[1] Enoksson O (2000) Shape optimization in compressible inviscid flow. Licentiate thesis LiU-TEK-LIC-2000:31, Department of Mathematics, Linkopings Universitet.

[2] Kim DW, Kim MU (1995) Minimum drag shape in two-dimensional viscous flow. Int J Numer Meth Fl 21(2): 93-111.

[3] Pironneau O (1973) On optimum profiles in Stokes flow. Int J Eng Fluid Mech 59: 117-128.

[4] Pironneau O (1974) On optimum design in fluid mechanics. Int J Eng Fluid Mech 64: 97-110.

[5] Glowinski R, Pironneau O (1975) On the numerical computation of the minimum-drag profile in laminar flow. J Fluid Mech 72: 385-389.

[6] Çabuk H, Modi V (1992) Optimum plane diffusers in laminar flow. J FLUID MECH 237: 373-393.

[7] Jameson A (1988) Aerodynamic design via control theory. J Sci Comput 3: 233-260.

[8] Ivorra B, Hertzog DE, Mohammadi B, Santiago JG (2005) Semi-deterministic and genetic algorithms for global optimization of microfluidic protein-folding devices. Int J Numer Meth Eng 66(2): 319-333.

[9] Molho JI, Herr AE, Mosier BP, Santiago JG, Kenny TW, Brennen RA, Gordon GB, Mohammadi B (2001) Optimization of turn geometries for microchip electrophoresis. Anal Chem 73: 1350-1360.

[10] Mohammadi B, Pironneau O (2001) Applied shape optimization for fluids. Numer Math Sci Comput. Oxford University Press, New York.

[11] Mohammadi B, Pironneau O (2004) Shape optimization in fluid mecha-nics. Annu Rev Fluid Mech 36: 255-279.

[12] Borrvall T, Petersson J (2003) Topology optimization of fluids in stokes flow. Int J Numer Meth Fl 41: 77-107.

[13] Yonekura K, Kanno Y (2015) A flow topology optimization method for steady state flow using transient information of flow field solved by lattice Boltzmann method. Struct Multidiscip Optim 51: 159-172.

[14] Yonekura K, Kanno Y (2016) Erratum to: A flow topology optimization method for steady state flow using transient information of flow field solved by lattice Boltzmann method. Struct Multidiscip Optim 54: 193-195.

[15] Gersborg-Hansen A, Sigmund O, Haber RB (2005) Topology optimization of channel flow problems. Struct Multidiscip Optim 30: 92-181.

[16] Othmer C (2006) CFD topology and shape optimization with adjoint methods. VDI Fahrzeug-und Verkehrstechnik, 13. International congress, Berechnung und Simulation im Fahrzeugbau, Würzburg.

[17] Othmer C, de Villiers E, Weller HG (2007) Implementation of a continuous adjoint for topology optimization of ducted flows.18th AIAA Computational Fluid Dynamics Conference. Miami, FL: AIAA.

[18] Pingen G, Evgrafov A, Maute K (2007) Topology optimization of flow domains using the lattice Boltzmann method. Struct Multidiscip Optim 34: 507-524.

[19] Pingen G, Evgrafov A, Maute K (2009) Adjoint parameter sensitivity analysis for the hydrodynamic lattice Boltzmann method with applications to design optimization. Comput Fluids 38: 910-923.

[20] Pingen G, Maute K (2010) Optimal design for non-Newtonian flows using a topology optimization approach. Comput Math Appl 59: 2340-2350.

[21] Succi S (2001) The lattice Boltzmann equation: for fluid dynamics and Beyond. Oxford University Press.

[22] Mattila K, Hyväluoma J, Timonen J, Rossi T (2008) Comparison of implementations of the lattice-Boltzmann method. Comput Math Appl 55: 1514-1524.

[23] Succi S, Foti E, Higuera F (1989) Three-dimensional flows in complex geometries with the lattice Boltzmann method. Europhysics Letters 10: 433-438.

[24] Langass K, Grubert D, Pet J (1999) Lattice Boltzmann simulations of wetting and its application to disproportionate permeability reducing gel. J Petrol Sci Eng 24: 199-211.

[25] Bernsdorf J, Bernner G, Durst F (2000) Numerical analysis of the pressure drop in porous media flow with lattice Boltzmann (BGK) automata. Comput Phys Commun 129: 247-255.

[26] Kim J, Lee J, Lee KC (2001) Nonlinear correction to Darcy's law for a flow through periodic arrays of elliptic cylinders. Physica A 293: 13-20.

[27] Dabirpour V, Mohammadipour O (2019) Numerical investigation of convection around heated circular cylinder wrapped with Bi-Disperse porous medium in channel. Modares Mechanical Engineering 19 (3): 539-548.

[28] Zhou T, Liu T, Deng Y, Chen L, Qian S, Liu Z  (2017) Design of microfluidic channel networks with specified output flow rates using the CFD based optimization method. Microfluid Nanofluidics 21: 1-8.

[29] Bejan A, Zane JP (2012) Design in nature:      How the constructal law governs equation in Biology, Physics, Technology, and Social Organization.

[30] Allaire G (1990) Homogenization of the       Navier-Stokes equations in open sets perforated with tiny holes. I. Abstract framework, a volume distribution of holes. Arch Ration Mech Anal 113: 209-259.

[31] Brinkmann HC (1947) A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles. Appl Sci Res 1: 1-27.

[32] Bhatnagar PL, Gross EP, Krook M (1954) A Model for collision processes in gases. I.          Small Amplitude Processes in Charged and   Neutral One-Component Systems. Phys Rev 94: 511-525.

[33] He X, Luo L-S (1997) Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation. Phys Rev E 56(6): 6811-6817.

[34] Guo Z, Zhao TS (2002) Lattice Boltzmann model for incompressible flows through porous media. Phys Rev 66: 036-304.

[35] Mohammadipour OR, Succi S, Niazmand H (2018) General curved boundary treatment for two- and three-dimensional stationary and moving walls in flow and nonflow lattice Boltzmann simulations. Phys Rev E 98(2): 233041-16.

[36] Chen S, Doolen GD (1998) Lattice Boltzmann method for fluid flows. Annu Rev Fluid Mech 30: 329-364.

[37] Mohamad AA (2011) Lattice Boltzmann method: Fundamentals and Engineering Applications with Computer Codes. Springer Science & Business Media 72-80.