A fictitious domain/finite element method for particulate flows
A fictitious domain/finite element method for particulate flows
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DOI：
10.1016/s0021-9991(03)00349-8
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发表时间：
2003-11
影响因子：
4.1
通讯作者：
C. Diaz-Goano;P. Minev;K. Nandakumar
中科院分区：
文献类型：
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作者：
C. Diaz-Goano;P. Minev;K. Nandakumar
本文提出了一种直接数值模拟含悬浮刚性颗粒的三维不可压缩流体流动的有限元方法。它采用虚拟域方法将流体域扩展到粒子所占据的域。虽然本公式的思想来自Glowinski等人的虚拟域公式[J]。第一版。它最终产生了一种新的方案，它允许更有效地整合方程组，并且更容易在算法上实现。它还避免了对刚性粒子网格化的需要，并在单个欧拉网格上解决了整个问题。空间离散化是用P2 - p1有限元进行的，但可以使用任何其他稳定的近似对。将该方案与基于Glowinski等人[loc]方法的二阶方案进行了比较。用粘性液体中单个球体的测试案例。其精度/性价比极佳。
The paper presents a finite element method for the direct numerical simulation of 3D incompressible fluid flows with suspended rigid particles. It uses the fictitious domain approach extending the fluid domain into the domain occupied by the particles. Although the idea for the present formulation came from the fictitious domain formulation of Glowinski et al. [J. Comput. Phys. 169 (2001) 363] it finally yielded a new scheme which allows for a more efficient integration of the system of equations and which is easier to implement algorithmically. It also avoids the need to grid the rigid particles and solves the entire problem on a single Eulerian grid. The spatial discretization is performed with P2−P1finite elements but any other stable pair of approximations can be used. The present scheme is compared to a second order scheme based on the approach in Glowinski et al. [loc. cit.] using the test case of a single sphere in a viscous liquid. Its accuracy/costs performance is excellent.