Abstract
Complex single/multi-body structures are generally found in ship and ocean engineering. They have the smooth, sharp, concave, and convex surface features in common. Precise modeling of the structures is the basis of numerical simulation. However, the most widely used explicit modeling method requires considerable manual operations. The result is also difficult to reproduce. Therefore, this paper presents a Radial basis function (RBF) based hierarchical (h-) adaptive Cartesian grid method. The RBF is introduced for arbitrary implicit modeling over the Cartesian framework. Thanks to its natural properties, the RBF is easy to use, highly automated, and only needs a set of scatter points for modeling. The block-based h-adaptive mesh refinement (AMR) combined with the RBF aims to enhance the local grid resolution. It accelerates the calculation of intersecting points compared with the uniform Cartesian grid. The accuracy, efficiency, and robustness of the proposed method are validated by the simulation of the 3D analytical ellipsoidal surface and the unclosed conic surface. To select suitable parameters, we thoroughly investigated the uncertainty factors including sample points, RBF functions, and h-AMR grids. The simulation results of the single/multi-body Wigley hull and KCS hull forms verified the proper selection of the factors and the feasibility of our method to solve practical problems.
Highlights
Complex geometries, such as various types of single/multi-body hull forms, are frequently found in ship and ocean engineering
It can be divided into three main steps: (1) initial grid generation and the geometric refinement of the h-adaptive mesh refinement (AMR) grids; (2) single/multi-body Radial basis function (RBF) geometric modeling through scatter points; and (3) the calculation of the intersecting points based on the combined RBF and h-AMR background grid
The RBF technique is adopted within the non-body-fitted Cartesian background grid framework, in which the block-based h-AMR approach is utilized instead of the uniform Cartesian grid
Summary
Complex geometries, such as various types of single/multi-body hull forms, are frequently found in ship and ocean engineering. The numerical simulation of the geometric problems is performed by the mesh-based CFD approaches, which can be divided into the body-fitted and the non-bodyfitted methods. The former, including the separate C-/O-/H-mesh and the hybrid mesh [1], requires the mesh to align with the solid surface. The simulation of the complex marine geometries usually requires a large computational domain In this case, the usage of the uniform Cartesian grid is difficult to describe the solid surface in detail while maintaining high computational efficiency. Due to the grids being independent of the solid surface, the complex geometry needs to be identified and reconstructed from the background grid
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