Fundamental Study of SPH Method 2nd Report, Treatment of 2 Phase Flow in Case of Uneven Particles

• Published in: Transactions of the Japan Society of Mechanical Engineers Series B Vol. 73; no. 725; pp. 38 - 43
• Main Authors: OBARA, Haruki, HONDA, Mariko, KOYAMA, Akinori
• Format: Journal Article
• Language: Japanese
• Published: The Japan Society of Mechanical Engineers 25.01.2007
• Subjects: 2 Phase Flow; Numerical Analysis; Particle Method; SPH; Un-even Particles
• ISSN: 0387-5016; 1884-8346
• DOI: 10.1299/kikaib.73.38

In preceding report, we proposed Relaxation equations for the smoothed particle hydrodynamics (SPH) method suited to suppress the numerical disorder around the boundary of 2 phase flow as gas and liquid. The effect of the equations was discussed for uniformly distributed particles having same smoothing length. But, when the smoothing length of particles is not constant, it causes numerical disorder again. Additionally, there was a difficulty that the momentum conservation is not satisfied in the Relaxation equation. This paper discusses the problem of numerical disorder caused by the difference of the smoothed length between particle, and we propose a new calculation method suited to suppress the numerical disorder. Additionally, we discuss about the treatment of smoothing length, which was not clearly discussed previously, and we propose a revised Relaxation equation.