Artificial viscosity-based shock capturing scheme for the spectral difference method on simplicial elements

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Shock waves and blast waves in fluid mechanics (76Lxx)

Cites Work

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Adaptive discontinuous Galerkin methods for non-linear reactive flows
Towards shock-stable and accurate hypersonic heating computations: a new pressure flux for AUSM-family schemes
Directional artificial fluid properties for compressible large-eddy simulation
On the accuracy and efficiency of discontinuous Galerkin, spectral difference and correction procedure via reconstruction methods
Recent developments in discontinuous Galerkin finite element methods for partial differential equations. Papers based on the 2012 John H. Barrett memorial lectures, Knoxville, TN, USA, May 9--11, 2012
A \(p\)-multigrid spectral difference method with explicit and implicit smoothers on unstructured triangular grids
A high-wavenumber viscosity for high-resolution numerical methods
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
On the stability and accuracy of the spectral difference method
An entropy-residual shock detector for solving conservation laws using high-order discontinuous Galerkin methods
A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves
Assessment of localized artificial diffusivity scheme for large-eddy simulation of compressible turbulent flows
Shock capturing with PDE-based artificial viscosity for DGFEM. I: Formulation
Localized artificial diffusivity scheme for discontinuity capturing on curvilinear meshes
Numerical simulation of the viscous shock tube problem by using a high resolution monotonicity-preserving scheme
The numerical simulation of two-dimensional fluid flow with strong shocks
Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
Spectral methods on triangles and other domains
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
Large-eddy simulation of the shock/turbulence interaction
Parallel, adaptive finite element methods for conservation laws
Conservation equations of gasdynamics in curvilinear coordinate systems
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
Shock-vortex interactions at high Mach numbers
High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations.
Spectral (finite) volume method for conservation laws on unstructured grids. IV: Extension to two-dimensional systems.
Computation of flows with shocks using the spectral difference method with artificial viscosity. I: Basic formulation and application
Computation of flows with shocks using the spectral difference method with artificial viscosity. II: Modified formulation with local mesh refinement
Shock capturing with entropy-based artificial viscosity for staggered grid discontinuous spectral element method
Characteristic modal shock detection for discontinuous finite element methods
A new high-order spectral difference method for simulating viscous flows on unstructured grids with mixed-element meshes
Hyperviscosity for shock-turbulence interactions
Spectral element filtering techniques for large eddy simulation with dynamic estimation.
Theory and practice of finite elements.
A conservative staggered-grid Chebyshev multidomain method for compressible flows
A relaxed \textit{a posteriori} MOOD algorithm for multicomponent compressible flows using high-order finite-volume methods on unstructured meshes
A p-adaptive discontinuous Galerkin method with hp-shock capturing
A stable spectral difference approach for computations with triangular and hybrid grids up to the \(6^{th}\) order of accuracy
Accuracy, stability, and performance comparison between the spectral difference and flux reconstruction schemes
Entropy preserving low dissipative shock capturing with wave-characteristic based sensor for high-order methods
WENO schemes on unstructured meshes using a relaxed \textit{a posteriori} MOOD limiting approach
On a robust and accurate localized artificial diffusivity scheme for the high-order flux-reconstruction method
Artificial viscosity to cure the shock instability in high-order Godunov-type schemes
A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
On alternative setups of the double Mach reflection problem
Limiters for high-order discontinuous Galerkin methods
On the connection between the spectral volume and the spectral difference method
Spectral difference method for unstructured grids. I. Basic formulation
Spectral difference method for unstructured grids. II. Extension to the Euler equations
Artificial fluid properties for large-eddy simulation of compressible turbulent mixing
TVB Uniformly High-Order Schemes for Conservation Laws
A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
Two-dimensional weak shock-vortex interaction in a mixing zone
Higher‐order and adaptive discontinuous Galerkin methods with shock‐capturing applied to transonic turbulent delta wing flow
An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method
Discontinuous Galerkin Method
Spectral Methods
The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems
On the Connection Between the Spectral Difference Method and the Discontinuous Galerkin Method
hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods

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