Work

A hybrid numerical method for multi-domain wave propagation problems

Year: 2025

Type: article

Abstract: This study introduces a hybrid numerical methodology designed to address multi-domain wave propagation problems. The temporal discretization is achieved using the Houbolt scheme, a finite-difference-based approach known for its robust stability in time-dependent simulations. Spatially, the computational domain is partitioned into subdomains via a domain decomposition strategy, with continuity and equilibrium constraints imposed along the interfaces to ensure physical fidelity. Within each subdomain, the meshless generalized finite difference method (GFDM) is employed, thereby avoiding the complexity of mesh generation. Through the integration of Taylor series expansion and moving least squares (MLS) approximation, explicit formulations of partial derivatives are constructed. Numerical experiments confirm that the proposed hybrid method provides high accuracy and stability in simulating multi-domain wave propagation phenomena.

Source: Results in Applied Mathematics

DOI: 10.1016/j.rinam.2025.100678

Authors: Zihui Yan, Xiangran Zheng, Wenzhen Qu, Sheng-Dong Zhao

Institutions: Qingdao University, Ningbo University

Language: English

Topic: Numerical methods in engineering

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,770

Funders: National Natural Science Foundation of China, Qingdao Municipal Science and Technology Bureau, Natural Science Foundation of Qingdao