Implicit solution of time spectral method for periodic unsteady flows

DOI10.1002/fld.2111zbMath1407.76089OpenAlexW2007149463MaRDI QIDQ3566957

Xinrong Su, Xin Yuan

Publication date: 10 June 2010

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.2111

zbMATH Keywords

finite volume methodGMRESmultigridsymmetric Gauss-Seidelperiodic unsteady flowtime spectral model

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Iterative numerical methods for linear systems (65F10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (7)

Implicit solution of harmonic balance equation system using the LU-SGS method and one-step Jacobi/Gauss-Seidel iteration ⋮ Comparative analysis of computational methods for periodic transonic flows at low and high frequencies ⋮ Comparative assessment of the harmonic balance Navier-Stokes technology for horizontal and vertical axis wind turbine aerodynamics ⋮ Harmonic balance developments in OpenFoam ⋮ A space-time lower–upper symmetric Gauss–Seidel scheme for the time-spectral method ⋮ Towards an optimal solver for time-spectral fluid-dynamic and aeroelastic solutions on unstructured meshes ⋮ An implicit time spectral method using adaptive stablization

Cites Work

• Solution of the Euler equations for two dimensional transonic flow by a multigrid method
• Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
• Approximate Riemann solvers, parameter vectors, and difference schemes
• A fast, matrix-free implicit method for compressible flows on unstructured grids
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• A linearized unsteady aerodynamic analysis for transonic cascades
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A specially combined lower-upper factored implicit scheme for three-dimensional compressible Navier-Stokes equations

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