Fluid-particle flow: a symmetric formulation |
| |
| Institution: | 1. School of Electrical and Control Engineering, Chang’ an University, Xi''an 710064,China;2. School of Information Engineering, Chang’ an University, Xi''an 710064,China;3. School of Aeronautics and Astronautics Engineering, Air Force Engineering University, Xi''an 710038,China;1. Guangdong Key Laboratory of Intelligent Information Processing, Shenzhen Key Laboratory of Media Security, Guangdong Laboratory of Artificial Intelligence and Digital Economy (SZ), Shenzhen University, Shenzhen 518060, China;2. Shenzhen Institute of Artificial Intelligence and Robotics for Society, Shenzhen 518172, China;1. Key Laboratory of Intelligent Computing & Signal Processing, Ministry of Education, Anhui University, Hefei 230601, PR China;2. School of Computer Science, Fudan University, Shanghai 201203, PR China;3. Anhui Provincial Key Laboratory of Network and Information Security, Wuhu, Anhui 240002, PR China |
| |
| Abstract: | In this Note, we present a numerical method to simulate the motion of solid particles in a moving viscous fluid. The fluid is supposed to be Newtonian and incompressible. The Arbitrary Lagrangian Eulerian formulation of the Navier-Stokes equations is discretized at the first order in time, as are the equations for the solid bodies. The advection term is taken into account by a method of characteristics. The variational formulation of the coupled problem is then established, and the boundary integrals expressing the hydrodynamical forces are eliminated. By introduction of an appropriate Finite Element approximation, a symmetric linear system is obtained. This system is solved by an inexact Uzawa algorithm, preconditionned by a Laplace operator with Neumann boundary conditions on the pressure. Numerical results are presented, for 2 and 100 particles: The Reynolds number in both cases is of the order of 100. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
