An Unstructured Incompressible Multi-Phase Solution Algorithm

D. Stephen Nichols, Daniel G. Hyams, Kidambi Sreenivas, Brent Mitchell, Lafayette K. Taylor, and David L. Whitfield
UT SimCenter at Chattanooga, The University of Tennessee at Chattanooga, Chattanooga, Tennessee, 37403

The objective of this study is to demonstrate the capability of a surface capturing scheme for incompressible flows. A preconditioning multi-phase approach1 is adapted for unstructured topologies and implemented into an existing parallel incompressible solution algorithm.2,3 Initial efforts are focused on steady ship hydrodynamics with the intent to extend this effort towards highly unsteady ship-wave interaction. Crucial to this effort is the inclusion of a gravitational source term and a dynamic six degree-of-freedom (6DOF) capability. In the following sections, the governing equations are described, the numerical approach is explained, and results for the Wigley hull, Series 60 CB = 0.6 hull, the DTMB 5415 hull, and a cylinder drop from air into water are presented. Conclusions are discussed with an emphasis on future efforts.