Explicit discontinuous spectral element method with entropy generation based artificial viscosity for shocked viscous flows
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Publication:680087
DOI10.1016/j.jcp.2016.11.042zbMath1378.76040OpenAlexW2560142783MaRDI QIDQ680087
Publication date: 22 January 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2016.11.042
artificial viscosityadaptive filterviscous compressible flowsdiscontinuous spectral elementshock sensorsupersonic cavity flow
Finite difference methods applied to problems in fluid mechanics (76M20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Supersonic flows (76J20)
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Cites Work
- Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes
- Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes
- Discontinuous Galerkin method for multicomponent chemically reacting flows and combustion
- High-order discontinuous Galerkin computation of axisymmetric transonic flows in safety relief valves
- A minimum entropy principle of high order schemes for gas dynamics equations
- Implementation of the entropy viscosity method with the discontinuous Galerkin method
- Adaptive mesh refinement based on high order finite difference WENO scheme for multi-scale simulations
- Entropy viscosity method for nonlinear conservation laws
- Discontinuous Galerkin methods applied to shock and blast problems
- On the use of immersed boundary methods for shock/obstacle interactions
- High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
- Finite volume WENO methods for hyperbolic conservation laws on Cartesian grids with adaptive mesh refinement
- High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes
- A massively parallel multi-block hybrid compact WENO scheme for compressible flows
- Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves
- Shock capturing with PDE-based artificial viscosity for DGFEM. I: Formulation
- Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes
- Numerical simulation of the viscous shock tube problem by using a high resolution monotonicity-preserving scheme
- A high-order WENO-Z finite difference based particle-source-in-cell method for computation of particle-laden flows with shocks
- A stable and conservative high order multi-block method for the compressible Navier-Stokes equations
- 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
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Family of spectral filters for discontinuous problems
- Weighted essentially non-oscillatory schemes on triangular meshes
- A staggered-grid multidomain spectral method for the compressible Navier-Stokes equations
- Large-eddy simulation of the shock/turbulence interaction
- Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Aspects of discontinuous Galerkin methods for hyperbolic conservation laws
- The multi-dimensional limiters for discontinuous Galerkin method on unstructured grids
- Computation of flows with shocks using the spectral difference method with artificial viscosity. I: Basic formulation and application
- Shock capturing with entropy-based artificial viscosity for staggered grid discontinuous spectral element method
- A limiting approach for DG discretizations on mixed type meshes
- Simulation of a viscous compressible flow past a circular cylinder with high-order discontinuous Galerkin methods
- Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows. I: General formulation.
- Grid convergence of high order methods for multiscale complex unsteady viscous compressible flows.
- A conservative staggered-grid Chebyshev multidomain method for compressible flows
- A robust reconstruction for unstructured WENO schemes
- Efficient implementation of high order unstructured WENO schemes for cavitating flows
- High-order resolution Eulerian-Lagrangian simulations of particle dispersion in the accelerated flow behind a moving shock
- High order discontinuous Galerkin discretizations with a new limiting approach and positivity preservation for strong moving shocks
- Tracking discontinuities in hyperbolic conservation laws with spectral accuracy
- A dynamic \(p\)-adaptive discontinuous Galerkin method for viscous flow with shocks
- Limiters for high-order discontinuous Galerkin methods
- Turbulence in supersonic boundary layers at moderate Reynolds number
- On high-order accurate weighted essentially non-oscillatory and discontinuous Galerkin schemes for compressible turbulence simulations
- Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method
- Implementing Spectral Methods for Partial Differential Equations
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
- Residual‐based artificial viscosity for simulation of turbulent compressible flow using adaptive finite element methods
- Numerical Methods for High-Speed Flows
- Fluid Mechanics
- Adaptive discontinuous Galerkin methods with shock‐capturing for the compressible Navier–Stokes equations
- A Method for the Numerical Calculation of Hydrodynamic Shocks
- Evaluation of TVD high-resolution schemes for unsteady viscous shocked flows
- Devising discontinuous Galerkin methods for nonlinear hyperbolic conservation laws
- A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods
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