2019
DOI: 10.3390/computation8010001
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An Efficient Two-Layer Non-Hydrostatic Model for Investigating Wave Run-Up Phenomena

Abstract: In this paper, we study the maximum run-up of solitary waves on a sloping beach and over a reef through a non-hydrostatic model. We do a modification on the non-hydrostatic model derived by Stelling and Zijlema. The model is approximated by resolving the vertical fluid depth into two-layer system. In contrast to the two-layer model proposed by Stelling, here, we have a block of a tridiagonal matrix for the hydrodynamic pressure. The equations are then solved by applying a staggered finite volume method with pr… Show more

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Cited by 9 publications
(2 citation statements)
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References 29 publications
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“…The transition of water from the surface layer (H) to groundwater aquifers is determined by the process of infiltration. Such two-layer and multilayer numerical models are very effective for various hydrological applications [28,63,64].…”
Section: Multilayer Numerical Model Of the Floodplain Hydrological Re...mentioning
confidence: 99%
“…The transition of water from the surface layer (H) to groundwater aquifers is determined by the process of infiltration. Such two-layer and multilayer numerical models are very effective for various hydrological applications [28,63,64].…”
Section: Multilayer Numerical Model Of the Floodplain Hydrological Re...mentioning
confidence: 99%
“…In order to simulate the propagation of a monochrome wave passing over a submerged breakwater, we will construct a numerical code for linear SWEs using the method of finite volume on a staggered grid as described intensively in [21][22][23][24][25][26][27][28]. This numerical scheme is free from damping error, which is really important in this research since we want to isolate the damping effect caused by the submerged breakwater only.…”
Section: Introductionmentioning
confidence: 99%