과제정보
이 논문은 부산대학교 기본연구지원사업(2년)에 의하여 연구되었으며 이에 감사드립니다.
참고문헌
- Arevalo, E., Gaididei, Y. & Mertens, F.G., 2002. Soliton dynamics in damped and forced Boussinesq equations. The European Physical Journal B - Condensed Matter and Complex Systems, 27(1), pp.63-74. https://doi.org/10.1007/s10051-002-9004-2
- Bona, J., Pritchard, L. & Scott, L., 1981. An evaluation of a model equation for water waves. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 302, pp.457-510.
- Boussinesq, J., 1872. Theorie des ondes et des remous qui se propagent le long d'un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond. Journal de Mathematiques Pures et Appliquees 2e serie, 17(2), pp.55-108.
- Brocchini, M., 2013. A reasoned overview on Boussinesq-type models: the interplay between physics, mathematics and numerics. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 469(2160), pp.1-27. https://doi.org/10.1098/rspa.2013.0496
- Cooker, M.J., Weidman, P.D. & Bale, D.S., 1997. Reflection of a high-amplitude solitary wave at a vertical wall. Journal of Fluid Mechanics, 342, pp.141-158. https://doi.org/10.1017/S002211209700551X
- Debnath, L., 1994. Nonlinear water waves. Academic Press.
- Dutykh, D. & Dias, F., 2007. Dissipative Boussinesq equations. Comptes Rendus Mecanique, 335, pp.559-583. https://doi.org/10.1016/j.crme.2007.08.003
- Dutykh, D., 2009. Visco-potential free-surface flows and long wave modelling. European Journal of Mechanics B/Fluids, 28(3), pp.430-443. https://doi.org/10.1016/j.euromechflu.2008.11.003
- El-Zoheiry, H., 2002. Numerical study of the improved Boussinesq equation. Chaos, Solitons and Fractals, 14, pp.377-384. https://doi.org/10.1016/S0960-0779(00)00271-X
- Jang, T.S., 2017. A new dispersion-relation preserving method for integrating the classical Boussinesq equation. Communications in Nonlinear Science and Numerical Simulation, 43, pp.118-138. https://doi.org/10.1016/j.cnsns.2016.06.025
- Jang, T.S., 2018. An improvement of convergence of a dispersion-relation preserving method for the classical Boussinesq equation. Communications in Nonlinear Science and Numerical Simulation, 56, pp.144-160. https://doi.org/10.1016/j.cnsns.2017.07.024
- Keulegan, G.H., 1948. Gradual damping of solitary waves. Journal of Research of the National Bureau of Standards, 40(6), pp.487-498. https://doi.org/10.6028/jres.040.041
- Kim, H. & Oh, J., 2021. On the design of Novel hybrid wave generator. Journal of the Society of Naval Architects of Korea, 58(2), pp.112-120. https://doi.org/10.3744/SNAK.2021.58.2.112
- Lee, J.I., Kim, Y.T. & Yoon, S.B., 2007. Stem wave analysis of regular waves using a Boussinesq equation. Korean Society of Coastal and Ocean Engineers, 19(5), pp. 446-456.
- Lin, Q., Wu, Y.H., Loxton, R. & Lai, S., 2009. Linear B-spline finite element method for the improved Boussinesq equation. Journal of Computational and Applied Mathematics, 224(2), pp.658-667. https://doi.org/10.1016/j.cam.2008.05.049
- Liu, P. & Orfila, A., 2004. Viscous effects on transient long-wave propagation. Journal of Fluid Mechanics, 520, pp.83-92. https://doi.org/10.1017/S0022112004001806
- Lu, F., Song, Z. & Zhang, Z., 2016. A compact fourth-order finite difference scheme for the improved Boussinesq equation with damping terms. Journal of Computational Mathematics, 34(5), pp.462-478. https://doi.org/10.4208/jcm.1603-m2014-0193
- Madsen, O.S., 1970, Waves generated by a piston-type wavemaker. Proceedings of the 12th Coastal Engineering Conference, American Society of Civil Engineers, 1, pp.589-607.
- Mei, C.C., 1983. The applied dynamics of ocean surface waves. World Scientific.
- Park, J., 2020. A numerical study of the damped improved Boussinesq equation: Dispersion-Relation Preserving (DRP) numerical solutions. Ph.D. Busan: Pusan National University.
- Wang, Q., Zhang, Z. & Zhu, Q., 2013. Numerical simulation of the stochastic damped improved Boussinesq equation. Journal of Mathematical Physics, 54(1), 013503. https://doi.org/10.1063/1.4772608
- Wang, S. & Xu, H., 2013. On the asymptotic behavior of solution for the generalized IBq equation with Stokes damped term. Zeitschrift fur angewandte Mathematik und Physik, 64, p.719-731. https://doi.org/10.1007/s00033-012-0257-1
- Wang, Q., Zhang, Z., Zhang, X. & Zhu, Q., 2014. Energy-preserving finite volume element method for the improved Boussinesq equation. Journal of Computational Physics, 270, pp.58-69. https://doi.org/10.1016/j.jcp.2014.03.053
- Wu, Y. & Hsiao, S., 2018. Generation of stable and accurate solitary waves in a viscous numerical wave tank. Ocean Engineering, 167, pp.102-113. https://doi.org/10.1016/j.oceaneng.2018.08.043
- Wu, Y. & Hsiao, S., 2018. Generation of stable and accurate solitary waves in a viscous numerical wave tank. Ocean Engineering, 167, pp.102-113. https://doi.org/10.1016/j.oceaneng.2018.08.043
- Zelt, J.A., 1991. The run-up of nonbreaking and breaking solitary waves. Coastal Engineering, 15, pp.205-246. https://doi.org/10.1016/0378-3839(91)90003-Y
- Zhang, Z. & Lu, F., 2012. Quadratic finite volume element method for the improved Boussinesq equation. Journal of Mathematical Physics, 53(1), 013505. https://doi.org/10.1063/1.3672197