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Propagation and run-up of nearshore tsunamis with HLLC approximate Riemann solver

机译：HLLC近似黎曼求解器在近海海啸中的传播和加速

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摘要

A numerical model describing the propagation and run-up process of nearshore tsunamis in the vicinity of shorelines is developed based on an approximate Riemann solver. The governing equations of the model are the nonlinear shallow-water equations. The governing equations are discretized explicitly by using a finite volume method. The nonlinear terms in the momentum equations are solved with the Harten-Lax-van Leer-Contact (HLLC) approximate Riemann solver. The developed model is first applied to prediction of water motions in a parabolic basin, and propagation and subsequent run-up process of nearshore tsunamis around a circular island. Computed results are then compared with available analytical solutions and laboratory measurements. Very reasonable agreements are observed.
机译：基于近似的黎曼求解器，建立了一个描述近海海啸在海岸线附近传播和上升过程的数值模型。该模型的控制方程是非线性浅水方程。控制方程通过使用有限体积法显式离散。动量方程中的非线性项使用Harten-Lax-van Leer-Contact（HLLC）近似Riemann求解器求解。所开发的模型首先用于预测抛物线盆地中的水运动，并预测圆形岛屿周围近海海啸的传播和随后的上升过程。然后将计算结果与可用的分析解决方案和实验室测量结果进行比较。遵守非常合理的协议。

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