1966/12/01 by John K. Buckner, Joel H. Ferziger · 1 citation
Mathematics · Engineering · #Gas Dynamics and Kinetic Theory #Lattice Boltzmann Simulation Studies #Computational Fluid Dynamics and Aerodynamics
paper · doi:10.1063/1.1761620
A complete set of eigenfunctions of the linearized modeled kinetic theory Boltzmann equation appropriate to the boundary value problem is constructed. These functions are then used to solve a boundary value problem which contains the essential features of sound propagation experiments. The calculated pressure field correctly gives the hydrodynamic solution as its high-density limit and modified free flow behavior as its low-density limit. Even for very simple models the results are in remarkably good agreement with experiments.