Universidad Rey Juan Carlos, Spain.
Ultrason Sonochem. 2013 May;20(3):963-9. doi: 10.1016/j.ultsonch.2012.11.009. Epub 2012 Nov 29.
This paper presents three-dimensional simulations of nonlinear propagation of ultrasonic waves through bubbly liquids, which represent the continuity of our previous works included in the numerical tool SNOW-BL. The behavior of three-dimensional nonlinear acoustic waves in bubbly liquids is analyzed by means of numerical predictions. Nonlinearity, attenuation, and dispersion due to the presence of bubbles in the liquid are taken into account. The numerical solution to the differential problem is obtained by means of a finite-difference scheme. The simulations we present here consider a homogeneous distribution of bubbles in the liquid. Results compare high and low-amplitude waves to detect the nonlinear effects of the bubbles. Results are shown for radiation and enclosure problems.
本文通过对通过含气液体的超声波的非线性传播的三维模拟，展示了我们之前在数值工具 SNOW-BL 中所做的工作的连续性。通过数值预测分析了含气液体中三维非线性声波的行为。考虑了液体中气泡的存在引起的非线性、衰减和频散。通过有限差分方法获得微分问题的数值解。我们在这里提出的模拟考虑了液体中气泡的均匀分布。通过比较高振幅和低振幅波来检测气泡的非线性效应。结果显示了辐射和封闭问题。
