IMPLICIT METHOD FOR THE COMPUTATION OF UNSTEADY FLOWS ON UNSTRUCTURED GRIDS
IMPLICIT METHOD FOR THE COMPUTATION OF UNSTEADY FLOWS ON UNSTRUCTURED GRIDS
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DOI：
10.1006/jcph.1996.0182
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发表时间：
1995-06
影响因子：
4.1
通讯作者：
V. Venkatakrishnan;D. Mavriplis
中科院分区：
文献类型：
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作者：
V. Venkatakrishnan;D. Mavriplis
提出了一种在非结构网格上计算非定常流动的隐式方法。以下的时间导数的有限差分近似，由此产生的非线性方程组求解，在每个时间步长，通过使用凝聚多重网格程序。该方法允许任意大的时间步长，并且在计算工作量和存储方面是有效的。计算了无粘和粘性非定常流动，以验证该方法的有效性。质量矩阵的顶点中心有限体积格式所产生的问题得到解决。本公式允许质量矩阵间接反演。一个网格点的移动和重新连接的过程中描述，允许网格的发展与运动的机构。作为相对运动物体绕流的一个例子，计算了展开过程中多段翼型系统的绕流。
An implicit method for the computation of unsteady flows on unstructured grids is presented. Following a finite difference approximation for the time derivative, the resulting nonlinear system of equations is solved at each time step by using an agglomeration multigrid procedure. The method allows for arbitrarily large time steps and is efficient in terms of computational effort and storage. Inviscid and viscous unsteady flows are computed to validate the procedure. The issue of the mass matrix which arises with vertex-centered finite volume schemes is addressed. The present formulation allows the mass matrix to be inverted indirectly. A mesh point movement and reconnection procedure is described that allows the grids to evolve with the motion of bodies. As an example of flow over bodies in relative motion, flow over a multi-element airfoil system undergoing deployment is computed.