Numerical analysis of a weak shock wave propagating in a medium using lattice boltzmann method (LBM)
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This study introduced a lattice Boltzmann computational scheme capable of modeling thermo hydrodynamic flows with simpler equilibrium particle distribution function compared with other models. The equilibrium particle distribution function is the local Maxwelian equilibrium function in this model, with all the constants uniquely determined. The characteristics of the proposed model is verified by calculation of the sound speeds, and the shock tube problem. In the lattice Boltzmann method,a thermal fluid or compressible fluid model simulates the reflection of a weak shock wave colliding with a sharp wedge having various angles θw. Theoretical results using LBM are satisfactory compared with the experimental result or the TVD.
Key WordsComputational Fluid Dynamics (CFD) Lattice Boltzmann Method (LBM) BGK Model Compressible Fluid Shock Wave Reflection Wave
Particle distribution function onr att
Radius of curvature
Coefficient of specific heats
Number of speeds of particles
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