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Evaluating stretched grids and introducing black hole layers as alternative non-reflecting buffer zone

机译:评估拉伸的网格并引入黑洞层作为替代的非反射缓冲区

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Grid-stretching is often used close to non-reflecting boundaries in order to under-resolve and dissipate outgoing acoustic waves. The resulting buffer zones may be large and computationally expensive, however, since the stretching factor is strongly limited. Two approaches of implementing grid-stretching are considered: Taylor expansion and transformation in curvilinear coordinates. Besides grid-stretching, a new buffer zone technique is introduced, which allows for larger stretching factors and computationally more efficient buffer zones. The speed of sound is varied locally in the buffer zone resulting in spatial under-resolution of outgoing waves similarly to stretched grids. The approach is derived from the concept of acoustic black holes, a method of reducing reflection of bending waves from edges of physical plates, giving the name black hole layer to the new concept. The approach is verified and the performance of stretched grids and black hole layers is evaluated using a linearized Euler equations solver in two space dimensions for several benchmark flows. The most efficient buffer zone is found to be a combination of grid-stretching using Taylor expansion and black hole layer.
机译:网格拉伸通常在非反射边界附近使用,以充分解决和消散外发声波。但是,由于拉伸因子受到严格限制,因此产生的缓冲区可能很大且计算量很大。考虑了两种实现网格拉伸的方法:泰勒展开和曲线坐标变换。除网格拉伸外,还引入了一种新的缓冲区技术,该技术可允许更大的拉伸因子和计算效率更高的缓冲区。声速在缓冲区中局部变化,导致输出波的空间分辨率不足,类似于拉伸的网格。该方法源自声学黑洞的概念,声学黑洞是一种减少物理板边缘弯曲波反射的方法,将黑洞层称为新概念。对该方法进行了验证,并使用线性Euler方程求解器在二维空间中针对多个基准流,对拉伸网格和黑洞层的性能进行了评估。发现最有效的缓冲区是使用泰勒扩展和黑洞层进行网格拉伸的组合。

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