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

DOI10.1006/jcph.2002.7038zbMath1139.76331OpenAlexW2107416674MaRDI QIDQ1601540

Pierre Moinier, Michael B. Giles

Publication date: 26 June 2002

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/065c00f6455e3d4a956b1f40ead5887e89e1a480

Mathematics Subject Classification ID

Related Items (4)

A novel approach to mesh optimization to stabilize unstructured finite volume simulations ⋮ Unstructured-grid finite-volume discretization of the Navier-Stokes equations based on high-resolution difference schemes ⋮ An efficient parallel/unstructured-multigrid preconditioned implicit method for simulating 3D unsteady compressible flows with moving objects ⋮ A unifying grid approach for solving potential flows applicable to structured and unstructured grid configurations

Uses Software

• OVERFLOW
• Spalart-Allmaras

Cites Work

• Unnamed Item
• Stability of the method of lines
• High resolution schemes for hyperbolic conservation laws
• Stepsize restrictions for stability in the numerical solution of ordinary and partial differential equations
• Preconditioned methods for solving the incompressible and low speed compressible equations
• Optimal time splitting for two- and three-dimensional Navier-Stokes equations with mixed derivatives
• Multigrid strategies for viscous flow solvers on anisotropic unstructured meshes
• A robust multigrid algorithm for the Euler equations with local preconditioning and semi-coarsening
• Stability analysis of a Galerkin/Runge-Kutta Navier-Stokes discretisation on unstructured tetrahedral grids
• Preconditioned multigrid methods for compressible flow calculations on stretched meshes
• Implicit/multigrid algorithms for incompressible turbulent flows on unstructured grids
• The importance of eigenvectors for local preconditioners of the Euler equations
• On the Use of Stability Regions in the Numerical Analysis of Initial Value Problems
• Incompletely Parabolic Problems in Fluid Dynamics
• On the stability and convergence of discretizations of initial value p.d.e.s
• Multigrid acceleration of an upwind Euler solver on unstructured meshes
• Preconditioning applied to variable and constant density flows

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