任意反射率边界条件的港湾波浪绕射数学模型

天然港湾或人工筑港的边界不论形状还是反射条件往往是复杂的。现有的港口波浪绕射的计算模式常简化为单突堤、双突堤和岛式防波堤等简单布置型式而略去港内码头等其他岸线复杂边界的反射影响,因而仅是粗略的。复杂边界的港口波浪绕射多藉助于物理模型试验。本文介绍采用单源点法求解具有任意反射率边界条件的港湾波浪绕射的数学模型。该模型已用于广东大亚湾核电站港内泊稳条件的数值计算,计算结果与物理模型试验结果吻合良好。

Mathematical Model for Wave Diffraction in a Harbour Having Boundaries with Arbitray Rate of Reflection

The numerical estimation of wave diffraction in a harboar basin is oftentrouble some owing to the boundaries are very complex both in shape and in reflection condition.The schemes available to solve the wave diffraction in a harbour are quite coarse due to the simplification of the realistic boun- daries into a single jetty,a gap breakwater and a detatched breakwater, neglecting the reflection effect of boundaries along the quays and the shoreline whose shapes are rather irregular.Physical models turn to be more helpful and valid in this case.In the present paper a mathematical model for wave diffraction in a harbour is introduced by using the sin- gularity distribution method which can take into account the boundaries with arbitray rate of reflection.The prepsent model has been applied to the estimation of wave diffraction in the harbour basin of Guangdong Daya- wan Nuclear Plant,and verifications with corresponding physical models are quite favorable.