Lattice Boltzmann simulation for high-speed compressible viscous flows with a boundary layer

Qiu, Ruofan; You, Yancheng; Zhu, Chengxiang; Chen, Rong-Qian

doi:10.1016/j.apm.2017.03.016

Cited by 25 publications

(12 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Due to the molecular variables of a high speed and altitude fluid differing from continuum molecular variables, the use of a more fundamental physical description must be adopted. The Boltzmann equation has been utilised in several research studies [9][10][11][12][13][14][15][16][17], all highlighting the potential of a novel Boltzmann solver due to its accurate use in both rarefied atmospheric conditions at hypersonic speed and more typical, low-speed atmospheric conditions. However, to the authors knowledge, no other Boltzmann-BGK based hypersonic CFD solver has been utilised for space shuttle geometry optimisation except that of Evans, et al [9,10].…”

Section: Introductionmentioning

confidence: 99%

Computational Aerodynamic Optimisation of a 2D Space-Shuttle Geometry

Thomas¹,

Benjamin²

2019

Int J Astronaut Aeronautical Eng

View full text Add to dashboard Cite

The need for cost minimisation in astronautical engineering, to help make human kind an interplanetary species, is not just limited to the flight and manufacturing of spacecraft. Hypersonic aerodynamic optimisation has been an expensive and time-consuming necessity since the beginning of the Apollo missions. A Boltzmann-BGK solver developed at Swansea University is utilised in this research. Firstly, a study was undertaken to determine how the results of an arbitrary simulation would vary depending on the number of nodes in the velocity space mesh, with the higher nodal number producing a more realistic temperature distribution. The best nodal configuration found was then used to find the best nose geometry for a space shuttle during hypersonic re-entry and ascent. An extension on the geometric variables (an increase in the space-shuttle length) was then simulated to evaluate how this changed drag results compared to an identical nose geometry with a shorter length; the results were found to be identical. Additionally, a study was undertaken to evaluate the effect of extending the outer boundary of the simulation from a half boundary to a full boundary encompassing the entire geometry, focusing on the temperature results, with a focus on the rear of the space shuttle. The full boundary extension was found to only change the temperature distribution at the rear of the geometry, the front portion of the geometry had an identical temperature distribution to the previous half-boundary simulation. Finally, the rear of the fully extended boundary simulation was altered to have a rounded rear, this was found to reduce the temperature distribution protruding from the rear.

show abstract

Section: Introductionmentioning

confidence: 99%

Computational Aerodynamic Optimisation of a 2D Space-Shuttle Geometry

Thomas¹,

Benjamin²

2019

Int J Astronaut Aeronautical Eng

View full text Add to dashboard Cite

show abstract

“…This case has been carried out by the compressible LBM with the nonoscillatory and nonfree‐parameter dissipation (NND) scheme on CPU using DP operation in our previous work . Here, the Riemann problem is simulated using the NND scheme on GPU and CPU with SP and DP operations, respectively.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The supersonic boundary layer problem is a typical case of compressible viscous flows, which are poorly studied in the LBM community. In our previous work, the supersonic boundary layer problem was successfully simulated by the DDF LBM with NND and second‐order upwind schemes on CPU . It is a good case for evaluating GeForce GPU's numerical accuracy for compressible viscous flows.…”

Section: Numerical Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Compressible lattice Boltzmann simulations on high‐performance and low‐cost GeForce GPU

Qiu

Wang

Zhu

et al. 2019

Concurrency and Computation

View full text Add to dashboard Cite

The feasibility of compressible lattice Boltzmann simulations on high-performance and low-cost NVIDIA GeForce GPU is studied to enhance computational efficiency of compressible lattice Boltzmann by using much cheaper computing hardware. The NVIDIA GeForce GTX 1080 GPU, which has similar single precision operation computing performance with NVIDIA scientific computational Tesla K80 GPU and much lower price (seven to ten times) than the latter, is used in this work. The problem of GeForce GPUs is with low double precision operation performance and lack of error-correcting code memory, which will influence the accuracy of compressible lattice Boltzmann simulations. To evaluate its feasibility, the double-distribution-function lattice Boltzmann method is adopted for compressible fluid flows. Three typical compressible problems are tested, ie, the Riemann problem, the regular shock reflection problem, and the supersonic boundary layer problem. The results by GeForce GPU with single precision operation have numerical fluctuations in the simulations with shock waves. Moreover, GeForce GPUs have similar numerical accuracy with CPUs in the regular shock reflection problem and supersonic boundary layer problem. KEYWORDS compressible flows, GPU, lattice Boltzmann method, parallel computing, shock waves INTRODUCTIONThe lattice Boltzmann method (LBM) 1,2 is a promising mesoscopic computational fluid dynamic method. It has been widely applied to various incompressible fluid flow problems, 3-7 and shows great potential for complex phenomena due to its mesoscopic features and highly efficient parallel computing. 8,9 The special streaming-collision scheme and the equilibrium distribution function of the standard LBM make it difficult to describe compressible fluid flows, which are ubiquitous in explosion physics, aerophysics, astrophysics, etc. The solving scheme and the equilibrium distribution function need to be developed for a compressible LBM. The finite-difference scheme, which can solve the problem of the streaming-collision scheme, is popular in the compressible LBM. Kataoka and Tsutahara 10 proposed a compressible model for Navier-Stokes equations, which has an adjustable specific heat ratio. Watari 11 also proposed a model for Navier-Stokes with a flexible specific heat ratio. They are within the low Mach number limit. Qu et al 12 established a lattice Boltzmann (LB) model for inviscid compressible flows, in which a circular function is applied instead of the conventional Maxwellian distribution function. This model has ability for simulation of compressible flows at a high Mach number. Li et al 13,14 introduced Qu et al's model into a coupled double-distribution-function (DDF) LB scheme for compressible flows with adjustable specific heat ratio and Prandtl number. Wang et al 15 presented another DDF LB model for compressible flows with a different total energy distribution function. Chen et al 16,17 proposed a multiple-relaxation-time (MRT) LB model for compressible flows. Gan et al 18 presented a simple and general ap...

show abstract

“…The LBM solves the kinetic equation with a finite number of molecular velocities such that the macroscopic variables obtained from the solution satisfy the desired fluid-dynamic-type equations. The merits of the LBM are the simple basic equation, the linear derivative terms, high resolution for capturing discontinuities like shock waves 2,[5][6][7][8][9][10][11][12][13][14][15][16] and small oscillations like sound waves. [17][18][19][20] Owing to these merits, the LBM is already a matured numerical tool for simulating various flows.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann method for compressible Euler equations based on exact kinetic system

Hanada

Kataoka

2021

Numerical Methods in Fluids

View full text Add to dashboard Cite

We have developed a new type of simple lattice Boltzmann (LB) model for the compressible Euler equations based on the collisionless kinetic-equation approach proposed by Sone. The model uses the collisionless kinetic equation in the streaming process, and modifies the distribution function to its Chapman-Enskog type at each time step. Compared with the current LB models which solve the kinetic equation of the BGK type, the proposed model is superior in the following two points: (i) Inviscid flows can be computed stably while there is no such model in the current LBM; (ii) The velocity distribution function does not need to be memorized in computation. We calculate various inviscid compressible flows described by the compressible Euler equations using our new one-, two-, and three-dimensional models. Numerical results show the capability of our scheme to simulate high-speed supersonic flows with shock waves.

show abstract

Lattice Boltzmann simulation for high-speed compressible viscous flows with a boundary layer

Cited by 25 publications

References 34 publications

Computational Aerodynamic Optimisation of a 2D Space-Shuttle Geometry

Computational Aerodynamic Optimisation of a 2D Space-Shuttle Geometry

Compressible lattice Boltzmann simulations on high‐performance and low‐cost GeForce GPU

Lattice Boltzmann method for compressible Euler equations based on exact kinetic system

Contact Info

Product

Resources

About