Effect of mesh quality on flux reconstruction in multi-dimensions
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Publication:2177938
DOI10.1007/s10915-020-01184-2zbMath1437.65146arXiv1809.05189OpenAlexW3012163446MaRDI QIDQ2177938
Ashley Scillitoe, Rob Watson, W. Trojak, Paul G. Tucker
Publication date: 7 May 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.05189
Direct numerical and large eddy simulation of turbulence (76F65) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Numerical methods in Fourier analysis (65T99) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Uses Software
Cites Work
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- On the stability of the flux reconstruction schemes on quadrilateral elements for the linear advection equation
- On the accuracy and efficiency of discontinuous Galerkin, spectral difference and correction procedure via reconstruction methods
- On the non-linear stability of flux reconstruction schemes
- Erratum to: ``Energy stable flux reconstruction schemes for advection-diffusion problems on tetrahedra
- A comparison of vortex and pseudo-spectral methods for the simulation of periodic vortical flows at high Reynolds numbers
- A new class of high-order energy stable flux reconstruction schemes
- Insights from von Neumann analysis of high-order flux reconstruction schemes
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- On the freestream preservation of high-order conservative flux-reconstruction schemes
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Compact finite difference schemes with spectral-like resolution
- A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems
- Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation
- On the properties of energy stable flux reconstruction schemes for implicit large eddy simulation
- On consistency and rate of convergence of flux reconstruction for time-dependent problems
- Discrete form of the GCL for moving meshes and its implementation in CFD schemes
- A further study of numerical errors in large-eddy simulations.
- An analysis of numerical errors in large-eddy simulations of turbulence
- A conservative staggered-grid Chebyshev multidomain method for compressible flows
- A new family of weighted one-parameter flux reconstruction schemes
- Energy stable flux reconstruction schemes for advection-diffusion problems
- Formulation of kinetic energy preserving conservative schemes for gas dynamics and direct numerical simulation of one-dimensional viscous compressible flow in a shock tube using entropy and kinetic energy preserving schemes
- On the connections between discontinuous Galerkin and flux reconstruction schemes: extension to curvilinear meshes
- An extended range of stable-symmetric-conservative flux reconstruction correction functions
- Multivariate interpolation for fluid-structure-interaction problems using radial basis functions
- Survey of the stability of linear finite difference equations
- Domain Decomposition Methods for Systems of Conservation Laws: Spectral Collocation Approximations
- Small-scale structure of the Taylor–Green vortex
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- Simplified Second-Order Godunov-Type Methods
- Geometric Conservation Law and Its Application to Flow Computations on Moving Grids
- The Mathematical Theory of Finite Element Methods
- On the Partial Difference Equations of Mathematical Physics
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