A conservative sliding mesh coupling procedure for U-RANS flow simulations

Purpose – This paper aims to simulate unsteady flows with surfaces in relative motion using a multi-block structured flow solver. Design/methodology/approach – A procedure for simulating unsteady flows with surfaces in relative motion was developed, based upon a multi-block structured U-RANS flow solver1. Meshes produced in zones of the flow field with different rotation speed are connected by sliding boundaries. The procedure developed guarantees that the flux conservation properties of the original scheme are maintained across the sliding boundaries during the rotation at every time step. Findings – The solver turns out to be very efficient, allowing computation in scalar mode with single core processors as well as in parallel. It was tested by simulating the unsteady flow on a propfan configuration with two counter-rotating rotors. The comparison of results and performances with respect to an existing commercial flow solver (unstructured) is reported. Originality/value – This paper fulfils an identifie...

[1]  Pietro Catalano,et al.  An evaluation of RANS turbulence modelling for aerodynamic applications , 2003 .

[2]  Peretz P. Friedmann,et al.  Rotary-wing aeroelasticity - Current status and future trends , 2001 .

[3]  Gianluca Iaccarino,et al.  U-ZEN: A Computational Tool Solving U-RANS Equations For Industrial Unsteady Applications , 2004 .

[4]  Andrea Panizza,et al.  A Moving Grid Method for Unsteady Flow Computations , 2007 .

[5]  Ching Y. Loh,et al.  A Conservative Treatment of Sliding Interface for Upwind Finite Volume Methods , 2009 .

[6]  Shigeru Obayashi,et al.  Freestream capturing for moving coordinates in three dimensions , 1992 .

[7]  Ivan E. Sutherland,et al.  Reentrant polygon clipping , 1974, Commun. ACM.

[8]  A. Jameson.  Time dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings , 1991 .

[9]  M. Rai.  A conservative treatment of zonal boundaries for Euler equation calculations , 1986 .

[10]  Johan C. Kok,et al.  Resolving the Dependence on Freestream Values for the k- Turbulence Model , 2000 .

[11]  S. P. Spekreijse,et al.  The design of a system of codes for industrial calculations of flowsaround aircraft and other complex aerodynamic configurations , 1992 .

[12]  Gianluca Iaccarino,et al.  IMMERSED BOUNDARY METHODS , 2005 .

[13]  J. Benek,et al.  A 3-D Chimera Grid Embedding Technique , 1985 .

[14]  Oh Joon Kwon,et al.  A Conservative Overset Mesh Scheme via Intergrid Boundary Reconnection on Unstructured Meshes , 2009 .

[15]  David L. Marcum,et al.  A sliding interface method for unsteady unstructured flow simulations , 2007 .

[16]  G. Barakos,et al.  Sliding mesh algorithm for CFD analysis of helicopter rotor–fuselage aerodynamics , 2008 .

[17]  Man Mohan Rai,et al.  A relaxation approach to patched-grid calculations with the Euler equations , 1985 .

[18]  Elias Balaras,et al.  An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries , 2006, J. Comput. Phys..

[19]  Julien Bohbot,et al.  A parallel multigrid conservative patched/sliding mesh algorithm for turbulent flow computation of 3D complex aircraft configurations , 2001 .

[20]  V. Venkatakrishnan,et al.  IMPLICIT METHOD FOR THE COMPUTATION OF UNSTEADY FLOWS ON UNSTRUCTURED GRIDS , 1995 .

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