Deneb: an open-source high-performance multi-physical flow solver based on high-order DRM-DG method. (English) Zbl 1541.76059
The authors extensively present Deneb, an open-source C++17 high-performance code designed to solve very challenging PDE based flow systems and simulate multi-physical flows in compressible regimes, including accurate and reliable shock capturing. From the mathematical point of view, it is built on a physical domain-based modal discontinuous Galerkin (DG) method along with the direct reconstruction method (DRM). This second method is used to efficiently drive the numerical integration of DG volume and surface integrals without accuracy loss. Deneb makes use of explicit as well as implicit Runge-Kutta methods in order to achieve high-order accuracy in time marching and of preconditioned Krylov subspace methods for high-performance linear system parallel solving. Deneb can obtain the optimal order of accuracy with the optimal number of polynomial bases even on non-affine finite elements. A large set of benchmark problems are solved in order to underline the capabilities of Deneb. The figures illustrating these numerical experiments are indeed impressive.
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
MSC:
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76N15 | Gas dynamics (general theory) |
| 76K05 | Hypersonic flows |
| 76W05 | Magnetohydrodynamics and electrohydrodynamics |
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 65M50 | Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs |
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
Keywords:
direct reconstruction method; discontinuous Galerkin method; shock-capturing compressible solver; Runge-Kutta method; preconditioned Krylov subspace method; non-affine finite element methodReferences:
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