A viscous flow solver for time-dependent free surface calculations

Geoffrey W. Cowles, Luigi Martinelli

Research output: Contribution to conferencePaperpeer-review


In the present work, a robust and efficient algorithm for the computation of steady and time-dependent viscous fluid flow about advancing ships is developed. The baseline numerical algorithm couples the method of artificial compressibility with a finite volume cell-center discretization of the Reynolds-averaged Navier-Stokes equations. An efficient multigrid time-stepping scheme with residual smoothing and local time-stepping is implemented, resulting in an algorithm with fast convergence rates. Dual time-stepping is used to advance the system of equations in a time accurate manner. Fully nonlinear treatment of the wave field is provided by conforming the grid to the free surface shape. This core scheme is implemented for solution on parallel computers using the method of domain decomposition. The resulting computational tool is highly efficient and provides fast and accurate solutions of fluid flow about general hull shapes. Demonstration of the method for computation of the hydrodynamic forces on a Wigley hull in regular headwaves is presented.

Original languageEnglish (US)
StatePublished - 2013
Externally publishedYes
EventOCEANS 2013 MTS/IEEE San Diego Conference: An Ocean in Common - San Diego, CA, United States
Duration: Sep 23 2013Sep 26 2013


OtherOCEANS 2013 MTS/IEEE San Diego Conference: An Ocean in Common
Country/TerritoryUnited States
CitySan Diego, CA

All Science Journal Classification (ASJC) codes

  • Ocean Engineering


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