A new direct discontinuous Galerkin method with interface correction for two-dimensional compressible Navier-Stokes equations
From MaRDI portal
Publication:2133582
DOI10.1016/j.jcp.2021.110904OpenAlexW3154451003MaRDI QIDQ2133582
Publication date: 4 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.09767
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
Related Items
A conservative sharp-interface numerical method for two-dimensional compressible two-phase flows, A generalized framework for direct discontinuous Galerkin methods for nonlinear diffusion equations
Cites Work
- Unnamed Item
- Unnamed Item
- A reference solution of the flow over a circular cylinder at \(Re = 40\)
- The direct discontinuous Galerkin (DDG) viscous flux scheme for the high order spectral volume method
- High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics
- Mathematical aspects of discontinuous Galerkin methods.
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- Third order maximum-principle-satisfying direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangular meshes
- High order symmetric direct discontinuous Galerkin method for elliptic interface problems with fitted mesh
- An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Compact finite difference schemes with spectral-like resolution
- Advanced numerical approximation of nonlinear hyperbolic equations. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C. I. M. E.) held in Cetraro, Italy, June 23--28, 1997
- Analysis and development of adjoint-based h-adaptive direct discontinuous Galerkin method for the compressible Navier-Stokes equations
- A reconstructed direct discontinuous Galerkin method for simulating the compressible laminar and turbulent flows on hybrid grids
- A direct discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids
- Fourier type super convergence study on DDGIC and symmetric DDG methods
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations
- A new nonsymmetric discontinuous Galerkin method for time dependent convection diffusion equations
- Discontinuous Galerkin solution of the Reynolds-averaged Navier-Stokes and \(k-\omega\) turbulence model equations
- A sparse and high-order accurate line-based discontinuous Galerkin method for unstructured meshes
- Spectral (finite) volume method for conservation laws on unstructured grids. VI: Extension to viscous flow
- Strong Stability-Preserving High-Order Time Discretization Methods
- Two-dimensional compressible viscous flow around a circular cylinder
- Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Implementing Spectral Methods for Partial Differential Equations
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Finite Element Methods for Elliptic Equations Using Nonconforming Elements
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- High‐order CFD methods: current status and perspective
- A New Direct Discontinuous Galerkin Method with Symmetric Structure for Nonlinear Diffusion Equations
- A Direct Discontinuous Galerkin Method with Interface Correction for the Compressible Navier-Stokes Equations on Unstructured Grids
- A Symmetric Direct Discontinuous Galerkin Method for the Compressible Navier-Stokes Equations
- A Parallel, High-Order Direct Discontinuous Galerkin Method for the Navier-Stokes Equations on 3D Hybrid Grids
- The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections
- The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems
- The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems
- Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent Developments