가상경계-격자 볼츠만 방법을 이용한 유동장내 나노/마이크로 입자에 작용하는 힘의 해석
Force Analysis on the Nano/Micro Particle in a Flow using Immersed Boundary-Lattice Boltzmann Method
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
Immersed boundary-Lattice Boltzmann Method (IB-LBM) is used for the analysis of flow over the circular cylinder in the concept of fluid-structure interaction analysis (FSI). Recently, IB-LBM has shown the enormous pos- sibility for the application of various biomedical engineering fields, such as the movement of a human body or the behavior of the blood cells and/or particle-based drug delivery system in blood vessels. In order for the numerical analysis of the interaction between fluid and solid object, immersed boundary method and lattice Boltzmann method are coupled to analyze the flow over a cylinder for low Reynolds laminar flow (Re=10, 20, 40 and 100) with Zhu- He boundary condition at the boundary. With the developed IB-LBM, the flow around the cylinder in the uniform flow is analyzed for the laminar flow and the drag and lift coefficients and recirculation length are compared to the previous results.
Abstract
Immersed boundary-Lattice Boltzmann Method (IB-LBM) is used for the analysis of flow over the circular cylinder in the concept of fluid-structure interaction analysis (FSI). Recently, IB-LBM has shown the enormous pos- sibility for the application of various biomedical engineering fields, such as the movement of a human body or the behavior of the blood cells and/or particle-based drug delivery system in blood vessels. In order for the numerical analysis of the interaction between fluid and solid object, immersed boundary method and lattice Boltzmann method are coupled to analyze the flow over a cylinder for low Reynolds laminar flow (Re=10, 20, 40 and 100) with Zhu- He boundary condition at the boundary. With the developed IB-LBM, the flow around the cylinder in the uniform flow is analyzed for the laminar flow and the drag and lift coefficients and recirculation length are compared to the previous results.
참고문헌 (43)
- Kweon J, "Sectional lift coefficient of a flapping wing in hovering motion", Phys. Fluids, 22(7), pp.071703~ (2010)
- Farhat C, "Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity", Comput. Methods Appl. Mech. Eng, 195(17-18), pp.1973~2001 (2006)
- Strychalski W, "A poroelastic immersed boundary method with applications to cell biology", J. Comput. Phys, 282, pp.77~97 (2015)
- Ferrari M, "Cancer nanotechnology: opportunities and chal-lenges", Nat. Rev. Cancer, 5(3), pp.161~171 (2005)
- Lee S-Y, "Shaping nano-", micro-parti-cles for enhanced vascular interaction in laminar flows, 2009, pp.20(49), 495101~
- Lee T-R, "On the near-wall accumulation of injectable particles in the microcirculation: smaller is not better", Sci. Rep, 3(1), pp.1~8 (2013)
- Liu H, "A numerical study of undulatory swim-ming", J. Comput. Phys, 155(2), pp.223~247 (1999)
- Namkoong K, "Computation of dynamic fluid–structure interaction in two-dimensional laminar flows using combined formulation", J. Fluids Struct, 20(1), pp.51~69 (2005)
- Bavo AM, "Fluid-structure interaction simulation of pros-thetic aortic valves: comparison between immersed boundary and arbitrary Lagrangian-Eulerian techniques for the mesh representation", PloS one, 11(4), pp.0154517~ (2016)
- Peskin CS, "The immersed boundary method", Acta numer, 11, pp.479~517 (2002)
- Mohd-Yusof J, "For simulations of flow in complex geome-tries", Ann. Res. Briefs, 317, pp.35~ (1997)
- Uhlmann M, "An immersed boundary method with direct forcing for the simulation of particulate flows", J. Comput. Phys, 209(2), pp.448~476 (2005)
- Lee S-Y, "Design of bio-mimetic particles with enhanced vascular interaction", J. Biomech, 42(12), pp.1885~1890 (2009)
- McNamara GR, "Use of the Boltzmann equation to simulate lattice-gas automata", Phys. Rev. Lett, 61(20), pp.2332~ (1988)
- Yu D, "Viscous flow computations with the method of lattice Boltzmann equation", Prog. Aerosp. Sci, 39(5), pp.329~367 (2003)
- Schmieschek S, "LB3D: A parallel implementation of the Lattice-Boltzmann method for simulation of interacting amphi-philic fluids", Comput. Phys. Commun, 217, pp.149~161 (2017)
- Feng Z-G, "The immersed boundary-lattice Boltzmann method for solving fluid–particles interaction problems", J. Comput. Phys, 195(2), pp.602~628 (2004)
- Niu X, "A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating incompressible viscous flows", Phys. Lett. A, 354(3), pp.173~182 (2006)
- Dupuis A, "An immersed boundary–lattice-Boltzmann method for the simulation of the flow past an impulsively started cylinder", J. Comput. Phys, 227(9), pp.4486~4498 (2008)
- Wu J, "Implicit velocity correction-based immersed boundary-lattice Boltzmann method and its applications", J. Comput. Phys, 228(6), pp.1963~1979 (2009)
- Kang SK, "A comparative study of direct-forcing immersed boundary-lattice Boltzmann methods for stationary complex boundaries", Int. J. Numer. Methods Fluids, 66(9) (2011)
- Wang Z, Fan J, Luo K, "Combined multi-direct forcing and immersed boundary method for simulating flows with mov-ing particles", Int. J. Multiph. Flow, 34(3), pp.283~302 (2008)
- Champion JA, "Particle shape: a new design parameter for micro-and nanoscale drug delivery carriers", J. Control. Release, 121(1-2), pp.3~9 (2007)
- Tasciotti E, "Mesoporous silicon particles as a multistage delivery system for imaging and therapeutic applications", Nat. Nano-technol, 3(3), pp.151~157 (2008)
- Zhang Q, "DNA origami as an in vivo drug delivery vehicle for cancer therapy", ACS nano, 8(7), pp.6633~6643 (2014)
- 이세영, "Analysis of Force Acting on the Non-Spherical Particle Near a Wall", Biomedical Engineering Letters (BMEL), 5(4), pp.289~295 (2015), 대한의용생체공학회[DOI]
- Mohamad A, "Lattice Boltzmann Method" (2011), Springer
- 조홍주, "가상 경계 격자 볼츠만 방법을 이용한 2차원 원형실린더 주변 유동 분석 및 검증", 연세대학교, ~ (2020)
- Lattice Boltzmann method for fluid sim-ulations, "Bao YB", Department of Mathematics, Courant Institute of Mathematical Sciences, New York University, 44~ (2011)
- Fang J, "Towards oscil-lation-free implementation of the immersed boundary method with spectral-like methods", J. Comput. Phys, 230(22), pp.8179~8191 (2011)
- Yang X, "A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations", J. Comput. Phys, 228(20), pp.7821~7836 (2009)
- Guo Z, "Discrete lattice effects on the forcing term in the lattice Boltzmann method", Phys. Rev. E, 65(4), pp.046308~ (2002)
- Zou Q, "On pressure and velocity boundary conditions for the lattice Boltzmann BGK model", Phys. Fluids, 9(6), pp.1591~1598 (1997)
- Rohde M, "A generic, mass conservative local grid refinement technique for lattice-Boltzmann schemes", Int. J. Numer. Methods Flu-ids, 51(4), pp.439~468 (2006)
- Cai Y, "An improved immersed boundary-lattice Boltzmann method based on force correction technique", Int. J. Numer. Methods Fluids, 87(3), pp.109~133 (2018)
- Dennis S, "Numerical solutions for steady flow past a circular cylinder at Reynolds numbers up to 100", J. Fluid Mech, 42(3), pp.471~489 (1970)
- Nieuwstadt F, "Viscous flow past circular cylinders", Comput Fluids, 1(1), pp.59~71 (1973)
- He X, "Lattice Boltzmann method on curvilinear coordinates system: flow around a circular cylinder", J. Com-put. Phys, 134(2), pp.306~315 (1997)
- Pepona M, "A coupled Immersed Boundary–Lattice Boltzmann method for incompressible flows through moving porous media", J. Comput. Phys, 321, pp.1170~1184 (2016)
- Tritton DJ, "Experiments on the flow past a circular cylinder at low Reynolds numbers", J. Fluid Mech, 6(4), pp.547~567 (1959)
- Nishioka M, "Measurements of velocity distributions in the wake of a circular cylinder at low Reynolds numbers", J. Fluid Mech, 65(1), pp.97~112 (1974)
- Tao S, "A non-iterative immersed boundary-lattice Boltzmann method with boundary condition enforced for fluid–solid flows", Appl. Math. Model, 76, pp.362~379 (2019)
- Kim DK, "Inertial effects on cylindrical particle migration in linear shear flow near a wall", Microfluid. Nanofluidics, 20(5), pp.1~10 (2016)
