Close Search Advanced
Journals
Resources
About Us
Open Access

A Hybrid Lattice Boltzmann Flux Solver for Simulation of Viscous Compressible Flows

A Hybrid Lattice Boltzmann Flux Solver for Simulation of Viscous Compressible Flows
Preview
Add to basket

Year:    2016

Author:    L. M. Yang, C. Shu, J. Wu

Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 6 : pp. 887–910

Abstract

In this paper, a hybrid lattice Boltzmann flux solver (LBFS) is proposed for simulation of viscous compressible flows. In the solver, the finite volume method is applied to solve the Navier-Stokes equations. Different from conventional Navier-Stokes solvers, in this work, the inviscid flux across the cell interface is evaluated by local reconstruction of solution using one-dimensional lattice Boltzmann model, while the viscous flux is still approximated by conventional smooth function approximation. The present work overcomes the two major drawbacks of existing LBFS [28–31], which is used for simulation of inviscid flows. The first one is its ability to simulate viscous flows by including evaluation of viscous flux. The second one is its ability to effectively capture both strong shock waves and thin boundary layers through introduction of a switch function for evaluation of inviscid flux, which takes a value close to zero in the boundary layer and one around the strong shock wave. Numerical experiments demonstrate that the present solver can accurately and effectively simulate hypersonic viscous flows.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2015.m1172

Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 6 : pp. 887–910

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    24

Keywords:    Lattice Boltzmann flux solver hybrid 1D lattice Boltzmann model switch function.

Author Details

L. M. Yang

C. Shu

J. Wu

  1. Acoustic multipole source–simplified lattice Boltzmann method for simulating acoustic propagation problems

    Chen, Rongqian | Cao, Shuqi | Liu, Wanhong | Song, Qiaochu | You, Yancheng

    International Journal for Numerical Methods in Fluids, Vol. 95 (2023), Iss. 7 P.1174

    https://doi.org/10.1002/fld.5178 [Citations: 1]

  2. Improved fully implicit discrete-velocity method for efficient simulation of flows in all flow regimes

    Yang, L. M. | Chen, Z. | Shu, C. | Yang, W. M. | Wu, J. | Zhang, L. Q.

    Physical Review E, Vol. 98 (2018), Iss. 6

    https://doi.org/10.1103/PhysRevE.98.063313 [Citations: 30]

  3. A three-dimensional high-order flux reconstruction lattice boltzmann flux solver for incompressible laminar and turbulent flows

    Ma, Chao | Wu, Jie | Gu, Xiangyu | Yang, Liming

    Computers & Fluids, Vol. 265 (2023), Iss. P.106008

    https://doi.org/10.1016/j.compfluid.2023.106008 [Citations: 2]
  4. Computational Science – ICCS 2018

    Circular Function-Based Gas-Kinetic Scheme for Simulation of Viscous Compressible Flows

    Meng, Zhuxuan | Yang, Liming | Wang, Donghui | Shu, Chang | Zhang, Weihua

    2018

    https://doi.org/10.1007/978-3-319-93713-7_3 [Citations: 0]

  5. An interfacial lattice Boltzmann flux solver for simulation of multiphase flows at large density ratio

    Li, You | Niu, Xiao-Dong | Wang, Yan | Khan, Adnan | Li, Qiao-Zhong

    International Journal of Multiphase Flow, Vol. 116 (2019), Iss. P.100

    https://doi.org/10.1016/j.ijmultiphaseflow.2019.04.006 [Citations: 21]

  6. An Effective Arbitrary Lagrangian-Eulerian-Lattice Boltzmann Flux Solver Integrated with the Mode Superposition Method for Flutter Prediction

    Gong, Tianchi | Wang, Feng | Wang, Yan

    Applied Sciences, Vol. 14 (2024), Iss. 9 P.3939

    https://doi.org/10.3390/app14093939 [Citations: 0]

  7. Efficient boundary condition-enforced immersed boundary method for incompressible flows with moving boundaries

    Zhao, Xiang | Chen, Zhen | Yang, Liming | Liu, Ningyu | Shu, Chang

    Journal of Computational Physics, Vol. 441 (2021), Iss. P.110425

    https://doi.org/10.1016/j.jcp.2021.110425 [Citations: 30]

  8. A high-order scheme based on lattice Boltzmann flux solver for viscous compressible flow simulations

    Qin, Jian | Wu, Jie | Ma, Chao

    Applied Mathematics and Mechanics, Vol. 43 (2022), Iss. 10 P.1601

    https://doi.org/10.1007/s10483-022-2913-7 [Citations: 0]

  9. Kinetic flux vector splitting scheme for solving non-reactive multi-component flows

    Saqib, Muhammad | Rabbani, Attia | Nisar, Ubaid Ahmed | Ashraf, Waqas | Qamar, Shamsul

    Computational Biology and Chemistry, Vol. 83 (2019), Iss. P.107107

    https://doi.org/10.1016/j.compbiolchem.2019.107107 [Citations: 0]

  10. An efficient lattice Boltzmann method for compressible aerodynamics on D3Q19 lattice

    Guo, S. | Feng, Y. | Jacob, J. | Renard, F. | Sagaut, P.

    Journal of Computational Physics, Vol. 418 (2020), Iss. P.109570

    https://doi.org/10.1016/j.jcp.2020.109570 [Citations: 55]

  11. A diffuse‐interface immersed boundary method for simulation of compressible viscous flows with stationary and moving boundaries

    Sun, Yu | Yang, Liming | Shu, Chang | Chen, You

    International Journal for Numerical Methods in Fluids, Vol. 92 (2020), Iss. 3 P.149

    https://doi.org/10.1002/fld.4777 [Citations: 6]

  12. New lattice Boltzmann model for the compressible Navier‐Stokes equations

    Kataoka, Takeshi | Hanada, Takaya

    International Journal for Numerical Methods in Fluids, Vol. 91 (2019), Iss. 4 P.183

    https://doi.org/10.1002/fld.4748 [Citations: 7]

  13. One-side diffuse-interface immersed boundary method for compressible flows

    Wu, Buchen | Liu, Yaguang | Fu, Lin

    Journal of Computational Physics, Vol. (2024), Iss. P.113667

    https://doi.org/10.1016/j.jcp.2024.113667 [Citations: 0]

  14. A Simplified Linearized Lattice Boltzmann Method for Acoustic Propagation Simulation

    Song, Qiaochu | Chen, Rongqian | Cao, Shuqi | Lou, Jinhua | Zhan, Ningyu | You, Yancheng

    Entropy, Vol. 24 (2022), Iss. 11 P.1622

    https://doi.org/10.3390/e24111622 [Citations: 2]

  15. A new capillary force model implemented in lattice Boltzmann method for gas–liquid–solid three-phase flows

    Zhang, Xitong | Liu, Haihu | Zhang, Jinggang

    Physics of Fluids, Vol. 32 (2020), Iss. 10

    https://doi.org/10.1063/5.0021473 [Citations: 18]

  16. Extension of lattice Boltzmann flux solver for simulation of compressible multi-component flows

    Yang, Li-Ming | Shu, Chang | Yang, Wen-Ming | Wang, Yan

    Modern Physics Letters B, Vol. 32 (2018), Iss. 12n13 P.1840001

    https://doi.org/10.1142/S0217984918400018 [Citations: 2]

  17. A simple gas kinetic scheme for simulation of 3D incompressible thermal flows

    Yang, L. M. | Shu, C. | Yang, W. M. | Wu, J.

    Numerical Heat Transfer, Part B: Fundamentals, Vol. 72 (2017), Iss. 6 P.450

    https://doi.org/10.1080/10407790.2017.1409535 [Citations: 9]

  18. A novel gas kinetic flux solver for simulation of continuum and slip flows

    Yuan, Zhenyu | Yang, Liming | Shu, Chang | Liu, Zijian | Liu, Wei

    International Journal for Numerical Methods in Fluids, Vol. 93 (2021), Iss. 9 P.2863

    https://doi.org/10.1002/fld.5013 [Citations: 12]

  19. An improved discrete velocity method (DVM) for efficient simulation of flows in all flow regimes

    Yang, L. M. | Shu, C. | Yang, W. M. | Chen, Z. | Dong, H.

    Physics of Fluids, Vol. 30 (2018), Iss. 6

    https://doi.org/10.1063/1.5039479 [Citations: 43]

  20. Gas kinetic flux solver based high-order finite-volume method for simulation of two-dimensional compressible flows

    Yang, L. M. | Shu, C. | Chen, Z. | Liu, Y. Y. | Wu, J. | Shen, X.

    Physical Review E, Vol. 104 (2021), Iss. 1

    https://doi.org/10.1103/PhysRevE.104.015305 [Citations: 6]

  21. An improved hybrid lattice Boltzmann flux solver for 3D integrated hypersonic fluid-thermal-structural analysis

    Li, Jia-Wei | Wang, Jiang-Feng

    International Journal of Modern Physics B, Vol. 34 (2020), Iss. 14n16 P.2040072

    https://doi.org/10.1142/S021797922040072X [Citations: 3]

  22. A rotated lattice Boltzmann flux solver with improved stability for the simulation of compressible flows with intense shock waves at high Mach number

    Chen, Jiabao | Yang, Dangguo | Chen, Qing | Sun, Jianhong | Wang, Yan

    Computers & Mathematics with Applications, Vol. 132 (2023), Iss. P.18

    https://doi.org/10.1016/j.camwa.2022.12.003 [Citations: 11]

  23. Thermal Lattice Boltzmann Flux Solver for Natural Convection of Nanofluid in a Square Enclosure

    Wu, Xiaodi | Zhou, Song

    Entropy, Vol. 24 (2022), Iss. 10 P.1448

    https://doi.org/10.3390/e24101448 [Citations: 1]

  24. Development of lattice Boltzmann flux solver for simulation of hypersonic flow past flight vehicles

    Meng, Zhuxuan | Yang, Liming | Shu, Chang | Hu, Fan | Wang, Donghui | Zhang, Weihua

    Journal of Physics: Conference Series, Vol. 1053 (2018), Iss. P.012073

    https://doi.org/10.1088/1742-6596/1053/1/012073 [Citations: 0]

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

    Hanada, Takaya | Kataoka, Takeshi

    International Journal for Numerical Methods in Fluids, Vol. 93 (2021), Iss. 8 P.2554

    https://doi.org/10.1002/fld.4987 [Citations: 2]

  26. An improved discrete gas-kinetic scheme for two-dimensional viscous incompressible and compressible flows

    Zhang, L. Q. | Chen, Z. | Yang, L. M. | Shu, C.

    Physics of Fluids, Vol. 31 (2019), Iss. 6

    https://doi.org/10.1063/1.5103229 [Citations: 10]

  27. An overset boundary condition-enforced immersed boundary method for incompressible flows with large moving boundary domains

    Zhao, Xiang | Yang, Liming | Xu, Chang | Shu, Chang

    Physics of Fluids, Vol. 34 (2022), Iss. 10

    https://doi.org/10.1063/5.0122257 [Citations: 12]

  28. A numerical study for WENO scheme-based on different lattice Boltzmann flux solver for compressible flows

    Li, You | Niu, Xiao-Dong | Yuan, Hai-Zhuan | Li, Xiang

    Acta Mechanica Sinica, Vol. 34 (2018), Iss. 6 P.995

    https://doi.org/10.1007/s10409-018-0785-9 [Citations: 6]

  29. An Adaptive Mesh Refinement–Rotated Lattice Boltzmann Flux Solver for Numerical Simulation of Two and Three-Dimensional Compressible Flows with Complex Shock Structures

    Huang, Xiaoyingjie | Chen, Jiabao | Zhang, Jun | Wang, Long | Wang, Yan

    Symmetry, Vol. 15 (2023), Iss. 10 P.1909

    https://doi.org/10.3390/sym15101909 [Citations: 1]

  30. A WENO-Based Upwind Rotated Lattice Boltzmann Flux Solver with Lower Numerical Dissipation for Simulating Compressible Flows with Contact Discontinuities and Strong Shock Waves

    Wang, Yunhao | Chen, Jiabao | Wang, Yan | Zeng, Yuhang | Ke, Shitang

    Applied Sciences, Vol. 14 (2024), Iss. 23 P.11450

    https://doi.org/10.3390/app142311450 [Citations: 0]

  31. On the investigation of shock wave/boundary layer interaction with a high-order scheme based on lattice Boltzmann flux solver

    Qin, Jian | Yu, Haichuan | Wu, Jie

    Advances in Aerodynamics, Vol. 6 (2024), Iss. 1

    https://doi.org/10.1186/s42774-023-00167-9 [Citations: 0]

  32. Linear lattice Boltzmann flux solver for simulating acoustic propagation

    Zhan, Ningyu | Chen, Rongqian | You, Yancheng

    Computers & Mathematics with Applications, Vol. 114 (2022), Iss. P.21

    https://doi.org/10.1016/j.camwa.2022.03.034 [Citations: 6]

  33. Development of multicomponent lattice Boltzmann flux solver for simulation of compressible viscous reacting flows

    Yang, Tianpeng | Wang, Jiangfeng | Yang, Liming | Shu, Chang

    Physical Review E, Vol. 100 (2019), Iss. 3

    https://doi.org/10.1103/PhysRevE.100.033315 [Citations: 6]

  34. Double distribution function-based discrete gas kinetic scheme for viscous incompressible and compressible flows

    Zhang, L.Q. | Chen, Z. | Yang, L.M. | Shu, C.

    Journal of Computational Physics, Vol. 412 (2020), Iss. P.109428

    https://doi.org/10.1016/j.jcp.2020.109428 [Citations: 5]

  35. An implicit lattice Boltzmann flux solver for simulation of compressible flows

    Zhao, Xiang | Yang, Liming | Shu, Chang

    Computers & Mathematics with Applications, Vol. 107 (2022), Iss. P.82

    https://doi.org/10.1016/j.camwa.2021.12.014 [Citations: 10]

  36. Three-dimensional discrete Boltzmann models for compressible flows in and out of equilibrium

    Gan, Yanbiao | Xu, Aiguo | Zhang, Guangcai | Lai, Huilin

    Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 232 (2018), Iss. 3 P.477

    https://doi.org/10.1177/0954406217742181 [Citations: 9]