Smoothed particle hydrodynamics (SPH) is tested for simulating flow driven by high speed underwater body (FDUB).Developing history of supercavity induced by a body is predicated by SPH.Shape of developed supercavity derived by SPH is compared with result given by principle of independence of cavity sections expansion of Logvinovich.Ghost particle method and Dummy particle method,that remedy boundary deficiency of SPH,are combined to implement wall conditions.

An efficient domain decomposition scheme for parabolic equations is discussed,which applies a modified upwind approximation to the first-order derivative.For parallel computation the scheme employs implicit procedures in subdomains and adopts explicit calculations with inter-domain boundaries.With a weaker stability constraint,error estimate in a discrete l² norm is presented.Theoretical analyses are validated by numerical experiments.