Stability analysis of preconditioned approximations of the Euler equations on unstructured meshes

Journal of Computational Physics

Volumn 178, Issue 2, 2002, Pages 498-519

  Moinier, P ^a   Giles, M B ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; MACH NUMBER; NAVIER STOKES EQUATIONS; RUNGE KUTTA METHODS; STABILITY;

DISCRETIZATIONS; EDGE-BASED DATA STRUCTURES; EULER'S EQUATION; FIRST ORDER; JACOBI PRECONDITIONER; PAPER ANALYSIS; STABILITY ANALYZE; TIME MARCHING; UNSTRUCTURED GRID; UNSTRUCTURED MESHES;

EULER EQUATIONS;

EID: 0037141108     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2002.7038     Document Type: Article

References (31)

1. Optimal time splitting for two- and three-dimensional Navier-Stokes equations with mixed derivatives
2. Implicit Multigrid Algorithms for Incompressible Turbulent Flows on Unstructured Grids
3. An Unstructured Mesh Newton Solver for Compressible Fluid Flow and Its Parallel Implementation
4. Aerofoil RAE 2822 - Pressure Distributions and Boundary Layer and Wake Measurements
5. The importance of eigenvectors for local preconditioners of the Euler equations
6. A robust multigrid algorithm for the Euler equations with local preconditioning and semi-coarsening
7. Aerodynamic Optimization Based on the Euler and Navier-Stokes Equations Using Unstructured Grids
8. On the stability and convergence of discretisations of initial value p.d.e.s
9. Stability analysis of a Galerkin/Runge-Kutta Navier-Stokes discretisation on unstructured tetrahedral grids
10. Incompletely parabolic problems in fluid dynamics
11. Multi-Grid Convergence Theory
12. High resolution schemes for conservation laws
13. Recent Enhancements to OVERFLOW
14. Stepsize restrictions for stability in the numerical solution of ordinary and partial differential equations
15. Local Preconditioning of the Euler Equations
16. On the use of stability regions in the numerical analysis of initial value problems
17. Calculations of Viscous Flows with a Multigrid Method
18. Multigrid Strategies for Viscous Flow Solvers on Anisotropic Unstructured Meshes
19. Algorithm Developments for an Unstructured Viscous Flow Solver
20. Edge-Based Multigrid and Preconditioning for Hybrid Grids
21. Towards problem-independent multigrid convergence rates for unstructured mesh methods I: Inviscid and laminar flows
22. Preconditioned Multigrid Methods for Compressible Flow Calculations on Stretched Meshes
23. Preconditioned multigrid methods for compressible flow calculations on stretched meshes
24. Stability of the method of lines
25. A one-equation turbulence model for aerodynamic flows
26. Preconditioning methods for solving the incompressible and low speed compressible equations
27. Preconditioning-Squared Methods for Multidimensional Aerodynamics
28. Preconditioning Methods for Low-Speed Flows
29. Characteristic Time-Stepping or Local Preconditioning for the Euler Equations
30. Preconditioning applied to variable and constant density flows