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首页> 外文期刊>Journal of Computational Physics >Computation of three-dimensional Brinkman flows using regularized methods
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Computation of three-dimensional Brinkman flows using regularized methods

机译：使用正则化方法计算三维Brinkman流

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摘要

The Brinkman equations of fluid motion are a model of flows in a porous medium. We develop the exact solution of the Brinkman equations for three-dimensional incompressible flow driven by regularized forces. Two different approaches to the regularization are discussed and compared on test problems. The regularized Brinkman model is also applied to the unsteady Stokes equation for oscillatory flows since the latter leads to the Brinkman equations with complex permeability parameter. We provide validation studies of the method based on the flow and drag of a solid sphere translating in a Brinkman medium and the flow inside a cylindrical channel of circular cross-section. We present a numerical example of a swimming organism in a Brinkman flow which shows that the maximum swimming speed is obtained with a small but non-zero value of the porosity. We also demonstrate that unsteady Stokes flows with oscillatory forcing fall within the same framework and are computed with the same method by applying it to the motion of the oscillating feeding appendage of a copepod.
机译：流体运动的布林克曼方程是多孔介质中流动的模型。我们针对正则力驱动的三维不可压缩流，开发了Brinkman方程的精确解。讨论了两种不同的正则化方法，并在测试问题上进行了比较。正则化的布林克曼模型也适用于振动流的非定常斯托克斯方程，因为后者导致具有复杂渗透率参数的布林克曼方程。我们基于在Brinkman介质中平移的固体球的流动和阻力以及圆形横截面的圆柱通道内的流动，提供了该方法的验证研究。我们在布林克曼流中提出了一个游泳生物的数值示例，该示例表明，以很小但非零的孔隙率值可获得最大游泳速度。我们还证明了具有振荡强迫的非定常斯托克斯流落在同一框架内，并且通过将其应用于a足类的摆动进食附属物的运动而用相同的方法来计算。

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