TY - GEN
T1 - A finite volume method based on a weno reconstruction for compressible flows on hybrid grids
AU - Xia, Yidong
AU - Liu, Xiaodong
AU - Luo, Hong
PY - 2014
Y1 - 2014
N2 - A cell-centered finite volume method based on a WENO reconstruction, termed WENO(P0P1) in this paper, is presented for solving the compressible Navier-Stokes equations on 3D hybrid grids. This new WENO(P0P1) method is designed not only to achieve high-order accuracy but also to ensure non-linear stability of the finite volume method. The discretization of the viscous and heat fluxes is carried out using a modified averaging of gradients. The spatially discretized governing equations are integrated in time using a linearized implicit scheme. A fast, matrix-free implicit method, GMRES+LU-SGS, is then applied to solve the resultant system of linear equations. The parallelization of the WENO(P0P1) method is based on domain partitioning and Single Program Multiple Data (SPMD) parallel programming model using Message-Passing-Interface (MPI) programming paradigm for distributed memory parallel computing architectures. The developed WENO(P0P1) method is used to compute a variety of flow problems on hybrid grids to demonstrate its accuracy, efficiency, robustness, and versatility. The numerical experiments indicate that this WENO(P0P1) method is able to maintain high accuracy for smooth flows and obtain oscillation-free solutions in the vicinity of discontinuities, and outperforms a van Albada limiter-based finite volume method.
AB - A cell-centered finite volume method based on a WENO reconstruction, termed WENO(P0P1) in this paper, is presented for solving the compressible Navier-Stokes equations on 3D hybrid grids. This new WENO(P0P1) method is designed not only to achieve high-order accuracy but also to ensure non-linear stability of the finite volume method. The discretization of the viscous and heat fluxes is carried out using a modified averaging of gradients. The spatially discretized governing equations are integrated in time using a linearized implicit scheme. A fast, matrix-free implicit method, GMRES+LU-SGS, is then applied to solve the resultant system of linear equations. The parallelization of the WENO(P0P1) method is based on domain partitioning and Single Program Multiple Data (SPMD) parallel programming model using Message-Passing-Interface (MPI) programming paradigm for distributed memory parallel computing architectures. The developed WENO(P0P1) method is used to compute a variety of flow problems on hybrid grids to demonstrate its accuracy, efficiency, robustness, and versatility. The numerical experiments indicate that this WENO(P0P1) method is able to maintain high accuracy for smooth flows and obtain oscillation-free solutions in the vicinity of discontinuities, and outperforms a van Albada limiter-based finite volume method.
UR - http://www.scopus.com/inward/record.url?scp=84902766290&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84902766290
SN - 9781624102561
T3 - 52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014
BT - 52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014
PB - American Institute of Aeronautics and Astronautics Inc.
T2 - 52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014
Y2 - 13 January 2014 through 17 January 2014
ER -