The use of shock-detecting sensor to improve the stability of Lattice Boltzmann Model for high Mach number flows

Mohsen Ghadyani (), Vahid Esfahanian () and Mohammad Taeibi-Rahni ()
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Mohsen Ghadyani: Department of Mechanical and Aerospace Engineering, Tehran Science and Research Branch, Islamic Azad University, Tehran, Iran
Vahid Esfahanian: School of Mechanical Engineering, College of Engineering, University of Tehran, North Karegar Ave., P. O. Box 14395-1335, Tehran, Iran
Mohammad Taeibi-Rahni: Department of Aerospace Engineering, Sharif University of Technology, P.O. Box 11365-9161, Tehran, Iran

International Journal of Modern Physics C (IJMPC), 2015, vol. 26, issue 01, 1-21

Abstract: Attempts to simulate compressible flows with moderate Mach number to relatively high ones using Lattice Boltzmann Method (LBM) have been made by numerous researchers in the recent decade. The stability of the LBM is a challenging problem in the simulation of compressible flows with different types of embedded discontinuities. The present study proposes an approach for simulation of inviscid flows by a compressible LB model in order to enhance the robustness using a combination of Essentially NonOscillatory (ENO) scheme and Shock-Detecting Sensor (SDS) procedure. A sensor is introduced with adjustable parameters which is active near the discontinuities and affects less on smooth regions. The validity of the improved model to capture shocks and to resolve contact discontinuity and rarefaction waves in the well-known benchmarks such as, Riemann problem, and shock reflection is investigated. In addition, the problem of supersonic flow in a channel with ramp is simulated using a skewed rectangular grid generated by an algebraic grid generation method. The numerical results are compared with analytical ones and those obtained by solving the original model. The numerical results show that the presented scheme is capable of generating more robust solutions in the simulation of compressible flows and is almost free of oscillations for high Mach numbers. Good agreements are obtained for all problems.

Keywords: Lattice Boltzmann; robustness; ENO; supersonic flow; shock-detecting sensor (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183115500060

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