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Regional connectivity in modified finite point method

机译:修正有限点法的区域连通性

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In this paper, a concept of regional connectivity has been integrated into the modified finite point method (MFPM) to solve problems with different physical behaviors in adjacent regions. This approach has been employed to improve accuracy in its applications to harbor resonance of the MFPM, which has searched adjacent nodes by relative distance for local collocation. By identifying regional connectivity, only closer nodes within regions of the same regional connectivity with respect to a base point can be included for correct local collocation. In coastal engineering, phenomenon of resonance of harbors with breakwaters is a crucial consideration in harbor planning and design. Numerical computations of harbor resonance induced by monochromatic water-waves are used to verify the MFPM numerical model integrated with regional connectivity approach. The whole computational domain is divided into several subdomains, based on different physical behaviors. After numbering of each subdomain, regional connectivity is provided to exclude searching the nearest nodes from inappropriate subdomains for local collocation. Harbors of different physical geometries, with and without breakwaters have been examined when analytical solutions are available. Very good agreement between numerical results and analytical solutions has demonstrated that the concept of regional connectivity has improved the performance of MFPM. Application of this regional connectivity concept will be needed in similar problems, such as a crack in a thin plate, and a cutoff of groundwater seepage.
机译:在本文中,区域连通性的概念已被集成到改进的有限点方法(MFPM)中,以解决相邻区域具有不同物理行为的问题。已经采用这种方法来提高其应用中的准确性,以保留MFPM的共振,该MFPM已通过相对距离搜索了相邻节点以进行本地配置。通过标识区域连通性,可以仅包含相对于基点而言具有相同区域连通性的区域内的更近节点,以进行正确的本地配置。在沿海工程中,港口与防波堤的共振现象是港口规划和设计中的关键考虑因素。利用单色水波引起的港口共振的数值计算,验证了结合区域连通性方法的MFPM数值模型。根据不同的物理行为,整个计算域分为几个子域。在为每个子域编号后,将提供区域连通性,以排除从不合适的子域中搜索最近的节点以进行本地配置。使用分析解决方案时,已经检查了具有和不具有防波堤的不同物理几何形状的港口。数值结果与分析解决方案之间的很好一致性表明,区域连通性的概念提高了MFPM的性能。对于类似的问题,例如薄板的裂缝和地下水渗流的切断,将需要应用这种区域连通性概念。

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