Computation of flows with shocks using the spectral difference method with artificial viscosity. I: Basic formulation and application
DOI10.1016/j.compfluid.2013.12.013zbMath1391.76488OpenAlexW2009622845MaRDI QIDQ1641431
Sachin Premasuthan, Chunlei Liang, Anthony Jameson
Publication date: 19 June 2018
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.compfluid.2013.12.013
Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Spectral methods applied to problems in fluid mechanics (76M22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (22)
Cites Work
- Unnamed Item
- A stable high-order spectral difference method for hyperbolic conservation laws on triangular elements
- A high-wavenumber viscosity for high-resolution numerical methods
- On the stability and accuracy of the spectral difference method
- A proof of the stability of the spectral difference method for all orders of accuracy
- A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
- Suitability of artificial bulk viscosity for large-eddy simulation of turbulent flows with shocks
- Shock capturing with PDE-based artificial viscosity for DGFEM. I: Formulation
- An artificial nonlinear diffusivity method for supersonic reacting flows with shocks
- Localized artificial diffusivity scheme for discontinuity capturing on curvilinear meshes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- High-order accurate discontinuous finite element solution of the 2D Euler equations
- Hyperviscosity for shock-turbulence interactions
- A conservative staggered-grid Chebyshev multidomain method for compressible flows. II: A semi-structured method
- Spectral element filtering techniques for large eddy simulation with dynamic estimation.
- A conservative staggered-grid Chebyshev multidomain method for compressible flows
- Spectral difference method for unstructured grids. I. Basic formulation
- A \(p\)-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids
- Extension of the spectral volume method to high-order boundary representation
- Spectral (finite) volume method for conservation laws on unstructured grids V: Extension to three-dimensional systems
- Spectral difference method for unstructured grids. II. Extension to the Euler equations
- Adaptive Unstructured Mesh Refinement of Supersonic Channel Flows
- A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
- A Method for the Numerical Calculation of Hydrodynamic Shocks
This page was built for publication: Computation of flows with shocks using the spectral difference method with artificial viscosity. I: Basic formulation and application