A new implementation method of sharp interface boundary conditions for particle methods in simulating wave interaction with submerged porous structure

Zhou, Y ORCID: 0000-0001-6867-6275 and Ping, Dong (2018) A new implementation method of sharp interface boundary conditions for particle methods in simulating wave interaction with submerged porous structure. Computers and Fluids, 177. pp. 87-100.

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Abstract

A new formulation of interface boundary conditions for simulating water waves over submerged porous media using particle method is presented. The fluid flow over and through a porous media is modelled by the standard NS equations for the free flow and volume averaged NS equation based on the Forcheimmer's type resistant force for the flow in the porous media, respectively. As the porosity and resistant forces exist only within the porous media, the continuity of Darcy velocity and flow stresses need to be enforced at the interface boundary between the free flow and the flow in the porous media. These boundary conditions are implemented simultaneously at the stage of solving the Poisson pressure equation (PPE) by transforming the velocity condition to an expression of pressure gradient and then applying the pressure expression at the sharp interface incorporating the stress conditions. Implementing the new formulation within the framework of an existing particle-based code (MLPG_R), a set of numerical ‘experiments’ is performed to demonstrate the method's effectiveness as compared with analytical solutions and experimental data including solitary wave and regular propagating wave with wave breaking.

Item Type:	Article
Uncontrolled Keywords:	Porous media, Interface treatment, Particle method, Coastal breakwater
Depositing User:	Symplectic Admin
Date Deposited:	09 Oct 2018 08:13
Last Modified:	19 Jan 2023 01:15
DOI:	10.1016/j.compfluid.2018.09.022
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3027313