TY - JOUR
T1 - On the development, verification, and validation of a discontinuous Galerkin solver for the Navier–Stokes equations
AU - Lohry, Mark W.
AU - Martinelli, Luigi
N1 - Funding Information:
The authors would like to thank the Princeton Institute for Computational Science and Engineering for providing the necessary computational resource, and the many contributors to the PETSc toolkit for their development efforts as well as their support on the mailing lists. Initial funding for this project was provided by the FAA-JUP program.
Publisher Copyright:
© 2021
PY - 2021/6/15
Y1 - 2021/6/15
N2 - We present maDG, a newly developed code designed for the efficient parallel implicit solution of the 3D unstructured nodal discontinuous Galerkin discretization of the unsteady compressible Navier–Stokes equations. The code is being developed to provide an efficient, modular, and maintainable software platform for studying algorithmic and modeling issues arising in high-resolution CFD. In this paper we address some issues pertinent to the software architecture and testing implementation used towards the goal of implicit time integration of discontinuous Galerkin (DG) approximations. This effort is largely inspired by the life work of Antony Jameson and by his legendary FLO codes, which for more than four decades have provided a unique platform for the development of CFD methods, and enabled path-breaking advances in aerodynamics. We dedicate this paper to Antony on the occasion of his 85th birthday, with the utmost gratitude for his teaching and his friendship.
AB - We present maDG, a newly developed code designed for the efficient parallel implicit solution of the 3D unstructured nodal discontinuous Galerkin discretization of the unsteady compressible Navier–Stokes equations. The code is being developed to provide an efficient, modular, and maintainable software platform for studying algorithmic and modeling issues arising in high-resolution CFD. In this paper we address some issues pertinent to the software architecture and testing implementation used towards the goal of implicit time integration of discontinuous Galerkin (DG) approximations. This effort is largely inspired by the life work of Antony Jameson and by his legendary FLO codes, which for more than four decades have provided a unique platform for the development of CFD methods, and enabled path-breaking advances in aerodynamics. We dedicate this paper to Antony on the occasion of his 85th birthday, with the utmost gratitude for his teaching and his friendship.
KW - Discontinuous Galerkin method
KW - Software engineering
KW - Verification and validation
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U2 - 10.1016/j.compfluid.2021.104921
DO - 10.1016/j.compfluid.2021.104921
M3 - Article
AN - SCOPUS:85103777049
SN - 0045-7930
VL - 223
JO - Computers and Fluids
JF - Computers and Fluids
M1 - 104921
ER -