Conservative correction procedures utilizing artificial dissipation operators

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)

Cites Work

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High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
The use of explicit filters in large eddy simulation
A high-wavenumber viscosity for high-resolution numerical methods
On high order strong stability preserving Runge-Kutta and multi step time discretizations
On the effect of numerical errors in large eddy simulations of turbulent flows
Explicit discontinuous spectral element method with entropy generation based artificial viscosity for shocked viscous flows
Higher entropy conservation and numerical stability of compressible turbulence simulations
Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
Assessment of localized artificial diffusivity scheme for large-eddy simulation of compressible turbulent flows
A fully discrete, kinetic energy consistent finite volume scheme for compressible flows
A shock-capturing methodology based on adaptative spatial filtering for high-order non-linear computations
A systematic methodology for constructing high-order energy stable WENO schemes
A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
Skew-selfadjoint form for systems of conservation laws
A general class of commutative filters for LES in complex geometries
Low-dissipative high-order shock-capturing methods using characteristic-based filters
Fully conservative higher order finite difference schemes for incompressible flow
Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
Development and analysis of high-order vorticity confinement schemes
On the properties of discrete spatial filters for CFD
Implicit LES using adaptive filtering
Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators
Comparison of conservative and rotational forms in large eddy simulation of turbulent channel flow
A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes
Comparison of artificial-dissipation and solution-filtering stabilization schemes for time-accurate simulations
Conservative scheme compatible with some other conservation laws: conservation of the local angular momentum
Relaxation deferred correction methods and their applications to residual distribution schemes
A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics
High order entropy preserving ADER-DG schemes
Numerical treatment of the energy equation in compressible flows simulations
Analysis of a higher-order vorticity confinement scheme in flux correction form
Viscous and hyperviscous filtering for direct and large-eddy simulation
A new kinetic-energy-preserving method based on the convective rotational form
Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization
Comprehensive analysis of entropy conservation property of non-dissipative schemes for compressible flows: KEEP scheme redefined
Positivity-preserving entropy-based adaptive filtering for discontinuous spectral element methods
Entropy stable numerical approximations for the isothermal and polytropic Euler equations
Numerically stable formulations of convective terms for turbulent compressible flows
Entropy stable artificial dissipation based on Brenner regularization of the Navier-Stokes equations
Commutative recursive filters for explicit-filter large-eddy simulation of turbulent flows
Smoothness-increasing accuracy-conserving (SIAC) filtering for discontinuous Galerkin solutions over nonuniform meshes: superconvergence and optimal accuracy
Entropy stable method for the Euler equations revisited: central differencing via entropy splitting and SBP
Stable and accurate filtering procedures
Entropy-stable, high-order summation-by-parts discretizations without interface penalties
Formulation of entropy-stable schemes for the multicomponent compressible Euler equations
Non-linear stabilization of high-order flux reconstruction schemes via Fourier-spectral filtering
Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions
Reduced aliasing formulations of the convective terms within the Navier-Stokes equations for a compressible fluid
The construction of discretely conservative finite volume schemes that also globally conserve energy or entropy
Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I
Skew-symmetric form of convective terms and fully conservative finite difference schemes for variable density low-Mach number flows
Global and local conservation of mass, momentum and kinetic energy in the simulation of compressible flow
On the performance of relaxation filtering for large-eddy simulation
High-Order Narrow Stencil Finite-Difference Approximations of Second-Order Derivatives Involving Variable Coefficients
Artificial fluid properties for large-eddy simulation of compressible turbulent mixing
The adjoint filter operator in large-eddy simulation of turbulent flow
Linear Filtering
Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
Fully Discrete, Entropy Conservative Schemes of ArbitraryOrder
Thermodynamically compatible discretization of a compressible two-fluid model with two entropy inequalities
Analysis of the SBP-SAT stabilization for finite element methods. II: Entropy stability
Stabilizing discontinuous Galerkin methods using Dafermos' entropy rate criterion. I: One-dimensional conservation laws
High-order methods for hypersonic flows with strong shocks and real chemistry
Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: global flux quadrature and cell entropy correction

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