Numerical Simulation of the Water Entry of a Wedge Based on the Complex Variable Boundary Element Method

Abstract

The water entry problem of a wedge is simulated based on the velocity potential theory in time domain. The Complex Variable Boundary Element Method (CVBEM) is used in the stretched coordinate system. Before the simulation, the similarity solution is taken as the initial conditions. The auxiliary function scheme in conjunction with the same CVBEM is used to obtain the accurate time derivative of velocity potential and pressure distribution on wedge surface. The time marching solution is matched with the jet special treatment. Finally, the simulation results are compared with the similarity solution, which shows that the jet linear approximation can simulate the jet well.

Numerical Assessment of turbulence effect on Forces, Spray parameters, and secondary impact in wedge water entry problem using k-ε method

“…On the other hand, analytical method has been used by Ghadimi et al [10] by applying the Schwartz-Christo el conformal mapping, a solution which neglects viscosity e ects. The works by Gao et al [11] and Wu et al [12] are other studies, which have used potential theory to solve the wedge water entry problem. Other researchers who chose laminar assumptions include Khabakhpasheva and Korobkin [13], Yamada et al [14], Alaoui and Neme [15], and Luo et al [16].…”

Numerical Assessment of Symmetric Wedge Water-entry Impact Using OpenFOAM

“…The Finite Difference Method (FDM) was employed by [29] to address the water-entry problem while simultaneously assuming a laminar flow. In two studies by [5] and [21], they addressed the water-entry problem using the BEM, while the viscosity and turbulence effects were not counted. In the following, we refer to some works that have covered the effect of gravity, surface tension, viscosity, and turbulence in water-entry problems.…”

Asymmetric Water Entry of Twin Wedges with Different Deadrises, Heel Angles, and Wedge Separations using Finite Element Based Finite Volume Method and VOF

“…Also, Shademani and Ghadimi (2016) numerically investigated the secondary impact of wedges at extreme angles. Boundary element method was also used by Zhao and faltinsen (1993), Battistin and Iafrati (2004), Sun et al (2011), Wang and Wei (2012), Yousefnezhad and Zeraatgar (2014) and Gao et al (2011). In a different approach, the Shwartz-Christoffel conformal mapping was used by Ghadimi et al (2011) as an analytical solution to the problem.…”