Welcome to Scholar Publishing Group

Frontiers in Ocean Engineering, 2022, 3(4); doi: 10.38007/FOE.2022.030401.

Hydrodynamic Numerical Calculation Method of Small-scale Objects in Ocean Engineering Based on Immersion Boundary Method

Author(s)

Shanshan Su

Corresponding Author:
Shanshan Su
Affiliation(s)

Wuhan Donghu University, Wuhan, China

Abstract

Isolated piles, jacket platforms, submarine pipelines, etc. are ubiquitous structures in marine engineering. When the ratio of the lateral dimension D to the wavelength L of the part surrounded by waves is less than 0.2, it is generally called a small-scale structure. Current and waves are the two most important external loads in ocean engineering. The interaction between current and waves and small-scale structures in ocean engineering has always been the focus of research, and it is also one of the main problems that have not been well resolved in ocean engineering. In this paper, under the premise of considering the viscosity, turbulence and free surface flow of the fluid, the hydrodynamic problems related to small-scale objects in marine engineering are selected as the research content, and the numerical calculation model combining the immersion boundary method and the fluid volume method is selected for numerical calculation. The numerical expressions, solution steps and method verifications of the immersion boundary method and the fluid volume method are given respectively. A numerical calculation method by directly solving the external force source term in the immersion boundary method is proposed. The advantages, disadvantages and calculation steps of two different processing methods of applied force source terms in the immersion boundary method, continuous force method and discrete force method, are given. Instead of solving the force source term by means of interpolation and extrapolation, this paper adopts the discrete force method and the immersion boundary method for numerical calculation. Bounds method for numerical calculation. The realization process of establishing the numerical model of the immersion boundary method is given in detail. The finite difference method is used to discretize the governing equations and the semi-implicit two-step projection method is used to solve the NS equation. Finally, the numerical model of the immersion boundary method is given. Numerical realization process. The numerical model established in this paper is verified by the classical examples of numerical calculation of flow around a fixed cylinder and a flow around a rotating cylinder under laminar flow conditions, and the numerical calculation results are compared with the experimental and numerical results of others. The established numerical calculation model is correct and feasible. Experiments show that this model can well generate first-order Stokes linear waves. When a=0.25, according to the method proposed in this paper, the lift can be reduced to 75%-80%; when a=0.5, the lift can be reduced to 60%; when a=0.75, the lift amplitude can be suppressed to 50% or less.

Keywords

Intrusion Boundary Method, Ocean Engineering, Small Scale Objects, Hydrodynamic Numerical

Cite This Paper

Shanshan Su. Hydrodynamic Numerical Calculation Method of Small-scale Objects in Ocean Engineering Based on Immersion Boundary Method. Frontiers in Ocean Engineering (2022), Vol. 3, Issue 4: 1-9. https://doi.org/10.38007/FOE.2022.030401.

References

[1] Tolstykh A I , Shirobokov D A . Excitation and Development of Instability in a Compressible Boundary Layer as Obtained in High-Order Accurate Numerical Simulation without Introducing Artificial Perturbations. Computational Mathematics and Mathematical Physics, 2022, 62(7):1180-1192. https://doi.org/10.1134/S0965542522070090

[2] FelipePamplonaMariano • LeonardodeQueirozMoreira• AndreiaAoyaguiNascimento•-AristeuSilveiraNeto. an improved immersed boundary method by coup1ing of the mu1ti direct forcing and fourier pseudo spectra1 methods. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2022, 44(9):1-23. https://doi.org/10.1007/s40430-022-03679-5

[3] Sawant V A , Patel J B , Joseph J , et al. An experimental and numerical comparative study on the uplift capacity of single granular pile anchor and rough pile in sand. International Journal of Geotechnical Engineering, 2022, 16(4):499-513. https://doi.org/10.1080/19386362.2021.1999077

[4] Betaieb E , Duchêne, Laurent, Habraken A M . Calibration of kinematic hardening parameters on sheet metal with a Computer Numerical Control machine. International Journal of Material Forming, 2022, 15(5):1-17. https://doi.org/10.1007/s12289-022-01714-3

[5] Shi L , Zhuang M ,  Zhou Y , et al. Domain decomposition based on the spectral element method for frequency-domain computational elastodynamics. Science China Earth Sciences, 2021, 64(3):388-403. https://doi.org/10.1007/s11430-020-9696-4

[6] Sezen S , Atlar M . An alternative Vorticity based Adaptive Mesh Refinement (V-AMR) technique for tip vortex cavitation modelling of propellers using CFD methods. Ship Technology Research, 2022, 69(1):1-21. https://doi.org/10.1080/09377255.2021.1927590

[7] Zamani L , Sadjadi S , Ashouri F , et al. Carbamazepine removal from aqueous solution by synthesized reduced graphene oxide-nano zero valent iron (Fe0-rGO) composite: theory, process optimization, and coexisting drugs effects.. Water science and technology : a journal of the International Association on Water Pollution Research, 2021, 84(9):2557-2577. https://doi.org/10.2166/wst.2021.457

[8] Xu Y , Shen G , Zhang Y , et al. Forming numerical analysis and experiment research on hot rolling of straight face gear. The International Journal of Advanced Manufacturing Technology, 2022, 121(11-12):8299-8311. https://doi.org/10.1007/s00170-022-09787-9

[9] Odinokov V I , Evstigneev A I , Dmitriev E A , et al. Mathematical Simulation of CCM Mold Filling with Liquid Metal during Its Feeding from Rotary Submerged Nozzle. Steel in Translation, 2022, 52(2):179-186. https://doi.org/10.3103/S0967091222020164

[10] Meraou M A , Al-Kandari N M , Raqab M Z . Univariate and Bivariate Compound Models Based on Random Sum of Variates with Application to the Insurance Losses Data. Journal of Statistical Theory and Practice, 2022, 16(4):1-30. https://doi.org/10.1007/s42519-022-00282-8

[11] Mcnett M , Tucker S , Zadvinskis I , et al. A Qualitative Force Field Analysis of Facilitators and Barriers to Evidence-Based Practice in Healthcare Using an Implementation Framework. Global Implementation Research and Applications, 2022, 2(3):195-208. https://doi.org/10.1007/s43477-022-00051-6

[12] Plotkin E R , Kontorovich T S . Analysis of the Thermal Stress Concentration Coefficients in Tee Joints. Thermal Engineering, 2022, 69(8):632-635. https://doi.org/10.1134/S0040601522080067

[13] Li M , Cao T , Su C , et al. Geometrical error correction based on sensitivity equations for accurate specular surface measurement with deflectometry. Journal of Modern Optics, 2022, 69(10):554-565. https://doi.org/10.1080/09500340.2022.2067359

[14] Cho W , Park J , Moon J , et al. Effects of topography and sea surface temperature anomalies on heavy rainfall induced by Typhoon Chaba in 2016. Geoscience Letters, 2022, 9(1):1-18. https://doi.org/10.1186/s40562-022-00230-1

[15] Okuda S , Sato K , Hiraiwa T . Continuum modeling of non-conservative fluid membrane for simulating long-term cell dynamics. The European Physical Journal E, 2022, 45(8):1-14. https://doi.org/10.1140/epje/s10189-022-00223-0

[16] Jiang J , Huang Z , Gong R , et al. Time-varying Numerical Simulation Of Reservoir Physical Properties Based On Surface Flux. Journal of Physics: Conference Series, 2021, 1894(1):012077 (6pp). https://doi.org/10.1088/1742-6596/1894/1/012077

[17] Sarkar A , Bora S N . Hydrodynamic force and wave run-up due to diffraction of ocean water waves by a surface-piercing bottom-mounted compound partial-porous cylinder. Fluid Dynamics Research, 2021, 53(1):015508 (19pp). https://doi.org/10.1088/1873-7005/abdb3d

[18] Jeon Y , Park J , Jeon K . A Numerical Study on the Characteristics of the Supercavitation and Hydrodynamic Forces Generated in a Supercavitating Underwater Vehicle with Angle of Attack. Journal of the Society of Naval Architects of Korea, 2021, 58(4):214-224. https://doi.org/10.3744/SNAK.2021.58.4.214