A Cartesian grid based multiphase flow model for water impact of an arbitrary complex body

Parametric studies on the water impact of one and twin free-falling wedges by a Cartesian grid multiphase flow model

“…The present numerical model has been demonstrated extensively by many cases such as flows around one and two oscillating cylinders (Xin et al, 2018), nonlinear sloshing, and the water entry of a complex moving body (Shi et al, 2019). The fluid load, the local pressure, and the free surface elevation agree well with the experimental, analytical, and numerical results.…”

“…In addition, a Lagrange polynomial interpolation scheme is used to interpolate the velocity vector at arbitrary positions. The detailed numerical implementation can be referred to Shi et al (2019).…”

“…In this work, an in-house multiphase fluid structure interaction (FSI) model (Shi et al, 2019) on the Cartesian grid is used to simulate the water impact of twin wedges. The governing equations are the incompressible two-phase flow N-S equations including the continuity and momentum equations, which are expressed as:…”

“…Similarly, by combining the direct forcing IB method with the level set (LS) method, Zhang et al (2010) simulated the water entry of a wedge in free motion. Shi et al (2019) modelled the water impact of a multihull section and a ship section with various roll angles by combining the RBFGCM with the GALS method. Other applications on water impact by the Cartesian grid method can be found in (Bihs and Kamath, 2017;Hu et al, 2018;Zheng et al, 2020).…”

“…We analyzed the vertical and horizontal slamming load, the motion response, the impulsive pressure, the pressure distribution, and the fluid field under different drop velocities and gap distances. The present numerical model is based on Shi et al (2019)'s Cartesian grid multiphase flow model where the RBFGCM and GALS methods are used to treat multiple moving bodies and violent free surfaces, respectively.…”