SonicRadiation: A Hybrid Numerical Solution for Sound Radiation without Ghost Cells

TL;DR

SonicRadiation introduces a hybrid numerical method combining FDTD and TDBEM to improve sound radiation simulation accuracy and efficiency in complex scenes without ghost cells.

Contribution

A novel hybrid approach that integrates FDTD and TDBEM with boundary grid synchronization, eliminating ghost cells and enhancing simulation accuracy for complex object boundaries.

Findings

Outperforms previous methods in accuracy and efficiency

Effectively handles complex and dynamic object boundaries

Validated through experimental results in complex scenes

Abstract

Interactive synthesis of physical sound effects is crucial in digital media production. Sound radiation simulation, a key component of physically based sound synthesis, has posed challenges in the context of complex object boundaries. Previous methods, such as ghost cell-based finite-difference time-domain (FDTD) wave solver, have struggled to address these challenges, leading to large errors and failures in complex boundaries because of the limitation of ghost cells. We present SonicRadiation, a hybrid numerical solution capable of handling complex and dynamic object boundaries in sound radiation simulation without relying on ghost cells. We derive a consistent formulation to connect the physical quantities on grid cells in FDTD with the boundary elements in the time-domain boundary element method (TDBEM). Hereby, we propose a boundary grid synchronization strategy to seamlessly integrate TDBEM with FDTD while maintaining high numerical accuracy. Our method holds both advantages from the accuracy of TDBEM for the near-field and the efficiency of FDTD for the far-field. Experimental results demonstrate the superiority of our method in sound radiation simulation over previous approaches in terms of accuracy and efficiency, particularly in complex scenes, further validating its effectiveness.