Abstract
The presence of the ground may influence hydrodynamic loads acting on structures in some water entry problems, such as the operation of high-speed planning vessels and the emergency landing of aircrafts in shallow rivers. While most investigations have been focused on the water entry with infinite water depth, the water entry with finite water depth is not yet to fully be analyzed. The shallow water entry of wedges is numerically investigated using the finite volume method in this paper. The applications of the numerical method in water entries with infinite and finite water depths are validated by comparing with previous theoretical and experimental results. Based on the validated numerical model, a series of systematic computations on the shallow water entries of wedges with different water depths and deadrise angles are carried out. Three non-dimensional ratios, $R_{\mathrm {p}}$ , $R_{\mathrm {r}}$ and $R_{\mathrm {F}}$ , are introduced to quantify the influence of the presence of the ground on pressure field, free surface evolution and impact force, respectively. Then, the hydrodynamics related to the shallow water entry of wedges are investigated through the comparison with the infinite-depth water entry.
Highlights
The investigation of water entry problems is of fundamental importance in the design of marine and aerospace structures
AND DISCUSSIONS the hydrodynamics related to the shallow water entry in terms of pressure field, free surface evolution and impact force are investigated by using the Computational Fluid Dynamics (CFD) method
In order to quantify the influence of the presence of the ground on the pressure field, the free surface evolution and the impact force, three non-dimensional ratios, Rp, Rr, and RF, are introduced and the water entry with infinite water depth is discussed comparatively
Summary
The investigation of water entry problems is of fundamental importance in the design of marine and aerospace structures. Pioneering work on the water entry can be traced back to [1] and [2], which was motivated by seaplane landing problems. Based on the studies of [1] and [2], a great number of analytical or semi-analytical solutions have been proposed to predict the hydrodynamic loading associated with the water entry. Reference [3] added some extra terms to the distribution of the velocity potential which made the flow velocity at the edge of the contact region bounded. References [4], [5], and [6] corrected the singularity of the contact region edge in the original Wagner model by using the matched asymptotic expansion method. Reference [7] gave a rational derivation of several analytical models, including the Original Logvinovich Model (OLM), the Modified
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