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WAVE GENERATION ON AN INCLINED OPEN CHANNEL WITH A BUMP
a Industrial and Financial Mathematical Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia
[vc_row][vc_column][vc_row_inner][vc_column_inner][vc_separator css=”.vc_custom_1624529070653{padding-top: 30px !important;padding-bottom: 30px !important;}”][/vc_column_inner][/vc_row_inner][vc_row_inner layout=”boxed”][vc_column_inner width=”3/4″ css=”.vc_custom_1624695412187{border-right-width: 1px !important;border-right-color: #dddddd !important;border-right-style: solid !important;border-radius: 1px !important;}”][vc_empty_space][megatron_heading title=”Abstract” size=”size-sm” text_align=”text-left”][vc_column_text]© Int. J. of GEOMATE. All rights reserved, including the making of copies unless permission is obtained from the copyright proprietors.A uniform flow on an open channel is studied in this paper. Shallow water equations are used as the model by involving the bottom topography. In this problem, we focus on incline bottom and put a bump on it, so that the flow generates a surface wave. The model is extended by energy dissipation through tangential shear and the energy dissipation by shearing normal to the flow. In non-dimensional variables, the profile of the fluid surface is observed as waves growing to split and propagating, depending on the type of the bump, parameters angle of the channel, Froude number and Reynolds number. When the angle is not zero, we found that the waves propagate downward and possible appearing secondary waves or undular bore, that does not occur for zero angles but agrees to the model of Boussinesq equations. To get the accurate result with purely showing the damping effect from the equation, the finite volume method has been applied on a staggered grid that is free from damping error to solve the equations numerically.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Author keywords” size=”size-sm” text_align=”text-left”][vc_column_text][/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Indexed keywords” size=”size-sm” text_align=”text-left”][vc_column_text]Froude number,Reynolds number,Shallow water equations,Undular bore[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Funding details” size=”size-sm” text_align=”text-left”][vc_column_text][/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”DOI” size=”size-sm” text_align=”text-left”][vc_column_text]https://doi.org/10.21660/2020.76.42744[/vc_column_text][/vc_column_inner][vc_column_inner width=”1/4″][vc_column_text]Widget Plumx[/vc_column_text][/vc_column_inner][/vc_row_inner][/vc_column][/vc_row][vc_row][vc_column][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][/vc_column][/vc_row]