Host: The Japan Society of Mechanical Engineers
Name : [in Japanese]
Date : November 23, 2018 - November 25, 2018
The incompressible smoothed particle hydrodynamics (ISPH) method is a kind of numerical methods for the incompressible Navier–Stokes equations. Unique solvability and stability are analyzed for implicit and semi-implicit schemes in the ISPH method. Sufficient conditions for unique solvability and stability are introduced: a connectivity condition, a semi-regularity condition, and a time step condition. The unique solvability of both the implicit and semi-implicit schemes in two- and three-dimensional spaces is obtained with the connectivity condition. The stability of the implicit scheme in two-dimensional space is obtained with the connectivity and regularity conditions.
