elsA-Hybrid: An all-in-one structured/unstructured solver for the simulation of internal and external flows. Application to turbomachinery

This paper reports recent work on the extension of the multi- block structured solver elsA to deal with hybrid grids. The new hybrid-grid solver is called elsA-H (elsA-Hybrid), in which a new unstructuredgrid module has been built within the original elsA CFD system. The implementation benefits from the flexibility of the object-oriented design. The aim of elsA-H is to take advantage of the full potential of structured solvers and unstructured mesh generation by all owing any type of grid to be used within the same simulation process. The main challenge lies in the numerical treatment of the hybrid-grid interfaces where blocks of different type meet. In particular, one must pay attention to the transfer of information across these boundaries, so that the accuracy of the numeric al scheme is preserved and flux conservation is guaranteed. In this paper, we present the numerical approac h that allows us to achieve this. A comparison between the hybrid and the structured-grid methods is also carried out by considering a fully hexahedral multi-block mesh for which a few blocks have been transformed into unstructured. The performance of elsA-H for the simulation of internal flows will be demonstrated on a number of turbomachinery configurations.

[1]  George Karypis,et al.  Multilevel algorithms for partitioning power-law graphs , 2006, Proceedings 20th IEEE International Parallel & Distributed Processing Symposium.

[2]  L. Cambier,et al.  elsA - An efficient object-oriented solution to CFD complexity , 2002 .

[3]  A. Jameson,et al.  Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes , 1981 .

[4]  François Pellegrini,et al.  Scotch and libScotch 5.0 User's Guide , 2007 .

[5]  H. C. Yee,et al.  Implicit Total Variation Diminishing (TVD) schemes for steady-state calculations. [in gas dynamics , 1983 .

[6]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .

[7]  Laurent Cambier,et al.  Status of the elsA CFD Software for Flow Simulation and Multidisciplinary Applications , 2008 .

[8]  Mark Potsdam,et al.  A Coupled Unstructured-Adaptive Cartesian CFD Approach for Hover Prediction , 2010 .

[9]  D. Wilcox Simulation of Transition with a Two-Equation Turbulence Model , 1994 .

[10]  N. Liamis,et al.  3-D turbomachinery Euler and Navier-Stokes calculations with a multidomain cell-centered approach , 1993 .

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

[12]  Hans-Peter Kersken,et al.  Toward Excellence in Turbomachinery Computational Fluid Dynamics: A Hybrid Structured-Unstructured Reynolds-Averaged Navier-Stokes Solver , 2006 .

[13]  Ph. Guillen,et al.  Development of a Chimera unsteady method for the numerical simulation of rotorcraft flowfields , 1998 .

[14]  R. Dwight,et al.  Numerical sensitivity analysis for aerodynamic optimization: A survey of approaches , 2010 .

[15]  J Marty,et al.  Interaction of shrouded stator flow and main flow and its influence on performances of a three-stage high pressure compressor † , 2012 .

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

[17]  Michael Lefebvre Developpement de nouvelles techniques numeriques pour la resolution des equations de navier-stokes tridimensionnelles stationnaires sur des maillages hybrides structures/non structures , 1998 .

[18]  A. Jameson,et al.  Improvements to the aircraft Euler method , 1987 .

[19]  I. Bohachevsky,et al.  Finite difference method for numerical computation of discontinuous solutions of the equations of fluid dynamics , 1959 .

[20]  Dafydd Gibbon,et al.  1 User’s guide , 1998 .

[21]  Christophe Geuzaine,et al.  Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilities , 2009 .