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

  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},
PyFR: Next-Generation High-Order Computational Fluid Dynamics on Many-Core Hardware (Invited)
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
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
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
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
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
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.


Energy Stable Flux Reconstruction Schemes for Advection–Diffusion Problems on Tetrahedra
This work provides a formal proof of the stability of the new schemes and assesses their performance via numerical experiments on model problems and presents an extension of the VCJH schemes to tetrahedral elements.
On the Development of a High-Order, Multi-GPU Enabled, Compressible Viscous Flow Solver for Mixed Unstructured Grids
A three-dimensional, high-order, compressible viscous ow solver for mixed unstructured grids that can run on multiple GPUs that utilizes a range of so-called Vincent-Castonguay-Jameson-Huynh reconstruction schemes in both tensor-product and simplex elements.
High-Order Multidomain Spectral Difference Method for the Navier-Stokes Equations
*† ‡ A high order multidomain spectral difference (SD) method is developed for the three dimensional Navier-Stokes equations on unstructured hexahedral grids. The method is easy to implement since it
A New Class of High-Order Energy Stable Flux Reconstruction Schemes for Triangular Elements
A new class of energy stable FR schemes for triangular elements is developed, parameterized by a single scalar quantity, which can be adjusted to provide an infinite range of linearly stable high-order methods on triangular elements.
A New Class of High-Order Energy Stable Flux Reconstruction Schemes
It has been proved (for one-dimensional linear advection) that the spectral difference method is stable for all orders of accuracy in a norm of Sobolev type, provided that the interior flux collocation points are located at zeros of the corresponding Legendre polynomials.
Application of High-Order Energy Stable Flux Reconstruction Schemes to the Euler Equations
The authors recently identified an infinite range of high-order energy stable flux reconstruction (FR) schemes in 1D and on triangular elements in 2D. The new flux reconstruction schemes are linearly
Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications
The text offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential