TY - JOUR ID - 71680 TI - Solution of Wave Equations Near Seawalls by Finite Element Method JO - International Journal of Engineering JA - IJE LA - en SN - 1025-2495 AU - Mirzaee, F. AU - Rajaee, T. AD - Civil Engineering, Shiraz University AD - Civil Engineering, Khaje Nasir Toosi University of Technology Y1 - 2008 PY - 2008 VL - 21 IS - 1 SP - 1 EP - 16 KW - Finite element method KW - Wave Equation KW - Seawalls KW - Numerical method DO - N2 - A 2D finite element model for the solution of wave equations is developed. The fluid is considered as incompressible and irrotational. This is a difficult mathematical problem to solve numerically as well as analytically because the condition of the dynamic boundary (Bernoulli’s equation) on the free surface is not fixed and varies with time. The finite element technique is applied to solve nonlinear wave equations. The finite element model includes the conventional method based on a variational principle. This model minimizes the relevant function of the problem. After calculating two independent variables (i.e.and) the pressure, forces, and moments acting on sea-walls can be computed. These values are compared with existing experimental and theoretical outputs. The standing wave behavior is well described by the model, e.g. we can get the envelope of breaking waves in curve designs, which are developed for non-breaking waves. Also we can estimate the effective depth of a certain wave. Therefore the model can be used to propose some design curves. UR - https://www.ije.ir/article_71680.html L1 - https://www.ije.ir/article_71680_93446ae7702a051bfb0dcebf6b3ea37a.pdf ER -