Eigenmode analysis of boundary conditions for the one-dimensional preconditioned Euler equations

DOI10.1006/jcph.2000.6472zbMath0972.76065OpenAlexW2031597936MaRDI QIDQ1979143

Pierre Moinier, Michael B. Giles, David L. Darmofal

Publication date: 25 May 2000

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

Full work available at URL: https://semanticscholar.org/paper/90a1d27063ac85137d1d8ba0c2d67f3a2ba757de

zbMATH Keywords

local preconditioningmulti-stagesecond-order upwind schemeRoe approximate Riemann solverblock Jacobi relaxationlow Mach number computationsRiemann invariant boundary conditionssubsonic one-dimensional Euler equationsthree-level \(V\)-cycle

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) General aerodynamics and subsonic flows (76G25)

Related Items (10)

Alleviation of cancellation problem of preconditioned Navier-Stokes equations ⋮ Cancellation problem of preconditioning method at low Mach numbers ⋮ High-resolution multi-code implementation of unsteady Navier–Stokes flow solver based on paralleled overset adaptive mesh refinement and high-order low-dissipation hybrid schemes ⋮ Transient fluid-structure interaction with non-matching spatial and temporal discretizations ⋮ Stable, entropy-pressure compatible subsonic Riemann boundary condition for embedded DG compressible flow simulations ⋮ Effects of condition number on preconditioning for low Mach number flows ⋮ Preconditioned characteristic boundary conditions for solution of the preconditioned Euler equations at low Mach number flows ⋮ A discontinuous Galerkin finite element discretization of the Euler equations for compressible and incompressible fluids ⋮ Preconditioning of gas dynamics equations in compressible gas flow computations at low Mach numbers ⋮ Convergence characteristics of preconditioned Euler equations

Uses Software

• OVERFLOW

Cites Work

• Preconditioned methods for solving the incompressible and low speed compressible equations
• A new multigrid approach to convection problems
• Approximate Riemann solvers, parameter vectors, and difference schemes
• A high-resolution Euler solver based on multigrid, semi-coarsening, and defect correction
• A robust multigrid algorithm for the Euler equations with local preconditioning and semi-coarsening
• Assessment of preconditioning methods for multidimensional aerodynamics
• The application of preconditioning in viscous flows
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Preconditioning applied to variable and constant density flows
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