2 citations · 2 across the 7 of their papers we have counts for
7 papers
On the Strong Stability Preserving Property of Runge-Kutta Methods for Hyperbolic Problems
Mohammad R. Najafian, Brian C. Vermeire
Strong Stability Preserving (SSP) time integration schemes maintain stability of the forward Euler method for any initial value problem. However, only a small subset of Runge-Kutta…
Quasi-Orthogonal Runge-Kutta Projection Methods
Mohammad R. Najafian, Brian C. Vermeire
A wide range of physical phenomena exhibit auxiliary admissibility criteria, such as conservation of entropy or various energies, which arise implicitly under exact solution of the…
PyFR v2.0.3: Towards Industrial Adoption of Scale-Resolving Simulations
Freddie D. Witherden, Peter E. Vincent, Will Trojak +17
PyFR is an open-source cross-platform computational fluid dynamics framework based on the high-order Flux Reconstruction approach, specifically designed for undertaking high-accura…
Hybridized Implicit-Explicit Flux Reconstruction Methods
Carlos A. Pereira, Brian C. Vermeire
For turbulent problems of industrial scale, computational cost may become prohibitive due to the stability constraints associated with explicit time discretization of the underlyin…
Energy Conservative Relaxation-Free Runge-Kutta Schemes
Mohammad R. Najafian, Brian C. Vermeire
A wide range of physical phenomena exhibit auxiliary admissibility criteria, such as conservation of entropy or various energies, which arise implicitly under the exact solution of…
Hybridized Formulations of Flux Reconstruction Schemes for Advection-Diffusion Problems
Carlos A. Pereira, Brian C. Vermeire
We present the hybridization of flux reconstruction methods for advection-diffusion problems. Hybridization introduces a new variable into the problem so that it can be reduced via…
Heterogeneous Computing on Mixed Unstructured Grids with PyFR
F. D. Witherden, B. C. Vermeire, P. E. Vincent
PyFR is an open-source high-order accurate computational fluid dynamics solver for mixed unstructured grids that can target a range of hardware platforms from a single codebase. In…