Three-dimensional numerical modeling of the interaction of dam-break waves and porous media

A set of macroscopic model equations for describing the interaction of dam-break waves and porous media is presented. A mathematical model based on spatial averaging theory proposed by Slattery [1] is derived. The large eddy simulation turbulence model and the moving-solid algorithm are incorporated for observing the wave behavior within porous media. The model is validated using two-dimensional experimental data for dam-break wave interaction with porous structures [2], three-dimensional dam-break wave evolution [3] and [4] as well as impact force of dam-break wave on an impermeable vertical column [5]. Numerical experiments of three-dimensional dam-break waves impacting porous media are subsequently performed. The net force on the structure and the horizontal velocity on a fixed point are also discussed.

► A new set of macroscopic model equations is derived and developed. ► Interactions of dam-break wave and porous media are examined by present model. ► We examine the effects of different gate motions and porous media. ► Flow patterns are similar, if flows propagate for a sufficiently long period. ► Net force between flow and structure is greatly reduced if the structure is porous.