Abstract: The strong blast-wave generated from an intense underwater explosion interactsstrongly with the air-watcrinterfacet forming refractive shock wave and reflective rarefactionwave.These waves are regular initially,but soon develops into irregular pattern. Accompa-nied with this interaction between the blast wave and the free surface,a spray dome formsand develops into a huge hollow water-column. These complex physical features put greatdemands on numerical computation that the numerics should be able to captu...