A statically condensed discontinuous Galerkin spectral element method on Gauss-Lobatto nodes for the compressible Navier-Stokes equations
From MaRDI portal
Publication:2127021
DOI10.1016/j.jcp.2020.109953OpenAlexW3097727505WikidataQ114163482 ScholiaQ114163482MaRDI QIDQ2127021
Esteban Ferrer, Eusebio Valero, Gonzalo Rubio, David A. Kopriva, Andrés Mauricio Rueda-Ramírez
Publication date: 19 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.02366
static condensationdiscontinuous Galerkin spectral element method (DGSEM)Gauss-Lobattoimplicit time-integrationhigh-order discontinuous Galerkin
Related Items
An entropy-stable discontinuous Galerkin approximation of the Spalart-Allmaras turbulence model for the compressible Reynolds averaged Navier-Stokes equations, Implicit two-derivative deferred correction time discretization for the discontinuous Galerkin method, Accelerating high order discontinuous Galerkin solvers using neural networks: 3D compressible Navier-Stokes equations, Entropy-stable Gauss collocation methods for ideal magneto-hydrodynamics
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin
- A minimum entropy principle in the gas dynamics equations
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- On the effect of numerical errors in large eddy simulations of turbulent flows
- \(h\)-multigrid agglomeration based solution strategies for discontinuous Galerkin discretizations of incompressible flow problems
- Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation
- From \(h\) to \(p\) efficiently: implementing finite and spectral/hp element methods to achieve optimal performance for low- and high-order discretisations
- An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations
- Skew-selfadjoint form for systems of conservation laws
- Spectral element multigrid. I: Formulation and numerical results
- Low-storage Runge-Kutta schemes
- A triangular spectral element method; applications to the incompressible Navier-Stokes equations.
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- The BR1 scheme is stable for the compressible Navier-Stokes equations
- Linearly implicit Rosenbrock-type Runge-Kutta schemes applied to the discontinuous Galerkin solution of compressible and incompressible unsteady flows
- Insights on aliasing driven instabilities for advection equations with application to Gauss-Lobatto discontinuous Galerkin methods
- The Bassi Rebay 1 scheme is a special case of the symmetric interior penalty formulation for discontinuous Galerkin discretisations with Gauss-Lobatto points
- The discontinuous Galerkin spectral element methods for compressible flows on two-dimensional mixed grids
- Stage-parallel fully implicit Runge-Kutta solvers for discontinuous Galerkin fluid simulations
- The hybridized discontinuous Galerkin method for implicit large-eddy simulation of transitional turbulent flows
- An interior penalty stabilised incompressible discontinuous Galerkin-Fourier solver for implicit large eddy simulations
- Approximate tensor-product preconditioners for very high order discontinuous Galerkin methods
- Truncation error estimation in the p-anisotropic discontinuous Galerkin spectral element method
- An explicit expression for the penalty parameter of the interior penalty method
- A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations
- Advantages of static condensation in implicit compressible Navier-Stokes DGSEM solvers
- An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. I: Theory and numerical verification
- A p-multigrid strategy with anisotropic p-adaptation based on truncation errors for high-order discontinuous Galerkin methods
- Implicit solution of the unsteady Euler equations for high-order accurate discontinuous Galerkin discretizations
- Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations
- A high order discontinuous Galerkin-Fourier incompressible 3D Navier-Stokes solver with rotating sliding meshes
- Preconditioning for modal discontinuous Galerkin methods for unsteady 3D Navier-Stokes equations
- Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions
- High-order discontinuous Galerkin methods using an \(hp\)-multigrid approach
- An Algorithm for Computing Fekete Points in the Triangle
- A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
- Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
- A Comparison of the Dispersion and Dissipation Errors of Gauss and Gauss–Lobatto Discontinuous Galerkin Spectral Element Methods
- Hybridized globally divergence-free LDG methods. Part I: The Stokes problem
- On 2D elliptic discontinuous Galerkin methods
- A space-time discontinuous Galerkin method for the solution of the wave equation in the time domain
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Implementing Spectral Methods for Partial Differential Equations
- Newton-GMRES Preconditioning for Discontinuous Galerkin Discretizations of the Navier–Stokes Equations
- A hybridizable discontinuous Galerkin method for linear elasticity
- LAPACK Users' Guide
- Computation of electromagnetic scattering with a non‐conforming discontinuous spectral element method
- ARPACK Users' Guide
- From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex
- Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- High‐order CFD methods: current status and perspective
- Efficient Entropy Stable Gauss Collocation Methods
- The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems
- An updated set of basic linear algebra subprograms (BLAS)
- PETSc/TS
