KR20140104832A - Method for analysis of wave - Google Patents

Method for analysis of wave Download PDF

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KR20140104832A
KR20140104832A KR1020130018811A KR20130018811A KR20140104832A KR 20140104832 A KR20140104832 A KR 20140104832A KR 1020130018811 A KR1020130018811 A KR 1020130018811A KR 20130018811 A KR20130018811 A KR 20130018811A KR 20140104832 A KR20140104832 A KR 20140104832A
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wave
boundary
analyzing
submerged
fluid region
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KR1020130018811A
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Korean (ko)
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김남형
우수민
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제주대학교 산학협력단
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01C—MEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C13/00—Surveying specially adapted to open water, e.g. sea, lake, river or canal
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01D—MEASURING NOT SPECIALLY ADAPTED FOR A SPECIFIC VARIABLE; ARRANGEMENTS FOR MEASURING TWO OR MORE VARIABLES NOT COVERED IN A SINGLE OTHER SUBCLASS; TARIFF METERING APPARATUS; MEASURING OR TESTING NOT OTHERWISE PROVIDED FOR
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Abstract

The present invention relates to a method for analyzing the characteristics of waves. The method for analyzing the characteristics of waves comprises a step of setting fluid sections for the characteristic analysis of waves; a step of dividing each boundary of the fluid sections into multiple microelements using multiple nodal points; and a step of analyzing the characteristics of the waves obliquely introduced into a submerged dike at each nodal point by applying a boundary element analysis method in which a wave pressure function is an unknown value. The analysis step comprises a step of analyzing the boundary conditions of a first boundary formed by a penetration seabed layer among the boundaries of the fluid sections based on the inherent water permeability coefficient and the pore water pressure of the penetration seabed layer when the submerged dike is installed in the penetration seabed layer.

Description

{Method for analysis of wave}

The present invention relates to a wave characteristic analysis method, and more particularly, to a wave characteristic analysis method by analyzing a boundary element of a wave incident on a slope into a permeable submergence.

With the recent increase in marine development and utilization, the development of a waterfront is required.

Conventional sofas such as breakwaters are constructed on the surface of the water to block the flow of seawater, which negatively affects the marine environment and landscape.

Submerged Breakwater (Submerged Breakwater), which is one of the sofa structures, has no effect on the surrounding landscape and can be constructed on the soft ground without improvement of the ground. And an improvement effect can be obtained. It also plays a role in preventing coastal erosion.

For coastal structures, it is important to predict the effect of coastal structures. Therefore, theoretical or experimental studies were carried out at various angles to interpret the hydraulic characteristics of the submerged rocks.

On the other hand, the existing analysis methods for the submerged need to satisfy the continuous condition of the fluid motion in the boundary region in the velocity potential, and the processing method thereof is somewhat complicated.

Garrison, C.J. (1969) On the interception of an infinite shallow draft cylinder oscillating at the free surface with a train of oblique waves. J. of Fluid Mech., Vol. 39, Part 2, PP. 227-255.

Disclosure of Invention Technical Problem [8] The present invention provides a method of analyzing a wave characteristic through a boundary element analysis of a wave incident on a slope into a permeable submerged body installed in a seabed infiltration layer.

A method for analyzing a wave characteristic of a wave characteristic analyzing system according to an embodiment of the present invention includes the steps of setting a fluid region for analyzing wave characteristics, dividing each boundary of the fluid region into a plurality of microelements And analyzing a characteristic of wave incident on a slope at each node by applying a boundary element analysis technique using an unknown wave pressure function as an unknown amount, And interpreting the boundary condition for the first boundary by the seabed infiltration layer among the boundaries of the fluid region based on the intrinsic permeability coefficient and the pore water pressure of the submerged infiltration layer when installed in the infiltration layer.

The wave characteristics analysis method disclosed in this document analyzes the effect of the permeable submerged structure installed in the submarine infiltration layer on the wave incident on the ramp using the boundary element method using the wave pressure function as the unknown, It is possible to analyze the wave problem including the energy dissipation without considering the continuous condition of the analysis method, thereby reducing the complexity of the analysis method. In addition, it is possible to efficiently design a submerged structure having economic and superior performance by applying the results of analysis to the position of the submerged structure, the shape, the width, and the height of the submerged structure.

1 is a structural diagram illustrating a wave characteristic analysis system according to an embodiment of the present invention.
FIG. 2 illustrates an example of a permeable submerged structure to be analyzed in a wave characteristic analysis system according to an embodiment of the present invention.
FIG. 3 illustrates an example of a fluid region to be analyzed in a wave characteristic analysis system according to an embodiment of the present invention.
4 is a flowchart illustrating a method of analyzing a wave characteristic of a wave characteristic analyzing system according to an embodiment of the present invention.
FIGS. 5 and 6 are graphs showing changes in reflectance according to changes in dimensionless wavelengths of the rectangular and trapezoidal submerged structures. FIG.
FIG. 7 is a graph showing a change in reflectance according to a change in dimensionless wavelength with respect to a trench structure. FIG.
Figure 8 is a graph showing the results of attenuation of waves above the seabed infiltration layer.
FIG. 9 is a graph showing the reflectance of the transmission submerged by the oblique incident angle on the seepage impregnation layer.
Fig. 10 is a graph showing the reflectance of a transmission submerged by an oblique incident angle on the seabed infiltration layer.

The present invention is capable of various modifications and various embodiments, and specific embodiments are illustrated and described in the drawings. It should be understood, however, that the invention is not intended to be limited to the particular embodiments, but includes all modifications, equivalents, and alternatives falling within the spirit and scope of the invention.

The terms including ordinal, such as second, first, etc., may be used to describe various elements, but the elements are not limited to these terms. The terms are used only for the purpose of distinguishing one component from another. For example, without departing from the scope of the present invention, the second component may be referred to as a first component, and similarly, the first component may also be referred to as a second component. And / or < / RTI > includes any combination of a plurality of related listed items or any of a plurality of related listed items.

In addition, the suffix "module" and " part "for constituent elements used in the following description are given or mixed in consideration of ease of specification, and do not have their own meaning or role.

It is to be understood that when an element is referred to as being "connected" or "connected" to another element, it may be directly connected or connected to the other element, . On the other hand, when an element is referred to as being "directly connected" or "directly connected" to another element, it should be understood that there are no other elements in between.

The terminology used in this application is used only to describe a specific embodiment and is not intended to limit the invention. The singular expressions include plural expressions unless the context clearly dictates otherwise. In the present application, the terms "comprises" or "having" and the like are used to specify that there is a feature, a number, a step, an operation, an element, a component or a combination thereof described in the specification, But do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, or combinations thereof.

Unless defined otherwise, all terms used herein, including technical or scientific terms, have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. Terms such as those defined in commonly used dictionaries are to be interpreted as having a meaning consistent with the contextual meaning of the related art and are to be interpreted as either ideal or overly formal in the sense of the present application Do not.

Hereinafter, embodiments will be described in detail with reference to the accompanying drawings, wherein like or corresponding elements are denoted by the same reference numerals, and redundant description thereof will be omitted.

1 is a structural diagram illustrating a wave characteristic analysis system according to an embodiment of the present invention.

Referring to FIG. 1, the wave characteristic analysis system may include a fluid region setting module 10, a micro-element division module 20, a wave characteristic analysis module 30, and the like.

The fluid region setting module 10 includes a fluid region for analyzing the wave characteristics of a wave incident on a slope into a permeable submerged object, that is, Set the analysis area. The fluid region is set on the basis of the submerged structure. When the submerged structure is installed in the seabed infiltration layer, the boundary by the subsea penetration layer, the boundary by coastal free surface where the submerged structure is installed, and the virtual boundary which is set at a predetermined distance from the submerged structure Is defined.

The microelement division module 20 divides each boundary line of the fluid region set by the fluid region setting module 10 into a plurality of microelements using a plurality of nodes.

The wave characteristics analyzing module 30 analyzes the characteristic of the wave incident on the submerged structure at each node by applying a boundary element analysis technique using an unknown wave pressure function. Here, the characteristic of the wave includes reflectance by the submerged structure.

The wave characteristics analysis module 30 sets an unknown wave pressure function that can be analyzed for both the fluid region and the submerged structure region in order to analyze the reflectance of the wave caused by the submerged structure. In addition, the equation of motion of the wave is obtained by introducing the linear dissipation factor and the additive mass coefficient, and the reflectance of the wave is analyzed based on this equation.

On the other hand, in order to analyze the wave characteristics by using the boundary element analysis technique in which the wave pressure function is unknown, it is necessary to acquire the boundary condition for the fluid region to be analyzed.

Hereinafter, a method of acquiring a boundary condition for each boundary of a fluid region for a wave characteristic analysis equation will be described in detail with reference to Equations (1) to (13).

Fig. 2 shows an example of a permeable submerged structure, and Fig. 3 shows an example of a fluid region to be analyzed.

In this document, the case of analyzing the wave characteristics of the permeable submerged surface on the surface of the water h installed in the sea area will be described as an example. However, it is clear that the embodiment of the present invention is not limited to this. The technical features disclosed in this document can be applied to a permeable submerged membrane having other cross-sectional shapes such as trapezoidal rather than pure water.

2 and 3, a vertical direction is defined as an x- axis, a longitudinal direction is defined as a y- axis, and a vertical direction is defined as a z- axis. In addition, an incident wave of amplitude? 0 traveling in the left-to-right direction is incident at an angle of? With respect to the x axis of the submerged body.

Hereinafter, with reference to FIG. 2 and FIG. 3, a method of deriving a governing equation that governs the characteristics of the wave incident on the submerged body will be described with reference to Equations (1) to (9).

Assuming that the wave incident on the submerged membrane, that is, the fluid has incompressible, inviscid, and non-rotational motions, the velocity potential function of the fluid for boundary element analysis is

Figure pat00001
Can be expressed by the following equation (1). Here, the fluid represents the wave incident on the submerged.

Figure pat00002

Here, g is the gravitational acceleration,? 0 is the amplitude,

Figure pat00003
Is the frequency, and t is the time.
Figure pat00004
Will be described with reference to Equation (4) to be described later. According to Equation (1), the velocity potential function calculates the velocity potential in consideration of the vertical direction (x-axis) and the longitudinal direction (y-axis) as well as the vertical direction (z-axis). Accordingly, it is possible to obtain the velocity potential of the wave incident on the slope as well as the wave incident at right angles to the submerged breakwater.

The velocity potential function of the equation (1) satisfies the Laplace equation of the following equation (2).

Figure pat00005

Wave currents around the submerged structures generate standing waves and scattered waves. However, the virtual boundary S 3 _inp and By setting S 3 _out to a position sufficiently away from the structure, the influence of this destructive wave can be ignored. On the other hand, when the imaginary boundary is set too far from the submerged structure, the fluid region to be analyzed becomes elongated and elongated. Therefore, in one embodiment of the present invention, the distance from the tip of the submerged structure to the virtual boundary is set corresponding to two wavelengths. However, it is clear that the embodiment of the present invention is not limited to this.

On the other hand, the velocity potential at each boundary of the fluid region can be calculated by the following Equation (3).

Figure pat00006

Here, φ 3_inp and φ 3_out represent the velocity potential at the incident position where the wave enters and the transmission position where the transmitted wave passes out, α represents the amplitude, and g represents the gravitational acceleration. Also,

Figure pat00007
Is a wavenumber,
Figure pat00008
Satisfies the dispersion relation at each frequency.

The variation of the velocity potential in the y- axis direction in the fluid region

Figure pat00009
, The unknown function representing the fluctuation of the velocity potential in the xz plane can be expressed by
Figure pat00010
The velocity potential of the fluid motion in the fluid region
Figure pat00011
Can be expressed by the following equation (4).

Figure pat00012

Equation (4) should satisfy Equation (2), and substituting Equation (4) into Equation (2) yields an unknown potential function

Figure pat00013
Can be obtained as Equation (5): " (5) "

Figure pat00014

Assuming that the pressure in the fluid region is P and the density of the fluid is p, the equation of motion that results in energy dissipation can be expressed in Equation (6) for each fluid region.

Figure pat00015

Where ε is the porosity, u and v are the x and z mean velocities, respectively, and F x and F z are the energy dissipation (fluid resistance) components in the x and z directions for fluid motion. The energy dissipation term is generally nonlinear, except when the Reynolds number is very small, and fluid resistance acts as an added mass force when the fluid is accelerating. Here, the nonlinear energy dissipation term can be expressed by Equation (7) using an equivalent linear dissipation coefficient μ and an added mass coefficient C m .

Figure pat00016

If Equation (7) is substituted into Equation (6) and ignoring the transfer term of acceleration, a linearized equation of motion is obtained as shown in Equation (8) below.

Figure pat00017

By integrating the equation of motion of the fluid of Equation (8), Equation (6), which is the basic equation of fluid motion, can be expressed by Equation (9) using an unknown potential function.

Figure pat00018

Hereinafter, with reference to FIG. 2 and FIG. 3, a method of analyzing a boundary condition of a wave incident on a slope at a slant will be described with reference to Equations (10) to (17).

Referring to FIG. 2, the boundary S 1 of the fluid region is a free surface, the boundary S 2 of the fluid region is bounded by the seabed infiltration layer, and the boundary S 3 _inp of the fluid region S 3 _out represents the virtual boundary set in the analysis . The boundary condition for each boundary area can be expressed using the following equations (10) to (12).

Figure pat00019

Figure pat00020

Figure pat00021

In the above equation 11, K represents the specific permeability of the ocean floor penetration layer, P s represents the pore pressure. In Equation (11), the above equation represents a boundary condition considering only the seabed infiltration layer, and the following equation in Equation (11) is for interpreting the boundary condition considering the case where a submerged structure is installed on the seabed infiltration layer.

The sea floor is characterized by a porous medium. Therefore, numerical analysis of the boundary condition of the seam infiltration layer boundary region is possible by using the intrinsic permeability coefficient and the pore pressure of the submarine infiltration layer as in Equation (11).

The above Equation (11) can also be applied to the case where the bottom surface where the submerged structure is installed is not the penetration layer. In this case, the boundary of the fluid region becomes the bottom of the seabed and the inherent permeability coefficient can be set to zero. Accordingly, the right term of Equation (11) becomes zero.

Based on the boundary conditions of the respective boundary regions obtained using the above Equations (10) to (12), the dispersion relation for the infinite bottom surface can be expressed using the following Equation (13).

Figure pat00022

In the above Equation 13, v is equalized modulus, K is the specific permeability of the ocean floor penetration layer, k is the wave number, σ represents the angular frequency. A complex number k is calculated from the dispersion relation of the expression (13)

Figure pat00023
. The real part of k represents the actual wave number and is related to the wavelength. Further, the imaginary part of k determines the rate of reduction of the amplitude.

In the above equation (13)

Figure pat00024
Generally have very small values. For example, sand has a value of about 10 -6 to 10 -2 , and gravel has a value of about 10 -2 .

On the other hand, it is necessary to satisfy the continuous conditions of the fluid motion (mass flow rate and energy flux) at each interface of the fluid region as shown in the following equations (14) and (15).

Figure pat00025

Where H denotes the wave pressure function. In the case of the domain division method in which the existing velocity potential φ is analyzed as an unknown amount, it is necessary that φ in each region satisfies the above-described expression (14). Accordingly, the processing method is complicated for the problem that the fluid region and the permeable structure region coexist.

Accordingly, in one embodiment of the present invention to the paap function H of the equation (15) above considerations a continuous characteristic around the analysis region, and it sets the function H paap not the velocity potential as an unknown quantity.

Figure pat00027

here,

Figure pat00028
to be.

When the wave pressure function of Equation (16) is substituted into Equation (15), the following Equation (17) can be obtained.

Figure pat00029

here,

Figure pat00030
to be. When the wave pressure function H is set to an unknown amount, it is possible to analyze the wave pressure function without discriminating the regions by substituting ε and μ into the above-mentioned equation (17) for each boundary region.

4 is a flowchart illustrating a method of analyzing a wave characteristic of a wave characteristic analyzing system according to an embodiment of the present invention.

Referring to FIG. 4, the fluid region setting module 10 sets a fluid region for analyzing a wave characteristic of a wave incident on a slope in a submerged state (S101). The fluidic region is defined on the basis of the submerged structure and is defined by the boundary corresponding to the coastal free surface and submerged infiltration layer in which the submerged structure is installed and the virtual boundary set at a predetermined distance from the submerged structure for analysis.

The microelement division module 20 divides each boundary of the fluid region set by the fluid region setting module 10 into a plurality of microelements using a plurality of nodes (S102). 5, the boundary of the fluid region is divided into N micro-elements by N nodes.

The wave characteristics analyzing module 30 analyzes the characteristics of the wave incident on the inclined structure at each node by applying the velocity potential function of Equation 1 and the boundary element analysis technique that uses the wave pressure function as an unknown quantity (S103 ).

Hereinafter, the analysis results of the wave characteristic analysis method according to an embodiment of the present invention will be described in detail with reference to FIG. 5 to FIG.

FIGS. 5 and 6 are graphs showing changes in reflectance according to changes in dimensionless wavelengths with respect to a submerged structure and a trapezoidal submerged structure, respectively.

Figure 5

Figure pat00031
And a change in reflectance according to a change of a dimensionless wavelength with respect to a depth of a water when an incident wave having an incident angle of 0 degrees and 30 degrees is incident on a quadrangular submerged structure.

6,

Figure pat00032
And the incident angle of incidence angle θ is 0 ° and 30 ° with respect to the trapezoidal submerged structure.

5 and 6, the solid line shows the result of analyzing the wave characteristic using the conventional wave analysis method using the area division method, and the broken line indicates the wave analysis method according to the embodiment of the present invention The results are shown in Fig.

7,

Figure pat00033
And the reflectivity of the trench structure is changed according to the change of the dimensionless wavelength.

In FIG. 7, the solid line represents the result of analyzing the wave characteristics using a conventional analysis method of numerically analyzing by the eigenfunction expansion method, and the omnidirectional wave analysis method using the wave analysis method according to an embodiment of the present invention, The results are shown in Fig.

Referring to FIGS. 5 to 7, it can be seen that the analysis results of the wave characteristics analysis method using the conventional analysis method in consideration of the oblique incident wave and the wave characteristics analysis method according to the embodiment of the present invention are in agreement. Accordingly, it can be seen that the wave characteristic analysis method according to an embodiment of the present invention is a valid and effective method.

Figure 8 is a graph showing the results of attenuation of waves above the seabed infiltration layer.

The result of the attenuation of the wave above the seabed infiltration layer is obtained by the above equation (13). In FIG. 8, a solid line is a result of analyzing a damping effect of a wave using a conventional analysis method, and a dotted line is a result of analyzing a damping effect of a wave using a wave characteristic analysis method according to an embodiment of the present invention.

Referring to FIG. 8, it can be seen that the analysis results of the damping effect analysis using the conventional analysis method and the analysis method of the wave characteristics analysis method according to the embodiment of the present invention are in agreement. Accordingly, it can be seen that the wave characteristic analysis method according to an embodiment of the present invention is a valid and effective method.

9 is a graph showing the reflectance ( K r ) of a transmission submerged by an oblique incident angle on a seabed impermeable layer ( R = 0.0), wherein B / h = 1.0, d / h = 0.8 ,? = 0.5,

Figure pat00034
With respect to the reflectance due to the influence of the oblique incident angle [theta]
Figure pat00035
, B / h = 2.0, d / h = 0.8,? = 0.5,
Figure pat00036
With respect to the reflectance due to the influence of the oblique incident angle [theta]
Figure pat00037
(C) shows the results of calculation for B / h = 1.0, d / h = 0.7,? = 0.5,
Figure pat00038
With respect to the reflectance due to the influence of the oblique incident angle [theta]
Figure pat00039
Respectively, and Fig.

10 is a graph showing the reflectance ( K r ) of the transmission submerged by the oblique incident angle on the seabed infiltration layer ( R = 0.1), wherein FIG. 10A shows the reflectance of B / h = 1.0, d / ? = 0.5,

Figure pat00040
With respect to the reflectance due to the influence of the oblique incident angle [theta]
Figure pat00041
, B / h = 2.0, d / h = 0.8,? = 0.5,
Figure pat00042
With respect to the reflectance due to the influence of the oblique incident angle [theta]
Figure pat00043
(C) shows the results of calculation for B / h = 1.0, d / h = 0.7,? = 0.5,
Figure pat00044
With respect to the reflectance due to the influence of the oblique incident angle [theta]
Figure pat00045
Respectively, and Fig.

Referring to FIGS. 9 and 10, it can be seen that the higher the height of the submerged beam and the width of the submerged beam are, the more excellent the sofa ability is with respect to the wave incident on the incline.

Also, the reflectance tends to decrease as the incidence angle of the wave incident on the incline increases. Also, the maximum and minimum values of the reflectance are repetitively shown as the submerged width increases, and the maximum value of the reflectance is shown in the long period, and the interval between the maximum value and the minimum value is widened in the short period.

On the other hand, the reflectance peak value of the submerged layer installed on the penetration layer is higher than that of the submerged layer. Also, the reflectivity is highly dependent on the variation of the submerged height compared to the submerged width.

According to the embodiment of the present invention described above, it is necessary to consider the continuous condition of the fluid in each boundary region by analyzing the effect of the submerged shape on the oblique incident wave using the boundary element method using the wave pressure function as an unknown amount It is possible to analyze the wave problem including the energy dissipation without reducing the complexity of the analysis method. In addition, it is possible to efficiently design a submerged structure having economic and superior performance by applying the results of analysis to the position of the submerged structure, the shape, the width, and the height of the submerged structure.

As used in this embodiment, the term " portion " refers to a hardware component such as software or an FPGA (field-programmable gate array) or ASIC, and 'part' performs certain roles. However, 'part' is not meant to be limited to software or hardware. &Quot; to " may be configured to reside on an addressable storage medium and may be configured to play one or more processors. Thus, by way of example, 'parts' may refer to components such as software components, object-oriented software components, class components and task components, and processes, functions, , Subroutines, segments of program code, drivers, firmware, microcode, circuitry, data, databases, data structures, tables, arrays, and variables. The functions provided in the components and components may be further combined with a smaller number of components and components or further components and components. In addition, the components and components may be implemented to play back one or more CPUs in a device or a secure multimedia card.

It will be apparent to those skilled in the art that various modifications and variations can be made in the present invention without departing from the spirit or scope of the present invention as defined by the following claims It can be understood that

Claims (6)

A method for analyzing a wave characteristic of a wave characteristic analyzing system,
Setting a fluid region for analyzing the wave characteristic,
Dividing each boundary of the fluid region into a plurality of microelements using a plurality of nodes, and
And analyzing the characteristic of the wave incident on the slope into the submerged structure with respect to each node by applying a boundary element analysis technique using the wave pressure function as an unknown amount,
Wherein the analyzing comprises:
Analyzing a boundary condition for the first boundary by the seabed infiltrant layer among the boundaries of the fluid region based on the intrinsic permeability coefficient and the pore water pressure of the submerged permeation layer when the submerged structure is installed in the seabed infiltration layer Including a method for analyzing a blue characteristic. The method according to claim 1,
Wherein the analyzing comprises:
Determining the wave pressure function as an unknown quantity and analyzing the wave pressure function by substituting a porosity and a linear dissipation factor for each boundary of the fluid region. The method according to claim 1,
Wherein the fluid region is set on the basis of the submerged structure and includes a first boundary, a second boundary due to a coastal free surface on which the submergence structure is installed, and a third boundary, Method for analyzing wave characteristics including boundaries. The method of claim 3,
The boundary condition for the first boundary is
Figure pat00046
And
Figure pat00047
Lt;
Where H is the wave pressure function, K is the intrinsic permeability coefficient, P s is the pore water pressure, φ 1 is the velocity potential function,
Figure pat00048
ego,
G is the gravitational acceleration,? Is the frequency of the incident wave, t is the time,? Is the linear dissipation factor, and V is
Figure pat00049
Lt; / RTI >
Where ε is the porosity, and C m is the additive mass coefficient. 5. The method of claim 4,
The dispersion relation of the bottom surface on which the submerged structure is installed
Figure pat00050
ego,
Wherein v is a kinematic number, k is a wavenumber, the sigma is an angular frequency, and h is a depth of a watershed of the submerged structure. A recording medium on which a program for executing the method according to any one of claims 1 to 5 is recorded.
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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
KR20160068320A (en) 2014-12-05 2016-06-15 주식회사 네오텍 Wave information estimation method using a radar image
KR101658055B1 (en) * 2015-04-01 2016-09-20 (주)제이피엠 Method for analyzing wave considering seabed and Method for analyzing multi-layered soil using it
CN111027130A (en) * 2020-01-02 2020-04-17 天津城建大学 Ecological submerged dike with sea tangle wave dissipation function, design method and design system

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
KR20160068320A (en) 2014-12-05 2016-06-15 주식회사 네오텍 Wave information estimation method using a radar image
KR101658055B1 (en) * 2015-04-01 2016-09-20 (주)제이피엠 Method for analyzing wave considering seabed and Method for analyzing multi-layered soil using it
CN111027130A (en) * 2020-01-02 2020-04-17 天津城建大学 Ecological submerged dike with sea tangle wave dissipation function, design method and design system

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