Efficient construction of unified continuous and discontinuous Galerkin formulations for the 3D Euler equations
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Publication:726898
DOI10.1016/j.jcp.2016.05.033zbMath1349.76162OpenAlexW2407412842MaRDI QIDQ726898
Daniel S. Abdi, Francis X. Giraldo
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2016.05.033
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) Meteorology and atmospheric physics (86A10) Euler equations (35Q31)
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Uses Software
Cites Work
- Unnamed Item
- To CG or to HDG: a comparative study in 3D
- Mass conservation of the unified continuous and discontinuous element-based Galerkin methods on dynamically adaptive grids with application to atmospheric simulations
- Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics
- On the stability of continuous-discontinuous Galerkin methods for advection-diffusion-reaction problems
- Computational aspects of a scalable high-order discontinuous Galerkin atmospheric dynamical core
- To CG or to HDG: A comparative study
- A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate
- Nodal discontinuous Galerkin methods on graphics processors
- Numerical techniques for global atmospheric models.
- An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations
- Two comments on filtering (artificial viscosity) for Chebyshev and Legendre spectral and spectral element methods: Preserving boundary conditions and interpretation of the filter as a diffusion
- Implementing and using high-order finite element methods
- Coupling of continuous and discontinuous Galerkin methods for transport problems
- Adaptive mesh strategies for the spectral element method
- Explicit discontinuous Galerkin methods for unsteady problems
- A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: equation sets and test cases
- Variational multiscale stabilization of high-order spectral elements for the advection-diffusion equation
- Continuous and discontinuous Galerkin methods for a scalable three-dimensional nonhydrostatic atmospheric model: limited-area mode
- Geophysical-astrophysical spectral-element adaptive refinement (GASpAR): object-oriented \(h\)-adaptive fluid dynamics simulation
- Multiplier and gradient methods
- Filter-based stabilization of spectral element methods
- Displacement and equilibrium models in the finite element method by B. Fraeijs de Veubeke, Chapter 9, Pages 145–197 of Stress Analysis, Edited by O. C. Zienkiewicz and G. S. Holister, Published by John Wiley & Sons, 1965
- Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA)
- A new dynamical framework of nonhydrostatic global model using the icosahedral grid
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- High-order semi-implicit time-integrators for a triangular discontinuous Galerkin oceanic shallow water model
- Basics and some applications of the mortar element method
- Error analysis of penalty function techniques for constraint definition in linear algebraic systems
- Semi-Implicit Formulations of the Navier–Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling
- Reduced integration technique in general analysis of plates and shells
