Accuracy, stability, and performance comparison between the spectral difference and flux reconstruction schemes
From MaRDI portal
Publication:2245312
DOI10.1016/j.compfluid.2021.104922OpenAlexW3086602802MaRDI QIDQ2245312
Publication date: 15 November 2021
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.06072
Gas dynamics (general theory) (76N15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)
Related Items (8)
Partially-averaged Navier-Stokes simulations of turbulence within a high-order flux reconstruction framework ⋮ A stable spectral difference approach for computations with triangular and hybrid grids up to the \(6^{th}\) order of accuracy ⋮ Fully-discrete spatial eigenanalysis of discontinuous spectral element methods: insights into well-resolved and under-resolved vortical flows ⋮ An extended range of stable flux reconstruction schemes on quadrilaterals for various polynomial bases ⋮ An extended range of energy stable flux reconstruction methods on triangles ⋮ A positivity-preserving and conservative high-order flux reconstruction method for the polyatomic Boltzmann-BGK equation ⋮ A flux reconstruction stochastic Galerkin scheme for hyperbolic conservation laws ⋮ The spectral difference Raviart-Thomas method for two and three-dimensional elements and its connection with the flux reconstruction formulation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A simplified formulation of the flux reconstruction method
- PyFR: an open source framework for solving advection-diffusion type problems on streaming architectures using the flux reconstruction approach
- A high-order spectral difference method for unstructured dynamic grids
- On the non-linear stability of flux reconstruction schemes
- A comparison of vortex and pseudo-spectral methods for the simulation of periodic vortical flows at high Reynolds numbers
- A proof of the stability of the spectral difference method for all orders of accuracy
- A new class of high-order energy stable flux reconstruction schemes
- Insights from von Neumann analysis of high-order flux reconstruction schemes
- On the effect of numerical errors in large eddy simulations of turbulent flows
- Dealiasing techniques for high-order spectral element methods on regular and irregular grids
- Shock capturing by the spectral viscosity method
- A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems
- High-order accurate discontinuous finite element solution of the 2D Euler equations
- A spectral vanishing viscosity method for large eddy simulations
- Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations
- Heterogeneous computing on mixed unstructured grids with pyfr
- On consistency and rate of convergence of flux reconstruction for time-dependent problems
- On the eddy-resolving capability of high-order discontinuous Galerkin approaches to implicit LES / under-resolved DNS of Euler turbulence
- Characteristic modal shock detection for discontinuous finite element methods
- A conservative staggered-grid Chebyshev multidomain method for compressible flows. II: A semi-structured method
- A conservative staggered-grid Chebyshev multidomain method for compressible flows
- The effect of the formulation of nonlinear terms on aliasing errors in spectral methods
- A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations
- Discontinuous Galerkin via interpolation: the direct flux reconstruction method
- Effect of mesh quality on flux reconstruction in multi-dimensions
- On the behaviour of fully-discrete flux reconstruction schemes
- Fourier analysis and evaluation of DG, FD and compact difference methods for conservation laws
- Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations
- Energy stable flux reconstruction schemes for advection-diffusion problems
- Spectral difference method for unstructured grids. I. Basic formulation
- Metric identities and the discontinuous spectral element method on curvilinear meshes
- Spectral difference method for unstructured grids. II. Extension to the Euler equations
- Vortex suppression and drag reduction in the wake of counter-rotating cylinders
- Implicit Large Eddy Simulation of transition to turbulence at low Reynolds numbers using a Discontinuous Galerkin method
- Hyperbolic systems of conservation laws II
- Small-scale structure of the Taylor–Green vortex
- Riemann Solvers, the Entropy Condition, and Difference
- Simplified Second-Order Godunov-Type Methods
- Geometric Conservation Law and Its Application to Flow Computations on Moving Grids
- On the Gibbs Phenomenon and Its Resolution
- Legendre Pseudospectral Viscosity Method for Nonlinear Conservation Laws
- Bottleneck phenomenon in developed turbulence
- Assessment of a discontinuous Galerkin method for the simulation of vortical flows at high Reynolds number
- High‐order CFD methods: current status and perspective
- Analysis of low-pass filters for approximate deconvolution closure modelling in one-dimensional decaying Burgers turbulence
- Comparative study of implicit and subgrid‐scale model large‐eddy simulation techniques for low‐Reynolds number airfoil applications
- Spectral/hp Element Methods for Computational Fluid Dynamics
- Spectral methods for hyperbolic problems
- A high-order cross-platform incompressible Navier-Stokes solver via artificial compressibility with application to a turbulent jet
This page was built for publication: Accuracy, stability, and performance comparison between the spectral difference and flux reconstruction schemes
