이동하는 대기압에 의해 생성되는 장파의 모의 및 불연속면 처리가 가능한 천수방정식 모델 개발

Abstract

The shock capturing numerical model based on shallow water equations is developed to predict run-up of long waves generated by a moving atmospheric pressure disturbance across a straight shoreline on a sloping beach. HLL approximate Riemann solver with the fifth order WENO scheme is used for computation of numerical flux in spatial discretization, which gives better results in comparison with TVD MUSCL type scheme. For time stepping method, the second order SSP-RK method is adopted. We conducted numerical experiments of wave propagation by a moving atmospheric pressure disturbance which is normally approached to the coastline. When the atmospheric pressure disturbance acts on the water surface, both free and forced waves are generated. And they are amplified due to shoaling and Proudman resonance. As the pressure center moves farther inland, the effects of the atmospheric pressure on the free surface motion diminish. The rebounding run-up wave radiates to all directions which are confined to the shore resulting from refraction. As time progresses, the rebounding wave splits into two waves, propagating essentially in the alongshore direction, opposite to each other. solver with the fifth order WENO scheme is used for computation of numerical flux in spatial discretization, which gives better results in comparison with TVD MUSCL type scheme. For time stepping method, the second order SSP-RK method is adopted. We conducted numerical experiments of wave propagation by a moving atmospheric pressure disturbance which is normally approached to the coastline. When the atmospheric pressure disturbance acts on the water surface, both free and forced waves are generated. And they are amplified due to shoaling and Proudman resonance. As the pressure center moves farther inland, the effects of the atmospheric pressure on the free surface motion diminish. The rebounding run-up wave radiates to all directions which are confined to the shore resulting from refraction. As time progresses, the rebounding wave splits into two waves, propagating essentially in the alongshore direction, opposite to each other.