A High Order Discontinuous Galerkin Method Based RANS Turbulence Framework for OpenFOAM

Discontinuous Galerkin is one of the most promising high order method in CFD. However, there is a surprising lack of user-friendly software based on DGM. HopeFOAM is a high order extension of OpenFOAM. This paper designed a high order discontinuous Galerkin method based RANS turbulence framework on HopeFOAM, by inheriting the principle and user interfaces. The one equation turbulence model Spalart-Allmaras is integrated into the framework. User-friendly interfaces are provided to configure turbulence parameters and choosing calculation methods. The turbulence model and wall distance calculation are discretized by high order DGM. Results show that this framework can achieve similar simulation results comparing to literature.

[1]  Wang Yue,et al.  Influence of polymer additives on turbulent energy cascading in forced homogeneous isotropic turbulence studied by direct numerical simulations , 2012 .

[2]  Dimitri J. Mavriplis,et al.  High-Order Discontinuous Galerkin Mesh Resolved Turbulent Flow Simulations of a NACA 0012 Airfoil (Invited) , 2015 .

[3]  Wei Yi,et al.  Toward large scale parallel computer simulation of viscoelastic fluid flow: A study of benchmark flow problems , 2015 .

[4]  H. T. Huynh,et al.  High-Order Methods for Computational Fluid Dynamics: A Brief Review of Compact Differential Formulations on Unstructured Grids , 2013 .

[5]  W. H. Reed,et al.  Triangular mesh methods for the neutron transport equation , 1973 .

[6]  J. Hesthaven,et al.  Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications , 2007 .

[7]  Xuejun Yang,et al.  WI-USHER: A grid-based parallel algorithm for particle insertion in hybrid atomistic-continuum method , 2017 .

[8]  Chi-Wang Shu,et al.  High order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD , 2001 .

[9]  Bernardo Cockburn.  An introduction to the Discontinuous Galerkin method for convection-dominated problems , 1998 .

[10]  Valerio D'Alessandro,et al.  A Spalart-Allmaras turbulence model implementation in a discontinuous Galerkin solver for incompressible flows , 2013, J. Comput. Phys..

[11]  Per-Olof Persson,et al.  RANS Solutions Using High Order Discontinuous Galerkin Methods , 2007 .

[12]  Aleksandar Jemcov,et al.  OpenFOAM: A C++ Library for Complex Physics Simulations , 2007 .

[13]  Guido Kanschat,et al.  A locally conservative LDG method for the incompressible Navier-Stokes equations , 2004, Math. Comput..

[14]  Svetlana V. Poroseva,et al.  On the Accuracy of RANS Simulations of 2D Boundary Layers with OpenFOAM , 2014 .