|
[1] T. Ye, R. Mittal, H.S. Udaykumar, W. Shyy, An accurate Cartesian grid
method for viscous incompressible flows with complex immersed boundaries.
J. Comput. Phys. 156 (1999): 209-240.
[2] R.J. LeVeque, Z. Li, The immersed interface method for elliptic equations
with discontinuous coefficients and singular sources. Siam J. Number. Anal.
1994 156:209
[3] R.J. LeVeque, Z. Li, The immersed interface method for eStokes flow with
elastic boundaries or surface tension. Siam J. Dci. Comput. 1997 18:709.
[4] D. Calhoun, A Cartesian grid method for solving the two-dimensional
streamfunction-vorticity equations in irresgular regions. J. Comp. Phys. 2002
176:231
[5] Z. Li, M.C. Lai, The ommersed interface method for the Navier-Stokes
equations with singular forces. J. Comp. Phys. 2001 171:822
[6] Z. Li, An overview of the immersed interface method and its applications.
Twaiwanese J. Math 2003 7:1
[7] C.S. Peskin, Flow patterns around heart valves: a numerical method. J. Comp.
Phys. 1972 10:252
[8] C.S. Peskin, The fluid dynamics of heart valves: Experimental, theritiacal and
computational methods. Annual Review of Fluid Mechanics 1982 14:235
[9] R.P. Beyer, R.L. LeVeque, Analysis of a one-dimensional model for the
immersed boundary method. Siam J. Number Anal. 1992 29:332
[10] M.C. Lai, C.S. Peskin, An immersed boundary method with formal second
order accuracy and reduced numerical viscosity. J. Comp. Phy. 2000 160:705
[11] D. Glodstein, R. Handler, L. Sirovich, Modeling a no-slip flow with an external
force field. J. Comp. Phys. 1993 105:354
[12] D. Glodstein, R. Handler, L. Sirovich Direct numerical simulation of turlent
flow over a modeled riblet covered surface. J. Fluid Mech. 1995 302:333
[13] L.E. Silva, A. Silveira-Neto, J.J.R. Damasceno, Numerical simulation of twodimensional
flow over a circular cylinder using the immersed boundary method.
J. Comp. Phys. 2003 189:351
[14] E.M. Saiki, S. Biringen, Numerical simulation of a cylinder in uniform flow :
application of a virtual boundary method. J. COmp. Phys. 1996 123:450
[15] R. Mittal, G. Iaccarino, Immersed boundary methods. Annual Review of Fluid
Mechanics 2005 37:239-261
[16] J. Mohd-Yusof, Combined immersed boundary/B-Spline method for
simulationsof flows in complex geometries in complex geometries CTR annual
research briefs. NASA Ames/Stanford University; 1997
[17] R. Verzicco, J.Mohd-Yusof, P.Orlandi, D. Haworth, LES in complex geometries
using boundary body forces. AIAA Journal 2000; 38:427-433
[18] E.A. Fadlum, R. Verzicco, P. Orlandi, J. Mohd-Yusof, Combined immersed
boundary methods for three dimensional complex flow simulations. J. Comp.
Phys. 2000;161:30
[19] E. Balaras, Modeling complex boundaries using an external force field on fixed
Cartesian grids in large-eddy simulations, Computer and Fluids 2004;33:375-
404
[20] Y.H. Tseng, J.H. Ferziger, A ghost-cell immersed boundary boundary method
for flow in complex geometry. J. Comp. Phys. 2003; 192:593
[21] J. Kim, D. Kim, H. Choi, An immersed boundary finite volume method for
simulations of flow in complex geometries. J. Comp. Phys. 2001;171:132
[22] S.W. Su, M.C. Lai, C.A. Lin, A simple immersed boundary technique for
simulating amplex flows with rigid boundary. Com. and Fluids 2007;36:313-
324
[23] J. Yang, E. Balaras, An embedded-boundary formulation for large-eddy
simulation of turbulent flows interacting with moving boundaries. J. Comp.
Phys. 2006;215:12-24
[24] M. Tyagi, S. Acharya, Large eddy simulation of turbulent flows in complex
and moving rigid geometries using the immersed boundary method. J. Numer.
Meth. Fluids 2005;48:691-722
[25] H.S. Udaykumar, R. MIttal, W. Shyy, Computation of solid-liquid phase fronts
in the sharp interface limit on fixed grids, J. Comp. Phys. 1999;535-574
[26] H.S. Udaykumar, R. MIttal, P. Rampunggoon, A. Khanna, A sharp interface
Cartesian grid method for simulating flows with complex moving boundaries.
J. Comp. Phys. 2001;174:345-380
[27] S. Marella, S. Krishnan, H. Liu, H.S. Udaykumar, Sharp interface Cartesian
grid method I: An easily implemented technique for 3D moving boundary
computations. J. Comp. Phys. 2005;210:1-31
[28] D. Kim, H. Choi, Immersed boundary method for flow around an arbitrarily
moving body. J. Comp. Phys. 2006;212:662-680
[29] S. Xu, Z.J.Wang, An immersed interface method for simulating the interaction
of a fluid with moving boundaries. J. Comp. Phys. 2006;216:454-493
[30] R. Glowinski, T.W. Pan, T.I. Hesla, D.D. Joseph, J. Periaux, A fictious domain
approach to the direct numerical simulation of imcompressible viscous flow past
moving rigid bodies: application to particulate flow, J. Comp. Phys. 169 2001
363-426
[31] Z.G. Feng, E.E. Michaelides, The immersed boundary-lattice Boltzmann
method for solving fluid-particles interaction problems. J. Comp. Phys. 195
2004 602-628
[32] J. Yang, F. Stern, A sharp interface direct forcing immersed boundary approach
for fully resolved simulations of particulate flows. Journal of Fluids Engineering
Vol.136 040904-1
[33] W.P. Breugem, 2012, A Second-Order Accurate Immersed Boundary Method
for Fully Resolved Simulations of Particle-Laden Flows, J. Comp. Phys.,
231(13), pp. 4469-4498.
[34] Z. Li, C. Wang. A Fast Finite Differenc Method For Solving Navier-Stokes
Equations on Irregular Domains. Comm. Math. Sci. 1 (2003): 180-196.
[35] D.V Le, B.C. Khoo, J. Peraire. An immersed interface method for the
incompressible Navier-Stokes equations in irregular domains, Proceedings of
the third MIT conference on computational fluid and solid mechanics, 710,
Elsevier Science, Jane 2005.
[36] D. Russell, Z.J. Wang. A Cartesian grid method for modeling multiple moving
objects in 2D incompressible viscous flow. J. Comput. Phys. 191 (2003): 177-
205.
[37] M. Schafer, S. Turek. The benchmark problem flow around a cylinder. In Flow
Simulation with High-Performance Computer II, Hirschel EH (ed.). Notes in
Numerical Fluid Mechanics, 52(Vieweg, Braunschweig, 1996) 547-566.
[38] D.J. Chen, K.h. Lin, C.A. Lin, Immersed boundary method based lattice
Boltzmann method to simulate 2d and 3d complex geometry flows, Int. J.
Mod. Phys. C 18 (2007) 585-594.
[39] J.I. Choi, R.C. Oberoi, J.R. Edwards, K.A. Rosati, An immersed boundary
method for complex incompressible flows, J. Comput. Phys. 244 (2007) 757-
784.
[40] H. Dutsch, F. Durst, S. Becker, H. Lienhart, Lowe-Reynolds-number flow
around an oscillating circular cylinder at low Keulegan-Carpenter numbers.
J. Fluid Mech. 360 (1998) 249-271.
[41] A. ten Cate, C.H. Nieuwstad, J.J. Derksen, H.E. A Van den Akker, Particle
imaging velocimetry experiments and lattice-Boltzmann simulations on a single
sphere settling under gravity. Phys. Fluids 14 (2002) 4012-4025.
[42] Z.G. Feng, E.E. Michaelides, Proteus: a direct forcing method in the
simulations of particulate flows, J. Comput. Phys. 202 (2005) 251.
[43] A.J.C. Ladd, Sedimentation of homogeneous suspensions of non-Brownian
spheres, Phys. Fluids 9, 491 (1977).
[44] C.E. Pearson, A computational method for time dependent two
dimensional incompressible viscous flow problems Report No. SRRC-RR-64-
17. Sudbury(MA): Sperry Rand Reasearch Center; 1964.
[45] C.C. Liao, Y.W. Chang, C.A. Lin and J.M. McDonough, “Simulating flows
with moving rigid boundary using immersed-boundary method.“ Computers
& Fluids, Vol 39, 2010, pp.152-167.
[46] P.H. Chang, C.C. Liao , H.W. Hsu , S.H. Liu and C.A. Lin, Simulations
of laminar and turbulent flows over periodic hills with immersed boundary
method, Computers and Fluids, Vol 92, 2014, pp. 233-243
[47] H. Choi, P. Moin, Effects of the computational time step on numerical solutions
of turbulent flow, J. Comput. Phys. 113 (1994) 1-4.
[48] J. Kim, P. Moin, Application of a fractional-step method to incompressible
Navier-Stokes equations, J. Comput. phys. 59 (1985) 308-323.
[49] J. B. Bell, P. Colella, H. M. Glaz, A second-order projection method for the
incompressible Navier-Stokes equations, J. Comput. phys. 85 (1989) 257-283.
[50] H.W. Hsu, F.N. Hwang, Z.H. Wei, S.H. Lai, C.A. Lin, A parallel multilevel
preconditioned iterative pressure Poisson solver for the large-eddy simulation
of turbulent flow inside a duct. Computers and Fluids,45 (2011) 138-146.
[51] S. Balay and K. Buschelman and W. D. Gropp and D. Kaushik and
M. G. Knepley and L. C. Mclnnes, PETSc Web page, (2010) < http :
//www.mcs.anl.gov/petsc >.
[52] M.N Chang, A parallel multilevel presondidioned iterative pressure Poisson
solver for 3D lid-driven cavity. Master thesis, Department of Mechanical
Engineering, National Tsing Hua University (2013)
[53] Y. Saad, Iterative methods for sparse linear system. Second ed., Philadelphia:
SIAM (2004).
[54] Acmae El Yacoubi and Sheng Xu and Z. Jane Wang, Computational study of
the interaction of freely moving particles at intermediate Reynolds numbers.
J. Fluid Mech,227 (2012) pp. 13.
[55] Feng J, Hu HH, Joseph DD (1994) Direct simulation of initial value problems
for the motion of solid bodies in a Newtonian fluid. Part 1. Sedimentation. J
Fluid Mech 261:95–134.
[56] Glowinski R, Pan TW, Hesla TI, Joseph DD (1999) A distributed Lagrange
multiplier/fictitious domain method for particulate flows. Int J Multiph Flow
25:755–794.
[57] Uhlmann M (2005) An immersed boundary method with direct forcing for the
simulation of particulate flows. J Comput Phys 209:448–476.
[58] Sharma N, Patankar NA (2005) A fast computation technique for the direct
numerical simulation of rigid particulate flows. J Comput Phys 205:439–457.
[59] Wan D, Turek S (2006) Direct numerical simulation of particulate flow via
multigrid FEM techniques and the fictitious boundary method. Int J Numer
Methods Fluids 51:531–566.
[60] Apte SV, Martin M, Patankar NA (2009) A numerical method for fully resolved
simulation (FRS) of rigid particleflow interactions in complex flows. J Comput
Phys 228:2712–2738.
[61] Wang L, Guo ZL, Mi JC (2014) Drafting, kissing and tumbling process of two
particles with different sizes. Comput Fluids 96:20–34.
[62] Mukundakrishnan K, Hu HH, Ayyaswamy PS (2008) The dynamics of two
spherical particles in a confined rotating flow: pedalling motion. J Fluid Mech
599:169–204.
[63] Shao XM, Liu Y, Yu ZS (2005) Interactions between two sedimenting particles
with different sizes. Appl Math Mech-Engl 26:407–14.
[64] Liao CC, Lin CA (2012) Simulations of natural and forced convection flows with
moving embedded object using immersed boundary method. Comput Methods
Appl Mech Eng 58:213–216.
[65] Balay S, Buschelman K, Gropp WD, Kaushik D, Knepley MG, McInnes LC,
et al. PETSc Web page; 2010. <http://www.mcs.anl.gov/petsc>.
[66] Hsu SW, Hwang FN, Wei ZH, Lai SH, Lin CA (2012) A parallel multilevel
preconditioned iterative pressure Poisson solver for the large-eddy simulation
of turbulent flow inside a duct. Comput Fluids 45:138–146.
[67] ten Cate A, Nieuwstad CH, Derksen JJ, and Van den Akker HEA (2002)
Particle imaging velocimetry experiments and lattice-Boltzmann simulations
on a single sphere settling under gravity. Phys Fluids 14:4012–4025.
[68] Fortes A, Joseph DD, Lundgren TS, Nonlinear mechanics of fluidization of
beds of spherical particles. J Fluid Mech 177 (1987):467–83.
[69] Apte SV, Martin M, Patankar NA, A numerical method for fully resolved
simulation (FRS) of rigid particleflow interactions in complex flows. J Comput
Phys 228 (2009):2712–2738.
[70] L. Wang, Z.L. Guo, J.C. Mi, Drafting, kissing and tumbling process of two
particles with different sizes, Computers & Fluids 96 (2014): 20-34.
[71] Chuan-Chieh Liao, Wen-Wei Hsiao, Ting-Yu Lin, Chao-An Lin, Simulations
of two sedimenting-interacting spheres with different sizes and initial
configurations using immersed boundary method, Comput Mech (2015)
|