Simulasi Numerik Persamaan Gelombang Air Dangkal untuk Kasus Bendungan Bobol

Raditya Panji Umbara
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Abstract

Technological failure and natural disasters that caused the dam-break resulted in huge losses, both material loss and loss of life. The mathematical model for the dam-break can use the shallow water equation. In this paper, modeling the dam-break in two dimensions is solved by using the finite volume method with a stagerred-grid scheme. The staggered-grid scheme produces more accurate and robust when compared to the Lax-Friedrics scheme. The stability of the water waves on the part of the damaged dam wall is also well preserved using a staggered-grid scheme. Modeling a dam-break with real bathymetric data will be a challenge for further research, because it involves a more complex geometry.
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对大坝破裂病例的浅水波模拟数值方程
技术故障和自然灾害导致的溃坝造成了巨大的物质损失和生命损失。溃坝的数学模型可以采用浅水方程。本文采用交错网格格式的有限体积法求解二维溃坝模型。与Lax-Friedrics方案相比,交错网格方案具有更高的精度和鲁棒性。交错网格方案也很好地保护了水波在受损坝壁部分的稳定性。用真实的水深数据对溃坝进行建模将是进一步研究的挑战,因为它涉及到更复杂的几何结构。
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