A comparison of interpolation techniques for non-conformal high-order discontinuous Galerkin methods
DOI10.1016/j.cma.2021.113820zbMath1506.65170arXiv2007.15534OpenAlexW3045811741MaRDI QIDQ2236971
David Moxey, Gavin Tabor, Edward Laughton
Publication date: 26 October 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.15534
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Related Items (5)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A simple, efficient, and high-order accurate curved sliding-mesh interface approach to spectral difference method on coupled rotating and stationary domains
- Mass conservation of the unified continuous and discontinuous element-based Galerkin methods on dynamically adaptive grids with application to atmospheric simulations
- Conservative interpolation between unstructured meshes via supermesh construction
- Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
- Analysis of implicit LES methods
- A staggered-grid multidomain spectral method for the compressible Navier-Stokes equations
- Nektar++: an open-source spectral/\(hp\) element framework
- Conservative handling of arbitrary non-conformal interfaces using an efficient supermesh
- On the eddy-resolving capability of high-order discontinuous Galerkin approaches to implicit LES / under-resolved DNS of Euler turbulence
- On the use of kinetic energy preserving DG-schemes for large eddy simulation
- An analysis of numerical errors in large-eddy simulations of turbulence
- Nektar++: design and implementation of an implicit, spectral/\(hp\) element, compressible flow solver using a Jacobian-free Newton Krylov approach
- An efficient sliding mesh interface method for high-order discontinuous Galerkin schemes
- Optimising the performance of the spectral/\(hp\) element method with collective linear algebra operations
- A high order discontinuous Galerkin-Fourier incompressible 3D Navier-Stokes solver with rotating sliding meshes
- Geophysical-astrophysical spectral-element adaptive refinement (GASpAR): object-oriented \(h\)-adaptive fluid dynamics simulation
- On the connections between discontinuous Galerkin and flux reconstruction schemes: extension to curvilinear meshes
- Spectral difference method for unstructured grids. II. Extension to the Euler equations
- \textit{Nektar}++: enhancing the capability and application of high-fidelity spectral/\(hp\) element methods
- An Algorithm for Computing Fekete Points in the Triangle
- Simulation of transition and turbulence decay in the Taylor–Green vortex
- deal.II—A general-purpose object-oriented finite element library
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Computation of electromagnetic scattering with a non‐conforming discontinuous spectral element method
- From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex
- Barycentric Lagrange Interpolation
- Connections between the discontinuous Galerkin method and high‐order flux reconstruction schemes
- Efficient Matrix-Free High-Order Finite Element Evaluation for Simplicial Elements
- Spectral/hp Element Methods for Computational Fluid Dynamics
This page was built for publication: A comparison of interpolation techniques for non-conformal high-order discontinuous Galerkin methods
