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Central Difference Finite Volume Lattice Boltzmann Method for Simulation of Incompressible Electro-Magneto-Hydrodanamic Flows

Taheri, Sina | 2015

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 47675 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Hejranfar, Kazem
  7. Abstract:
  8. In the present study, the simulation of incompressible Electro-Magneto-hydrodynamic flows is performed using a finite volume lattice Boltzmann method (FVLBM). The Boltzmann transport equation is solved using a cell-centered finite volume method on structured meshes. A central difference scheme is used to discretize the spatial derivatives and the fourth-order numerical dissipation term is added to stabilize the solution. To discretize the temporal derivative, the fourth-order Runge-Kutta time stepping scheme is applied. The standard collision-streaming lattice Boltzmann method has been used to simulate EMHD flows in the literature, however, it has several deficiencies such as the difficulties in handling curved boundaries and the instability arising in the solution in high Reynolds numbers. The finite volume scheme provides a simple and efficient algorithm to handle curved geometries without the mapping. Therefore, the simplicity of the lattice Boltzmann method to simulate EMHD flows and the capability of finite volume scheme to handle curved geometries are combined to describe the complicated behavior of conductive fluids under the influence of Electro-Magnetic fields. One of the useful applications of EMHD is the flow control strategies in sea vehicles. The main focus in this field is to prevent the separation, delay the transition and reduce the skin-friction drag in turbulent flows. In this study, by developing a two-dimensional FVLBMsolver, the influence of electromagnetic flow control on the separation postponement and the drag reduction is studied. It has been shown that the FVLBM method is a simple and efficient tool to simulate electro-magnetic flow control problems
  9. Keywords:
  10. Finite Volume Method ; Incompressible Flow ; Flow Control ; Lattice Boltzmann Method ; Electro-Magneto-Hydrodynamic Flow

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