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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
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The Runge-Kutta DGFEM (Discontinuous Galerkin Finite Element Method) is applied to the discretization of 1D high-order Boussinesq equation of Madsen et al. (2002). Discontinuous Galerkin method is used, which allows discontinuities at the element interfaces, for the spatial discretization and explicit high-order Runge-Kutta method is adopted in time integration. The connection between interfaces is set as an approximate Riemann problem and Lax-Friedrichs numerical fluxes are employed. To remove the unnecessary oscillations, Savitzky-Golay filter is applied to the solution at each time step. When necessary, a numerical sponge layer is set to mimic the open boundary condition and relaxation zone is set for the internal wave generation. As benchmark case studies, the propagation of sine (linear) wave and nonlinear wave over a submerged breakwater are simulated with the developed numerical model. For the latter case study, the results are compared with experimental data and good agreement is observed.
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참고문헌 (19)
참고문헌 신청
최준우 / 2009 / RANS 방정식의 운동량 원천항을 이용한 내부조파 / 한국해안·해양공학회논문집 21(2):182~190
Cockburn, B. / 1999 / Discontinuous Galerkin methods for convection dominated problems / Lecture Notes in Computational Science and Engineering 9:69~224
Dean, R. G. / 1991 / Water Wave Mechanics for Engineers and Scientists / World Scientific
Engsig-Karup, A. P. / 2006 / Nodal DG-FEM solution of high-order Boussinesq-type equations / J. Engrg. Math. 56:351~370
Eskilsson, C. / 2003 / An hp/spectral element model for efficient long-time integration of Boussinesq-type equations / Coastal Engrg. J. 45:295~320
Cockburn, B. / 1999 / Discontinuous Galerkin methods for convection dominated problems / Lecture Notes in Computational Science and Engineering 9:69~224
Dean, R. G. / 1991 / Water Wave Mechanics for Engineers and Scientists / World Scientific
Engsig-Karup, A. P. / 2006 / Nodal DG-FEM solution of high-order Boussinesq-type equations / J. Engrg. Math. 56:351~370
Eskilsson, C. / 2003 / An hp/spectral element model for efficient long-time integration of Boussinesq-type equations / Coastal Engrg. J. 45:295~320
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