We shall use recently developed numerical technology to compute detonation phenomena accurately,deal with mixed phase flow, high strain rate solid mechanics and complex geometry. These new techniques, developed largely by the personnel involved, include the level set method, ghost fluid method, ENO and WENO shock capturing schemes, solid fluid interaction methodology and the fast closest point transform. All these have been succesfully used for related problems. We shall apply these and other novel AMR and multiresolution gridding techniques to developing and implementing an advanced fluid modeling capability for use in underwater shock analyses to support design optimization of ship and submarine hull structures.These advanced fluid solvers will be used in a variety of commercial applications. These include oil rig demolition, analysis of explosion effects on structures and marine life during harbor construction and demolition, understanding fluid flow issues in hydraulic machinery and reactor systems, adressing maneuverability issues for large commercial vessels and design of commercial tankers. Moreover, this analysis will be useful in the area of physically based graphics for Hollywood type special effects and computer games
