A Novel Approach of Unsteady Adjoint Lattice Boltzmann Method Based on Circular Function Scheme

Khouzani, Hamed Jalali; Moghadam, Ramin Kamali

doi:10.1007/s10915-020-01318-6

Cited by 5 publications

(1 citation statement)

References 31 publications

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“…Recently, Ref. 212 used this circular function in the development of their adjoint LBM approach, to include the compressibility effects of inviscid unsteady flows. Similar to the circular function method, Ref.…”

Section: Fundamental Framework Of Lattice Boltzmann Methodsmentioning

confidence: 99%

Recent progress of lattice Boltzmann method and its applications in fluid-structure interaction

Wang

Liu

Rajamuni

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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Fluid-structure interaction (FSI) is a very common physical phenomenon which extensively exists in nature, human daily life and many engineering applications. The lattice Boltzmann method (LBM) is an alternative of solving Navier–Stokes equations to obtain complex fluid dynamics. Since the proposal of lattice Bhatnagar–Gross–Krookmodel, the LBM has been improved and applied to various complex flows ranging from laminar flow to turbulent flow and Newtonian flow to non-Newtonian flow. To handle the associated FSI, the bounce-back scheme was proposed and then the immersed boundary method (IBM) was incorporated into the LBM for the simplicity and robustness of IBM in handling complex and moving geometries and the significant efficiency of LBM in solving fluid dynamics. In recent years, the combined frameworks of LBM, that is, bounce-back–lattice Boltzmann method and immersed boundary–lattice Boltzmann method have witnessed a significant development and the successful applications can be found in a range of physical problems such as flow around bluff bodies, flapping wings, wind turbines, aeroacoustics, sea wave modelling and et al. In this paper, the recent progress of LBM and some typical applications involving FSI are reviewed.

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Section: Fundamental Framework Of Lattice Boltzmann Methodsmentioning

confidence: 99%

Recent progress of lattice Boltzmann method and its applications in fluid-structure interaction

Wang

Liu

Rajamuni

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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Airfoil inverse design based on laminar compressible adjoint lattice Boltzmann method

Khouzani

Kamali-Moghadam

2023

Numerical Methods in Fluids

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A new optimization techniques based on the adjoint lattice Boltzmann method is derived for airfoil inverse design in laminar compressible flows. In this study, the developed adjoint lattice Boltzmann scheme based on the circular function (CF) is extended for airfoil inverse design problems in laminar incompressible and compressible flows. New mathematical derivation based on compressible lattice Boltzmann equations (LBE) is developed which can find target shape of an airfoil with available desired pressure distribution. The adjoint lattice Boltzmann method is extended for both the incompressible and compressible flows by selecting the circular function idea for calculating the equilibrium distribution functions. So, the adjoint equation is also expanded based on CF idea for calculation of objective function gradient vector. The steepest decent technique is utilized as gradient optimizer. Also, a novel solution is presented to remove singularity problem of the adjoint boundary condition. In order to validate the developed optimization algorithm, results are presented for both incompressible and compressible inverse problem in steady and unsteady flow and accurate results are obtained.

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Adjoint-based shape optimization for compressible flow based on volume penalization method

Liu,

Hasegawa

2024

Engineering with Computers

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Reducing the resistance of compressible flow around a blunt body is of great interest in engineering applications, while an efficient shape optimization method for compressible flows remains far from well established, especially for high Mach numbers. To this end, a volume penalization method for simulating compressible flows past a no-slip and isothermal solid is established by introducing an artificial body force and a heat sink into the governing equations. The level-set functions are introduced as design variables, and the cost functional is defined as the total drag acting on the solid. Then, a continuous adjoint-based shape optimization algorithm for drag reduction is developed by deriving the adjoint equations, the adjoint boundary conditions, and the shape update formula. Both the forward and adjoint simulations are verified by existing studies. The results show that the relative deviations of the drag coefficients obtained in the present study from those reported in the reference studies are around 5% at most, and also a comparable drag reduction rate and also optimal shapes can be reproduced by the present optimization scheme for benchmark problems at relatively low Mach numbers considered in previous studies. Finally, the present method is applied to shape optimization of an initially two-dimensional cylinder and also a three-dimensional sphere in the transonic regime of Ma∞ = 1.2. The drag reduction of over 20% is achieved for both two-dimensional and three-dimensional cases.

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A Novel Approach of Unsteady Adjoint Lattice Boltzmann Method Based on Circular Function Scheme

Cited by 5 publications

References 31 publications

Recent progress of lattice Boltzmann method and its applications in fluid-structure interaction

Recent progress of lattice Boltzmann method and its applications in fluid-structure interaction

Airfoil inverse design based on laminar compressible adjoint lattice Boltzmann method

Adjoint-based shape optimization for compressible flow based on volume penalization method

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