; u is the east component of the flow velocity and V is the north component of the flow velocity; u shape s Below sea levelEast component of Stokes Drift velocity at z meters depth, V s Is the north component, U, of the stokes drift velocity at a depth of z meters below the sea surface s And V s Calculating by the Stokes drift velocity calculation model in the step 2; x and y are horizontal coordinates, x represents the east direction and y represents the north direction; t is a time variable; k is a generalized vertical coordinate; s k Is the thickness of the kth layer of water; ω is the vertical flow rate; k is H Is the vertical temperature mixing coefficient, K q Is the vertical turbulence kinetic energy mixing coefficient;
is the density after adiabatic decay rate correction;
is a face-wall approximation function; f q Is a horizontal diffusion term of the length of the turbulent kinetic energy, F l A horizontal diffusion term that is the turbulent mixing length; e 1 ，E 3 ，B 1 ，E 6 ，A 1 And A 2 Is a constant term, E 1 ＝E 3 ＝1.8，B 1 ＝16.6，E 6 ＝4E 1 ＝7.2，A 1 ＝0.92，A 2 =0.74; g is the acceleration of gravity; ρ is a unit of a gradient 0 Is the density of the seawater; />
Is the east component of the vertical reynolds stress, which is calculated by the formula (7); />
The north component of the vertical turbulent Reynolds stress is obtained by calculation according to a formula (8); k M Is the vertical turbulence mixing coefficient, and K MS Is the vertical turbulent mixing coefficient associated with Langmuir circulating currents; s MS Is a stability equation calculated from equation (10); g H ＝-l 2 q -2 N 2 N is the buoyancy frequency; f. of z s Is a surface function. />
The method calculates the wave field in a certain time range by using the SWAN mode, outputs wave parameters, and transmits the wave parameters to the Stokes drift velocity calculation model to calculate and obtain the Stokes drift velocity. And introducing an abnormal Langmuir loop current parameterization calculation method into the POM mode to obtain an improved POM mode. And finally, simulating the ocean dynamic process containing the unsteady Langmuir circulation in real time by using the obtained stokes drift velocity and adopting an improved POM (point of presence) mode to obtain an ocean temperature, salinity and flow velocity field containing the unsteady Langmuir circulation physical process influence for analyzing the influence of the Langmuir circulation on ocean substances and an ocean dynamic process.
As shown in fig. 1, the operation of the present invention is as follows:
(1) the method comprises the following steps And the SWAN mode starts to operate, calculates a wave field in a certain time period, outputs a wave parameter data file and stops operating.
(2) The method comprises the following steps And the Stokes drift velocity calculation model receives the wave parameter data file, starts to operate, calculates to obtain a Stokes drift velocity field, and stops operating after outputting the data file.
(3) The method comprises the following steps The POM mode is improved to include a parameterization calculation method of unsteady Langmuir circulation.
(4) The method comprises the following steps And after receiving the stokes drift velocity file, the improved POM mode starts to operate, simulates the ocean dynamic process containing the unsteady Langmuir circumfluence in real time, outputs an ocean hydrological element data (the ocean hydrological element data comprises ocean temperature, salinity, flow velocity field and the like) file, and then stops operating.
When the POM operation is finished, the influence of the Langmuir circulation on the ocean circulation process is reflected by the output ocean hydrological element data. Compared with the method without considering the Langmuir circulation process or considering only the steady Langmuir circulation process, the method provided by the invention is more suitable for the physical process occurring in the actual ocean, embodies the dynamic influence of the Langmuir circulation on the ocean, can perfect the physical mechanism of an ocean numerical mode, obtains a more accurate ocean forecasting model, and has important significance for researching and analyzing substances, heat, momentum, energy exchange and numerous physical and biochemical processes in the ocean.
Although the preferred embodiments of the present invention have been described above with reference to the accompanying drawings, the present invention is not limited to the above-described embodiments, which are merely illustrative and not restrictive, and those skilled in the art can make many modifications without departing from the spirit and scope of the present invention as defined in the appended claims.
Claims (3)
1. A dynamic simulation method for calculating unsteady Langmuir circulating current is characterized by comprising the following steps:
step 1, calculating a wave field within a certain time range by adopting an offshore wave mode, and outputting wave parameters;
step 2, inputting the wave parameters obtained in the step 1 into a Stokes drift velocity calculation model, and calculating to obtain a Stokes drift velocity;
step 3, improving the Princeton ocean mode to enable the Princeton ocean mode to comprise a parametric calculation method of unsteady Langmuir circulation;
the improved Princeton ocean model is obtained by adding a Langmuir turbulence effect to a Mellor-Yamada2.5 order turbulence closed model in the Princeton ocean model, and the improved Mellor-Yamada2.5 order turbulence closed model is as follows:
K MS ＝qlS MS (9)
wherein q is turbulent kinetic energy; l is the turbulent mixing length; u is the east component of the flow velocity and V is the north component of the flow velocity; u shape s Is the east component of the stokes drift velocity, V, at a depth z meters below the sea surface s Is the north component, U, of the stokes drift velocity at a depth of z meters below the sea surface s And V s Calculating by the Stokes drift velocity calculation model in the step 2; x and y are horizontal coordinates, x represents the east direction and y represents the north direction; t is a time variable; k is a generalized vertical coordinate; s k Is the thickness of the k-th aqueous layer; ω is the vertical flow rate; k H Is the vertical temperature mixing coefficient, K q Is the vertical turbulence kinetic energy mixing coefficient;
is the density after adiabatic decay rate correction; />
Is a face-wall approximation function; f q Is a horizontal diffusion term of the length of the turbulent kinetic energy, F l A horizontal diffusion term that is the turbulent mixing length; e 1 ，E 3 ，B 1 ，E 6 ，A 1 And A 2 Is a constant term; g is the acceleration of gravity; rho 0 Is the seawater density; />
Is the east component of the vertical reynolds stress, which is calculated by the formula (7); />
The north component of the vertical turbulent Reynolds stress is obtained by calculation according to a formula (8); k M Is vertical turbulent mixingCoefficient, and K MS Is the vertical turbulent mixing coefficient associated with Langmuir circulating currents; s. the MS Is a stability equation calculated from equation (10); g H ＝-l 2 q -2 N 2 N is the buoyancy frequency; f. of z s Is a surface function;
and 4, inputting the stokes drift velocity obtained in the step 2 into the Princeton ocean mode improved in the step 3, simulating an ocean dynamic process containing unsteady Langmuir circulation in real time, obtaining an ocean temperature, salinity and flow velocity field containing unsteady Langmuir circulation physical process influence, and analyzing the influence of the Langmuir circulation on ocean substances and an ocean power process.
2. A dynamic simulation method for calculating unsteady Langmuir circulating currents as claimed in claim 1, wherein in step 1, said wave parameters comprise: effective wave height, wavelength, wave mean period and wave direction.
3. The dynamic simulation method for calculating a unsteady Langmuir circulating current according to claim 1, wherein in the step 2, the Stokes shift velocity calculation model is:
in the formula of U s Is the east component of the stokes drift velocity, V, at a depth z meters below the sea surface s Is the north component of the stokes drift velocity at a depth z meters below the sea surface; | U s (0) L is the stokes drift velocity at the sea surface; z is a vertical coordinate; θ is the wave direction; d S Is stokes depth of influence; w is a n Is the wave number; h s Is the effective wave height; t is the wave mean period; l is a wavelength; h s T, L and theta are all obtained by the near-shore wave mode output in the step 1.
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| CN115564150A (en) * | 2022-12-06 | 2023-01-03 | 中交天津港湾工程研究院有限公司 | Oil spill track prediction method based on stokes drift and tide mixing mechanism |
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