10.57647/j.jtap.2025.1905.49

Turbulent boundary layer/shock wave interaction in a nozzle using a compressible lattice Boltzmann method

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  • Hiwa Hosseini*1,
  • Ebrahim GoshtasbiRad1,
  1. Department of Mechanical Engineering, Shiraz University, Shiraz, Iran

Received: 2025-05-23

Revised: 2025-08-29

Accepted: 2025-09-04

Published in Issue 2025-09-30

Copyright (c) 2025 Hiwa Hosseini, Ebrahim GoshtasbiRad (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
Hosseini H, GoshtasbiRad E. Turbulent boundary layer/shock wave interaction in a nozzle using a compressible lattice Boltzmann method. J Theor Appl phys. 2025 Sep. 30;19(5). Available from: https://oiccpress.com/jtap/article/view/17675
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Abstract

The double distribution function lattice Boltzmann method (DDF-LBM) is explored for its potential use in a single expansion ramp nozzle. The main goal is to evaluate how well DDF-LBM can model shock wave/boundary layer interactions (SWBLI), including shock formation and the size of separation bubbles. The method which is validated in a previous paper by the same authors by examining its potential strengths in well-known benchmark problems such as the shock tube and flow around an airfoil, is combined with Spallart-Almaras turbulent model to simulate shock wave and turbulent boundary layer interactions near a nozzle wall. Achieving accurate results required careful attention to spatial discretization, selecting suitable Courant-Friedrichs-Lewy (CFL) numbers, and tuning parameters. The effectiveness of two discretization schemes—the fifth-order weighted essentially non-oscillatory (WENO) and the third-order weighted non-free-parameter dissipation (WNND)—was assessed for capturing key physical phenomena. The influence of the entrance Mach number was also studied to evaluate the method’s ability to predict major flow variations.

Keywords

  • Lattice Boltzmann method,
  • Compressible flow,
  • Shock wave/boundary layer interaction
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