Unstructured Nonlinear Free Surface Simulations for the Fully-Appended DTMB Model 5415 Series Hull Including Rotating Propulsors

Nonlinear free surface simulations around realistic geometries, such as the DTMB Model 5415 Series hull, are a necessary step to achieve the goal of simulation of maneuvering surface vessels. As part of this effort, researchers in the Computational Simulation and Design Center at Mississippi State University have developed and parallelized a three-dimensional unstructured code, , which solves the incompressible Reynoldsaveraged Navier-Stokes equations using a node-based flux differencing finite volume method with Roe-averaged variables. The simulations produced by this code realistically capture turbulent flow and vortices arising from bulbous bows and tips of propulsors and rudders and can model the rotation of the propulsors accurately. Because the code uses unstructured grids, the code is applicable to a wide range of geometries, including those with shafts and struts, and can solve the flow through small gaps such as those between the rudder and the boot. Current research efforts include the addition of nonlinear free surface capabilities to this code. A nonlinear free surface is obtained by solving the kinematic free surface boundary condition, imposing the resulting hydrostatic pressure di stribution onto the boundary for the Navier-Stokes solver and moving the grid to match the free surface while conforming to any geometry that intersects the free surface. The current free surface implementation is loosely coupled with the Navier-Stokes solver and makes the assumption that the flow is steady-state.

[1]  L K Taylor,et al.  TIME ACCURATE INCOMPRESSIBLE NAVIER-STOKES SIMULATION OF THE FLAPPING FOIL EXPERIMENT , 1994 .

[2]  J. Batina Unsteady Euler airfoil solutions using unstructured dynamic meshes , 1989 .

[3]  P. Thomas,et al.  Geometric Conservation Law and Its Application to Flow Computations on Moving Grids , 1979 .

[4]  L. K. Taylor,et al.  Unsteady three-dimensional incompressible algorithm based on artificial compressibility , 1991 .

[5]  C. Farhat,et al.  Torsional springs for two-dimensional dynamic unstructured fluid meshes , 1998 .

[6]  David L. Marcum,et al.  Unstructured Grid Generation Using Automatic Point Insertion and Local Reconnection , 2002 .

[7]  Chunhua Sheng,et al.  Three-Dimensional Incompressible Navier-Stokes Flow Computations about Complete Configurations Using a Multiblock Unstructured Grid Approach , 1999 .

[8]  P. Roe Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .

[9]  T. Hsieh,et al.  A comparison between implicit and hybrid methods for the calculation of steady and unsteady inlet flows , 1985 .

[10]  Kidambi Sreenivas,et al.  Unstructured Nonlinear Free Surface Flow Solutions: Validation and Verification , 2002 .

[11]  W. K. Anderson,et al.  Aerodynamic design optimization on unstructured grids with a continuous adjoint formulation , 1997 .

[12]  W. K. Anderson,et al.  An implicit upwind algorithm for computing turbulent flows on unstructured grids , 1994 .

[13]  T Ratcliffe An Experimental and Computational Study of the Effects of Propulsion on the Free-Surface Flow Astern of Model 5415 , 2001 .

[14]  Lafayette K. Taylor,et al.  A time accurate calculation procedure for flows with a free surface using a modified artificial compressibility formulation , 1994 .

[15]  A. Chorin A Numerical Method for Solving Incompressible Viscous Flow Problems , 1997 .

[16]  Oktay Baysal,et al.  Dynamic unstructured method for flows past multiple objects in relative motion , 1994 .

[17]  P. Spalart A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[18]  James J. McGuirk,et al.  Finite Volume Discretization Aspects for Viscous Flows on Mixed Unstructured Grids , 1999 .

[19]  Chunhua Sheng,et al.  An investigation of parallel implicit solution algorithms for incompressible flows on multielement unstructured topologies , 2000 .

[20]  Chunhua Sheng,et al.  An Unstructured Multielement Solution Algorithm for Complex Geometry Hydrodynamic Simulations , 2001 .

[21]  Lafayette K. Taylor,et al.  Computation of steady and unsteady flows with a free surface around the Wigley hull , 1998 .

[22]  R. F. Warming,et al.  An Implicit Factored Scheme for the Compressible Navier-Stokes Equations , 1977 .