A stable interface element scheme for the \(p\)-adaptive lifting collocation penalty formulation
From MaRDI portal
Publication:422980
DOI10.1016/j.jcp.2011.10.018zbMath1408.65071OpenAlexW2028270010MaRDI QIDQ422980
J. S. Cagnone, Siva K. Nadarajah
Publication date: 18 May 2012
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2011.10.018
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Compressible fluids and gas dynamics (76N99)
Related Items
Performance and accuracy of hybridized flux reconstruction schemes, High-order methods for computational fluid dynamics: a brief review of compact differential formulations on unstructured grids, On the accuracy and efficiency of discontinuous Galerkin, spectral difference and correction procedure via reconstruction methods, Adjoint-based error estimation and mesh adaptation for the correction procedure via reconstruction method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Adjoint-based error estimation and adaptive mesh refinement for the RANS and \(k-\omega\) turbulence model equations
- On the stability and accuracy of the spectral difference method
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
- Adjoint-based \(h\)-\(p\) adaptive discontinuous Galerkin methods for the 2D compressible Euler equations
- An explicit construction of interpolation nodes on the simplex
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Spectral methods on triangles and other domains
- A staggered-grid multidomain spectral method for the compressible Navier-Stokes equations
- Discontinuous Galerkin finite element method with anisotropic local grid refinement for inviscid compressible flows
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Spectral/hp methods for viscous compressible flows on unstructured 2D meshes
- An analysis of the discontinuous Galerkin method for wave propagation problems
- A grid generation and flow solution method for the Euler equations on unstructured grids
- High-order accurate discontinuous finite element solution of the 2D Euler equations
- Spectral (finite) volume method for conservation laws on unstructured grids. IV: Extension to two-dimensional systems.
- Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation
- A conservative staggered-grid Chebyshev multidomain method for compressible flows. II: A semi-structured method
- Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations.
- A conservative staggered-grid Chebyshev multidomain method for compressible flows
- A triangular cut-cell adaptive method for high-order discretizations of the compressible Navier-Stokes equations
- A dynamic \(p\)-adaptive discontinuous Galerkin method for viscous flow with shocks
- An accuracy and stability study of the 2D spectral volume method
- Spectral difference method for unstructured grids. I. Basic formulation
- Accuracy evaluation of unsteady CFD numerical schemes by vortex preservation
- A frontal approach for internal node generation in Delaunay triangulations
- An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems
- hp‐Discontinuous Galerkin finite element methods for hyperbolic problems: error analysis and adaptivity
- Anisotropic mesh refinement for discontinuous Galerkin methods in two‐dimensional aerodynamic flow simulations
