Iason Tsetoglou, Mélody Cailler, Pierre Bénard, Ghislain Lartigue, Vincent Moureau, Julien Réveillon
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引用次数: 0
Abstract
An original Immersed Boundary Method for solving moving body flows is proposed. This method couples (i) a Lagrangian Volume-of-Solid description of the solid object avoiding conservation issues and (ii) a robust implicit volume penalty forcing embedded in a low-Mach number projection method to account for the solid's impact on the fluid dynamics. A new composite velocity field is introduced to describe both solid and fluid domains in a single set of governing equations. The accuracy of the method has been assessed on several academic cases, involving stationary or moving bodies and with different mesh resolutions. The predicted forces on the solid are in excellent agreement with body-fitted reference cases. The system of equations is also proven to be fully mass conservative. Application of the method on a two-dimensional vertical axis turbine case shows a reduction in computational cost compared to a body-fitted method.
提出了一种新颖的求解运动体流的浸入边界法。该方法结合了(i)固体物体的拉格朗日固体体积描述，避免了守恒问题；（ii）嵌入在低马赫数投影方法中的鲁棒隐式体积惩罚强迫，以解释固体对流体动力学的影响。引入了一种新的复合速度场，可以用一组控制方程来描述固体和流体领域。该方法的准确性已经在几个学术案例中进行了评估，包括静止或运动的物体和不同的网格分辨率。所预测的作用在固体上的力与贴合体的参考情况非常吻合。该方程组也被证明是完全质量保守的。将该方法应用于二维垂直轴水轮机壳体上，得到了30 % $$ 30\% $$ reduction in computational cost compared to a body-fitted method.
期刊介绍：
The International Journal for Numerical Methods in Fluids publishes refereed papers describing significant developments in computational methods that are applicable to scientific and engineering problems in fluid mechanics, fluid dynamics, micro and bio fluidics, and fluid-structure interaction. Numerical methods for solving ancillary equations, such as transport and advection and diffusion, are also relevant. The Editors encourage contributions in the areas of multi-physics, multi-disciplinary and multi-scale problems involving fluid subsystems, verification and validation, uncertainty quantification, and model reduction.
Numerical examples that illustrate the described methods or their accuracy are in general expected. Discussions of papers already in print are also considered. However, papers dealing strictly with applications of existing methods or dealing with areas of research that are not deemed to be cutting edge by the Editors will not be considered for review.
The journal publishes full-length papers, which should normally be less than 25 journal pages in length. Two-part papers are discouraged unless considered necessary by the Editors.
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