Abstract
A grid-free particle method is developed for solving Navier-Stokes equations of one dimensional viscous compressible fluids in unsteady motion. The particles, representing fluid density, are moved at the acceleration derived from the motion equation, and the total energy of each moving particle is increased/decreased according to the energy equation. A shock wave and an expansion wave in a shock tube are simulated as numerical experiments to study the accuracy and the stability of the present method. The structures of a steady shock wave of Argon simulated by our method, the finite difference method and the direct-simulation Monte Carlo method were compared.
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