openCFS：用于耦合场仿真的开源有限元软件——声学部分
openCFS: Open Source Finite Element Software for Coupled Field Simulation -- Part Acoustics
AI总结：
本文介绍2020年启动的开源有限元耦合场仿真框架openCFS，重点说明其声学模块在PML、非协调界面、谱元、气动声学及风扇噪声仿真等方面的功能。
摘要：
有限元方法为数值求解传感器与执行器仿真中出现的耦合场问题提供了有吸引力的方法，这些问题涉及电动力学、力学和热力学等多个物理领域。基于这一应用视角，并考虑到开放、可获取以及快速实现的可能性，openCFS于2020年启动。它提供了一个使用有限元方法实现偏微分方程的开源框架。特别是，声学模块是当前活跃开发的一部分，包含若干关键方法。这些方法包括完全匹配层技术、非协调界面公式、Lagrangian基函数、Legendre基函数、谱元公式、节点单元类型、基于边的单元类型（气动声学后处理）、吸收边界条件，以及用于时谐和瞬态仿真的频率相关材料。软件支持瞬态仿真、时谐仿真和特征值仿真。其中实现了多种声学方程变体，包括气动声学相关的源项和波算子。该软件包包含用于风扇噪声仿真的旋转域和非协调界面，还提供了指向Python3包pyCFS的API。本文介绍openCFS，重点介绍声学模块。
英文摘要：
The finite element method offers attractive methods for the numerical solution of coupled field problems arising in sensors and actuator simulations of various physical domains, like electrodynamics, mechanics, and thermodynamics. With this application perspective and being open, accessible, and fast implementations are possible, openCFS was launched in 2020. It provides an open-source framework for implementing partial differential equations using the finite element method. In particular, the acoustic module is part of active development, including several key methods. These methods include the perfectly-matched layer technique, non-confirming interface formulations, Lagrangian basis function, Legendre basis functions, spectral element formulations, a nodal element type, edge-based element type (aeroacoustic post-processing), absorbing boundary conditions, frequency dependent-material for time-harmonic and time-dependent simulations. Time-dependent simulations, time-harmonic simulations, and eigenvalue simulations are supported. Several variants of acoustic equations are implemented, including the relevant source terms and wave operators for aeroacoustics. The package includes rotating domains and non-conforming interfaces for fan noise simulations. It also contains an API to the Python3 package pyCFS. This paper presents openCFS with a focus on the acoustic module.
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