LAUSR

The smoothed particle hydrodynamics (SPH) method is usually expected to be an efficient numerical tool for calculating the multiphase phenomena in compressors. However, numerical instability arises around the interfaces due to the pressure inconsistency. By analyzing different formula of the pressure term under SPH approximation, we show that the frequently-used formulation (n=-1) leads to the worst performance and is thus not recommended. By contrast, we suggest the formulas n=0 and 1 in future practical SPH applications.The smoothed particle hydrodynamics (SPH) method is usually expected to be an efficient numerical tool for calculating the multiphase phenomena in compressors. However, numerical instability arises around the interfaces due to the pressure inconsistency. By analyzing different formula of the pressure term under SPH approximation, we show that the frequently-used formulation (n=-1) leads to the worst performance and is thus not recommended. By contrast, we suggest the formulas n=0 and 1 in future practical SPH applications.