ALE法を用いた差分格子ボルツマン法による物体回りの遷音速流れのシミュレーション(流体工学,流体機械)  [in Japanese] Simulation of Transonic Flows Past a Body by Finite Difference Lattice Boltzmann Method Using ALE Formulation(Fluids Engineering)  [in Japanese]

Compressible transonic flows around a circular cylinder are simulated by the finite difference lattice Boltzmann method using the Arbitrary Lagrangian Eulerian formulation. High speed compressible flow is successively calculated by giving the local equihirium distribution function in Eulerian form and moving the body and grids in Lagrangean manner. By this technique, the Navier-Stokes equations are recovered and the fluid velocity is kept small in the equilibrium distribution functions and the calculation becomes stable. Patterns of compressible waves and expansion waves agree well with experimental results. The Rankine-Hugoniot's relation is also recovered for the shock waves appearing on the lee-side of the cylinder.