An Immersed Boundary Method for Simulation of Moving Object in Fluid Flow
Main Article Content
Abstract
Numerical modelling for the interaction between fluid flow interacting and moving object is a quite complicated problem in computational engineering. Such modelling requires solving simultaneously Navier–Stokes equation for fluid flow and Newton equation for object motion. Due to the motion, computational mesh needs to be re-generated in every time step, making the modelling complicated and time consuming. In this paper, we introduce a numerical method which utilizes immersed boundary to represent motion of solid object under effect of 3-dimension fluid flow. In the current method, we developed a numerical method for enforcing viscous boundary conditions on the immersed boundary. The method was validated and applied to simulate the inertial focusing of solid particle in spiral channel, obtained result well matches with experimental observation indicating the accuracy of the developed method.
Keywords
Immersed boundary method, Newton equations, Inertial sorting, Dean flow
Article Details
References
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[2] M. Braza, P. Chassaing, and H. Ha Minh (1986). “Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder”. J. Fluid. Mech., 165:79–130.
[3] C. Liu, X. Sheng, and C. H. Sung (1998). “Preconditioned multigrid methods for un- steady incompressible flows”. J. Comput. Phys., 139:35–57.
[4] C. S. Peskin (2002). “The immersed boundary method”. Acta Numerica, 11(2):479–517.
[5] M. C. Lai and C. S. Peskin (2000). “An immersed boundary method with formal second order accuracy and reduced numerical viscosity”. J. Comput. Phys., 160:707–71.
[6] Guan, G. et al. (2013) “Spiral microchannel with rectangular and trapezoidal cross-sections for size based particle separation”. Sci. Rep. 3, 1475.