Boundary Conditions for 2D Boussinesq-type Wave-Current Interaction Equations

Authors

  • Mera M. Civil Engineering, University of Andalas, Padang

DOI:

https://doi.org/10.9744/ced.13.1.37-41

Keywords:

Boundary condition, Boussinesq, wave, current, free surface

Abstract

This research focuses on the development of a set of two-dimensional boundary conditions for specific governing equations. The governing equations are existing Boussinesqtype equations which is capable of simulating wave-current interaction. The present boundary conditions consist of for waves only case and for currents only case. To simulate wave-current interaction, the two kinds of the present boundary conditions are then combined. A numerical model based on both the existing governing equations and the present boundary conditions is applied to simulation of currents only and of wave-current interaction propagating over a basin with a submerged shoal. The results of the numerical model show that the present boundary conditions go well with the existing Boussinesq-type wave-current interaction equations.

References

Boussinesq, J., Théorie des ondes et des ramous qui se propagent le long d’un canal rectangulaire horizontal, en communi quant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond. J. Math. Pures Appl. 2nd Series 17, 1872, pp. 55-108.

Peregrine, D.H., Long Waves on a Beach. J. Fluid Mechanics 27(4), 1967, pp. 815-827.[CrossRef]

Nwogu, O., Alternative Form of Boussinesq Equations for Nearshore Wave Propagation. J. Waterway Port Coastal and Ocean Eng, ASCE 119(6), 1993, pp. 618-638.[CrossRef]

Wei, G. and Kirby, J.T., Time-dependent Numerical Code for Extended Boussinesq Equations, J. Waterway Port Coastal and Ocean Eng, ASCE 121(5), 1995, pp. 251-261.[CrossRef]

Chen, Q., Madsen, P.A., Schäffer, H.A., and Basco, D.R., Wave-current Interaction Based on an Enhanced Boussinesq Approach. Coastal Engineering 33, 1998, pp. 11-39.[CrossRef]

Mera, M., Boussinesq-type Numerical Models, Ph.D Thesis at the University of New South Wales, Sydney, Australia, 2002.

Mera, M., 2D Horizontal Weakly Non-linear Boussinesq-type Numerical Wave Model, Jurnal Teknologi Kelautan, Vol. 11, No. 1, 2007, pp. 37-48.

Purwanto, B. S., Wind Affected Density Current Profile in a Small Semi-Enclosed Water Body, Civil Engineering Dimension, Vol. 11, No. 1, 2009, pp. 58-68.

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Published

2011-03-03

How to Cite

M., M. (2011). Boundary Conditions for 2D Boussinesq-type Wave-Current Interaction Equations. Civil Engineering Dimension, 13(1), 37-41. https://doi.org/10.9744/ced.13.1.37-41

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Articles