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\begin{document}

\title{A NEW NUMERICAL SOLVER FOR SIMULATING POROUS MEDIA FLOW BASED ON
IMMERSED BOUNDARY METHOD}



\author[1]{Hasan Gokhan Guler}%
\author[2]{Xiaofeng Liu}%
\author[3]{Bjarne Jensen}%
\author[3]{Pietro D. Tomaselli}%
\author[1]{Cuneyt Baykal}%
\author[4]{Taro Arikawa}%
\author[1]{Ahmet Cevdet Yalciner}%
\affil[1]{Middle East Technical University}%
\affil[2]{Pennsylvania State University}%
\affil[3]{DHI}%
\affil[4]{Chuo University}%


\vspace{-1em}



  
  \date{May 21, 2024}


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\begin{abstract}
In this study, we present and validate a new numerical solver in
OpenFOAM\selectlanguage{ngerman}®-v1706 called ``ibmPorFoam'' that is developed modifying IHFOAM
(Higuera et al., 2014) with Immersed Boundary Method. IHFOAM is
previously developed modifying interFoam solver of OpenFOAM® to solve
flow properties in porous media. IHFOAM solves Volume Averaged Reynolds
Averaged Navier-Stokes Equations, captures the free surface using Volume
of Fluid method, and is capable of generating and absorbing waves.
Immersed boundary method implemented in this study is based on body
force approach given by Liu (2013). ibmPorFoam is validated in two parts
by using k-\selectlanguage{greek}ε \selectlanguage{english}model as the turbulence closure. In the first part, a
porous dam-break experiment (Lin, 1998) is studied as a 2D case study.
Free surface measurements inside and outside the porous medium are
compared with the numerical results. In the second part, 3D numerical
simulations are carried out to determine flow properties around a rigid,
impervious box based on the experimental setup of Kleefsman et al.
(2005). Numerical results are compared with the experimental results at
wave gauges along the channel and pressure gauges located on the box.
Both experimental cases are also simulated using IHFOAM to observe the
differences in the numerical solvers. It is seen that the results of
numerical simulations conducted with ibmPorFoam are in fairly
well-agreement with both experimental results and numerical results from
IHFOAM. Acknowledgement: Support from TUBITAK, Turkey (Project No:
217M722) is acknowledged. References Higuera, Lara, Losada (2014a), 3D
Interaction of Waves and Porous Coastal Structures using OpenFOAM\selectlanguage{ngerman}®,
Coastal Eng., 83, 43-258. Kleefsman, Fekken, Veldman (2005), A
Volume-of-Fluid Based Simulation for Wave Impact Problems, J. Comp.
Physics, 206, 363-393. Lin (1998), Numerical Modeling of Breaking Waves,
PhD Thesis, Cornell University. Liu, X. (2013), Realistic Flow
Simulations around and inside Porous Scour Protection, in proceedings of
2013 IAHR Congress, 1--8.%
\end{abstract}\selectlanguage{ngerman}%



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