A Fast Target Forecasting Algorithm for Pressure Field Caused by Ship Sailing in Shallow Water with Regular Waves

doi:10.12382/bgxb.2024.0303

Abstract

Abstract:

Pressure field caused by ship sailing is an important information in the ocean battlefield. When a ship sails against waves, the pressure fluctuation caused by ship-wave interaction becomes the background interference of ship’s own hydrodynamic pressure field, which affects the accurate prediction and identification of ship target. Therefore, a fast algorithm for the target characterization of pressure field caused by ship sailing against regular waves in the shallow water is studied. The theoretical and numerical methods of pressure field suitable for regular waves environment and full speed of ship are established by using the wave source term method and moving pressure term method on the basis of shallow-water wave theory. Meanwhile, a fast and efficient numerical algorithm is developed, and an algorithmic program is compiled, which can simulate the regular waves in shallow water, the ship hydrodynamic pressure field in static water, and the temporal and spatial variation characteristics of pressure caused by ship sailing against waves. Based on the validation study, the characteristics of pressure field caused before and after a ship encounters with waves as well as the distribution characteristics of pressure at subcritical or supercritical speed are compared and analyzed, and the influence of waves interference on the temporal and spatial variation characteristics of pressure is revealed, which provides the theoretical basis and technical support for the prediction and identification of ship target under the disturbance of waves environment.

Key words: ship, wave environment, pressure field, fast forecasting algorithm, target characterization

CLC Number:

U661.33

DENG Hui, LI Peihao, YI Wenbin, XIA Weixue, MENG Qingchang. A Fast Target Forecasting Algorithm for Pressure Field Caused by Ship Sailing in Shallow Water with Regular Waves[J]. Acta Armamentarii, 2025, 46(5): 240303-.

Figures/Tables 20

Fig.1 Schematic diagram of ship sailing against waves

Table 1 Main particulars of ship model

参数	数值		参数	数值
L/m	1.0		d_s/m	0.0521
b/m	0.198		C_b	0.558

Fig.2 Pressure distribution of hull based on Eq.(11)

Fig.3 Schematic diagram of computation domain

Fig.4 Schematic diagram of numerical method

Table 2 Grid independence analysis

网格	Δx/m	Δy/m	Δt/s	网格数	$C p m i n$	$C p m i n$ 相对误差/%	L_p/m	L_p相对误差/%
1	0.10	0.10	0.0576	16281	-0.093	9.4	0.862	4.2
2	0.05	0.10	0.0288	32481	-0.092	8.2	0.862	4.2
3	0.05	0.05	0.0288	64561	-0.080	5.8	0.860	4.5

Table 2 Grid independence analysis

网格	Δx/m	Δy/m	Δt/s	网格数	$C p m i n$	$C p m i n$ 相对误差/%	L_p/m	L_p相对误差/%
1	0.10	0.10	0.0576	16281	-0.093	9.4	0.862	4.2
2	0.05	0.10	0.0288	32481	-0.092	8.2	0.862	4.2
3	0.05	0.05	0.0288	64561	-0.080	5.8	0.860	4.5

Fig.5 Comparisons of pressure fluctuation curves based on different grids(v=1.73m/s,Fh=1.24)

Fig.6 Three-dimensional pressure distribution caused by ship sailing in static water(h=0.2L)

Fig.7 Fluctuation curves of pressure caused by ship sailing in static water

Fig.8 Influence of damping boundary on generated waves for t=30s

Fig.9 Generated waves in different periods (t=20s)

Fig.10 Three-dimensional distribution of generated waves at different xw for t=15s

Fig.11 Diagram of ship sailing against waves

Table 3 Four typical cases

工况	h/L	v/(m·s^-1)	F_h	ζ/L	T $g / L$
1	0.2	1.16	0.83	0.0023	3.275
2	0.2	1.73	1.24	0.0023	3.275
3	0.3	1.36	0.79	0.0038	3.993
4	0.3	1.36	0.79	0.0075	5.054

Table 3 Four typical cases

工况	h/L	v/(m·s^-1)	F_h	ζ/L	T $g / L$
1	0.2	1.16	0.83	0.0023	3.275
2	0.2	1.73	1.24	0.0023	3.275
3	0.3	1.36	0.79	0.0038	3.993
4	0.3	1.36	0.79	0.0075	5.054

Fig.12 Cp~t curves at point A on the bottom

Fig.13 Two-dimensional distribution of pressure caused by ship sailing against waves

Fig.14 Fluctuation curves of pressure caused by ship sailing against waves at subcritical speed (Case 1)

Fig.15 Distribution of pressure caused by ship sailing against waves at different times (Case 1) (left: 2D, right: 3D)

Fig.16 Fluctuation curves of pressure caused by ship sailing against waves at supercritical speed (Case 2)

Fig.17 Distribution of pressure caused by ship sailing against waves at different times (Case 2)(left: 2D, right: 3D)

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