Stable, non-dissipative, and conservative flux-reconstruction schemes in split forms
From MaRDI portal
Publication:1701278
DOI10.1016/j.jcp.2017.10.007zbMath1380.76091OpenAlexW2762892646MaRDI QIDQ1701278
Hisaichi Shibata, Taku Nonomura, Koji Miyaji, Issei Morinaka, Yoshiaki Abe, Takanori Haga
Publication date: 22 February 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2017.10.007
nondissipativehigh-order unstructured schemeskew symmetricsplit formflux-reconstruction schemeskinetic energy preservation
Related Items (max. 100)
An efficient lattice Boltzmann method for compressible aerodynamics on D3Q19 lattice ⋮ High-order accurate kinetic-energy and entropy preserving (KEEP) schemes on curvilinear grids ⋮ Nonlinearly stable flux reconstruction high-order methods in split form ⋮ On the use of split forms and wall modeling to enable accurate high-Reynolds number discontinuous Galerkin simulations on body-fitted unstructured grids ⋮ A stable and non-dissipative kinetic energy and entropy preserving (KEEP) scheme for non-conforming block boundaries on Cartesian grids ⋮ Entropy-stable multidimensional summation-by-parts discretizations on \textit{hp}-adaptive curvilinear grids for hyperbolic conservation laws ⋮ Provably stable flux reconstruction high-order methods on curvilinear elements ⋮ Modified wavenumber and aliasing errors of split convective forms for compressible flows ⋮ A kinetic energy and entropy preserving (KEEP) finite volume scheme on unstructured meshes for compressible flows ⋮ On the role of spectral properties of viscous flux discretization for flow simulations on marginally resolved grids ⋮ On the use of conservative formulation of energy equation in hybrid compressible lattice Boltzmann method ⋮ Impact of wall modeling on kinetic energy stability for the compressible Navier-Stokes equations ⋮ The spectral difference Raviart-Thomas method for two and three-dimensional elements and its connection with the flux reconstruction formulation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Review of summation-by-parts schemes for initial-boundary-value problems
- On the non-linear stability of flux reconstruction schemes
- Connections between the filtered discontinuous Galerkin method and the flux reconstruction approach to high order discretizations
- Stabilized non-dissipative approximations of Euler equations in generalized curvilinear coordinates
- On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods
- A new class of high-order energy stable flux reconstruction schemes
- Insights from von Neumann analysis of high-order flux reconstruction schemes
- 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
- On the freestream preservation of high-order conservative flux-reconstruction schemes
- Dealiasing techniques for high-order spectral element methods on regular and irregular grids
- Equivalence between the energy stable flux reconstruction and filtered discontinuous Galerkin schemes
- A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
- An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier--Stokes equations
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Compact finite difference schemes with spectral-like resolution
- Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations
- Fully conservative higher order finite difference schemes for incompressible flow
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- High-order fluxes for conservative skew-symmetric-like schemes in structured meshes: Application to compressible flows
- Conservative high-order flux-reconstruction schemes on moving and deforming grids
- A priori and a posteriori evaluations of sub-grid scale models for the Burgers' equation
- Extended skew-symmetric form for summation-by-parts operators and varying Jacobians
- The effect of the formulation of nonlinear terms on aliasing errors in spectral methods
- A kinetic energy preserving DG scheme based on Gauss-Legendre points
- Summation-by-parts operators for correction procedure via reconstruction
- Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations
- Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions
- Energy stable flux reconstruction schemes for advection-diffusion problems
- Reduced aliasing formulations of the convective terms within the Navier-Stokes equations for a compressible fluid
- Formulation of kinetic energy preserving conservative schemes for gas dynamics and direct numerical simulation of one-dimensional viscous compressible flow in a shock tube using entropy and kinetic energy preserving schemes
- Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I
- On the connections between discontinuous Galerkin and flux reconstruction schemes: extension to curvilinear meshes
- Generalized conservative approximations of split convective derivative operators
- Skew-symmetric form of convective terms and fully conservative finite difference schemes for variable density low-Mach number flows
- Strong Stability-Preserving High-Order Time Discretization Methods
- Why Nonconservative Schemes Converge to Wrong Solutions: Error Analysis
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Differential Formulation of Discontinuous Galerkin and Related Methods for the Navier-Stokes Equations
- A kinetic energy preserving nodal discontinuous Galerkin spectral element method
- Numerical Methods for High-Speed Flows
This page was built for publication: Stable, non-dissipative, and conservative flux-reconstruction schemes in split forms
