PyFR: An open source framework for solving advection-diffusion type problems on streaming architectures using the flux reconstruction approach

@article{Witherden2014PyFRAO,
  title={PyFR: An open source framework for solving advection-diffusion type problems on streaming architectures using the flux reconstruction approach},
  author={Freddie D. Witherden and Antony M. Farrington and Peter E. Vincent},
  journal={ArXiv},
  year={2014},
  volume={abs/1312.1638}
}
PyFR: Next-Generation High-Order Computational Fluid Dynamics on Many-Core Hardware (Invited)
TLDR
The current release of PyFR is able to solve the compressible Euler and Navier-Stokes equations on grids of quadrilateral and triangular elements in two dimensions, and hexahedral, tetrahedral, prismatic, and pyramidal elements in three dimensions, targeting clusters of multi-core CPUs, NVIDIA GPUs (K20, K40 etc.), AMD GPUs (S10000, W9100 etc.), and heterogeneous mixtures thereof.
On the development and implementation of high-order flux reconstruction schemes for computational fluid dynamics
TLDR
A formulation of the FR approach that is suitable for solving non-linear advection-diffusion type problems on mixed curvilinear grids is developed and a methodology for identifying symmetric quadrature rules inside of a variety of domains is presented.
Chapter 10 High-Order Flux Reconstruction Schemes
There is an increasing desire among industrial practitioners of computational fluid dynamics to undertake high-fidelity scale-resolving simulations of unsteady flows within the vicinity of complex
HORSES3D: a high-order discontinuous Galerkin solver for flow simulations and multi-physics applications
TLDR
The latest developments of the High-Order Spectral Element Solver (HORSES3D), an open source high-order discontinuous Galerkin framework, capable of solving a variety of flow applications, including compressible flows), incompressible flows, various RANS and LES turbulence models, particle dynamics, multiphase flows, and aeroacoustics are presented.
Overview of the NASA Glenn Flux Reconstruction Based High-Order Unstructured Grid Code
TLDR
An examination of the code's performance demonstrates good parallel scaling, as well as an implementation of the FR method with a computational cost/degree- of-freedom/time-step that is essentially independent of the solution order of accuracy for structured geometries.
Efficient Parallel 3D Computation of the Compressible Euler Equations with an Invariant-domain Preserving Second-order Finite-element Scheme
TLDR
It is demonstrated that it is nevertheless possible to achieve an appreciably high throughput of the computing kernels of a high-performance second-order colocation-type finite-element scheme for solving the compressible Euler equations of gas dynamics on unstructured meshes.
Performance Improvement of a Scalable High-Order Compressible Flow Solver on Unstructured Hexahedral Grids
TLDR
This paper describes LS-FLOW-HO, a high-order compressible flow solver based on the Flux Reconstruction(FR) method, and its performance optimization of the PRIMEHPC FX100, a Fujitsu scalar supercomputer.
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