当前位置: X-MOL 学术Wave Motion › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
A source term approach for generation of one-way acoustic waves in the Euler and Navier–Stokes equations
Wave Motion ( IF 2.4 ) Pub Date : 2017-12-01 , DOI: 10.1016/j.wavemoti.2017.08.004
Kazuki Maeda 1 , Tim Colonius 1
Affiliation  

We derive a volumetric source term for the Euler and Navier-Stokes equations that mimics the generation of unidirectional acoustic waves from an arbitrary smooth surface in three-dimensional space. The model is constructed as a linear combination of monopole and dipole sources in the mass, momentum, and energy equations. The singular source distribution on the surface is regularized on a computational grid by convolution with a smeared Dirac delta function. The source is implemented in the Euler equations using a Cartesian-grid finite-volume WENO scheme, and validated by comparing with analytical solution for unidirectional planar and spherical acoustic waves. Using the scheme, we emulate a spherical piezoelectric transducer and a multi-array transducer to simulate focused ultrasound fields in water. The simulated ultrasound fields show favorable agreement with previous experiments.

中文翻译:

在欧拉方程和纳维-斯托克斯方程中产生单向声波的一种源项方法

我们推导出 Euler 和 Navier-Stokes 方程的体积源项,该方程模拟从三维空间中的任意光滑表面生成单向声波。该模型被构建为质量、动量和能量方程中单极子和偶极子源的线性组合。表面上的奇异源分布在计算网格上通过与模糊狄拉克 delta 函数的卷积进行正则化。该源使用笛卡尔网格有限体积 WENO 方案在欧拉方程中实现,并通过与单向平面和球面声波的解析解进行比较来验证。使用该方案,我们模拟球形压电换能器和多阵列换能器来模拟水中的聚焦超声场。
更新日期:2017-12-01
down
wechat
bug