Theory

Flux Reconstruction

Overview
High-order numerical methods for unstructured grids combine the superior accuracy of high-order spectral or finite difference methods with the geometrical flexibility of low-order finite volume or finite element schemes. The Flux Reconstruction (FR) approach unifies various high-order schemes for unstructured grids within a single framework. Additionally, the FR approach exhibits a significant degree of element locality, and is thus able to run efficiently on modern streaming architectures, such as Graphical Processing Units (GPUs). The aforementioned properties of FR mean it offers a promising route to performing affordable, and hence industrially relevant, scale-resolving simulations of hitherto intractable unsteady flows (involving separation, acoustics etc.) within the vicinity of real-world engineering geometries. An detailed overview of the FR approach is given in:

Linear Stability
The linear stability of an FR schemes depends on the form of the correction function. Linear stability issues are discussed in:

Latest Release

PyFR 1.12.0:

  • Added high-order VTK export.
  • Improved gradient export.
  • Improved performance of OpenMP backend.

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