Abstract
This article describes the development of a three-dimensional (3D) multilayer hydrostatic model of tidal motions in the Ariake Sea and its application. The governing equations were derived from 3D Navier-Stokes equations and were solved using the fractional step method, which combines the finite difference method in the horizontal plane and the finite element method in the vertical plane. This study introduced a 3D, time-dependent, hydrostatic, tidal current model that can compute wetting and drying in tidal flats due to tidal motion. The 3D model was first tested against analytical solutions for three standard cases in a rectangular basin in order to investigate the performance of the model. Then, the model was applied to Saigo fishery port and the Ariake Sea. For standard cases, the numerical solutions were almost identical to the analytical solutions. Finally, the model results for Saigo port and the Ariake Sea show good agreement with the field observations.
Similar content being viewed by others
References
Heaps NS (1972) Estimation of density currents in the Liverpool Bay area of the Irish Sea. Geophys J R Astron Soc 30: 415–432
Davies AM (1983) Formulation of a linear three-dimensional hydrodynamic sea model using a Galerkin-eignfunction method. Int J Numer Methods Fluids 3:33–60
Oey L-Y, Mellor GL (1985) A three-dimensional simulation of the Hudson-Raritan Estuary, Part 1: Description of the model and model simulation. J Phys Oceanogr 15:1676–1692
Stephens CV (1986) A three-dimensional model for tides and salinity in the Bristol Channel. Cont Shelf Res 6:531–560
Shen YP (1987) On modeling three-dimensional estuarine and marine hydrodynamics. In: Nihoul JCJ, Jamart BM (eds) Three-dimensional models of marine and estuarine dynamics. Elsevier Oceanography Series, Amsterdam, pp 35–44
Casulli V, Cheng RT (1992) Semi-implicit finite-difference methods for three-dimensional shallow water flow. Int J Numer Methods Fluids 15:629–648
Jin X, Kranenburg C (1993) Quasi-3D numerical modeling of shallow-water circulation. J Hydraul Eng ASCE 119:458–472
Zhang QY, Gin KYH (2000) 3D numerical simulation for tidal motion in Singapore’s coastal waters. Coastal Eng 39: 71–92
Ozawa H, Masuda K, Otsuka F, et al (2003) Study on tidal current simulation considering the wave field in shallow water areas and tidal flats (in Japanese). Proc Coastal Eng JSCE 50:396–400
Yu Z, Kyozuka Y (2004) A simplified moving boundary treatment in the MEC model. Int J Offshore Polar Eng, ISOPE 14:241–246
Oey L-Y (2005) A wetting and drying scheme for POM. Ocean Model 9:133–150
Lin B, Falconer RA (1997) Three-dimensional layer-integrated modeling of estuarine flows with flooding and drying. Estuarine Coastal Shelf Sci 44:737–751
Abualtayef M, Kuroiwa M, Yamashita Y, et al (2006) Three-dimensional numerical modeling of tidal currents in inter-tidal zone. In: Chung JS, Wardenier J, Frederking RMW, Koterayama W (eds) Proceedings of the 16th international offshore and polar engineering conference, ISOPE, Cupertino, CA, pp 592–599
Abualtayef M, Kuroiwa M, Tanaka K, et al (2006) Three-dimensional numerical simulations of wetting and drying bed due to tidal currents using fractional step method. In: McKee Smith J (ed) Proceedings of the 30th international conference on coastal engineering, vol 1. ASCE, San Diego, CA, pp 959–971
Koutitas C, O’Connor B (1980) Modeling 3D wind-induced flows. J Hydraulic Div ASCE 11:1843–1865
Kuroiwa M, Noda H, Matsubara Y (1998) Applicability of a quasi-3D numerical model to nearshore currents. In: Proceedings of the 26th international conference on coastal engineering. ASCE, Copenhagen, pp 2815–2827
Kuchiishi T, Kato K, Kuroiwa M, et al (2004) Applicability of a 3D morphodynamic model with shoreline change using a quasi-3D nearshore current model. In: Chung JS, Wardenier J, Frederking RMW, Koterayama W (eds) Proceedings of 15th international offshore and polar engineering conference, ISOPE, Cupertino, CA, pp 715–722
Catalan J, Ventura M, Brancelj A, et al (2002) Seasonal ecosystem variability in remote mountain lakes: implications for detecting climatic signals in sediment records. J Paleolimnology 28:25–46
Flather RA, Hubbert KP (1990) Tide and surge models for shallow water—Morecambe Bay revisited. In: Davies AM (ed) Modeling marine systems, vol I. CRC, Boca Raton, FL, pp 135–166
Ji ZG, Morton MR, Hamrick JM (2001) Wetting and drying simulation of estuarine processes. Estuarine Coastal Shelf Sci 53:683–700
Stelling GS, Wiersma AK, Willemse JBTM (1986) Practical aspects of accurate tidal computations. J Hydraulic Eng ASCE 9:802–817
Balzano A (1998) Evaluation of methods for numerical simulation of wetting and drying in shallow water flow models. Coastal Eng 34:83–107
Kato K, Tanaka N, Nadaoka K (1979) Tidal simulation on tidal marsh and numerical forecasting of its topographic deformation. Port Harbor Tech Res Inst 18:3–75
Li YS, Zhan JM (1993) An efficient three-dimensional semi-implicit element scheme for simulation of free surface flows. Int J Numer Methods Fluids 16:187–198
Ippen AT (1966) Estuary and coastline hydrodynamics. McGraw Hill, New York
Komatsu T, Adachi T, Kinnou S, et al (2003) Field observation of current and mass transport in the Ariake Sea (in Japanese). Proc Coastal Eng JSCE 50:936–940
Sasaki K, Matsukawa Y, Tsutsumi H, et al (2005) The ecosystem regeneration of the Ariake Sea (in Japanese). The Oceanographic Society of Japan. Koseisha Koseikaku, Tokyo
Isozaki I, Kitahara E (1977) Tides in the bays of Ariake and Yatsushiro. Oceanogr Mag 28:1–32
Author information
Authors and Affiliations
Corresponding author
About this article
Cite this article
Abualtayef, M., Kuroiwa, M., Tanaka, K. et al. Three-dimensional hydrostatic modeling of a bay coastal area. J Mar Sci Technol 13, 40–49 (2008). https://doi.org/10.1007/s00773-007-0257-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00773-007-0257-6