Analysis of the implicit LU-SGS algorithm for 3rd- and 4th-order spectral volume scheme for solving the steady Navier-Stokes equations

DOI10.1016/j.jcp.2011.05.026zbMath1408.76157OpenAlexW2085170407MaRDI QIDQ655032

Matteo Parsani, Ghader Ghorbaniasl, Chris Lacor

Publication date: 28 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.05.026

zbMATH Keywords

Navier-Stokesvon Neumann analysis\(p\)-multigridhigh-order spectral volume methodimplicit LU-SGS algorithm

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Uses Software

• Gmsh

Cites Work

• Unnamed Item
• \(p\)-multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
• A study of viscous flux formulations for a \(p\)-multigrid spectral volume Navier Stokes solver
• Convergence acceleration of Runge-Kutta schemes for solving the Navier-Stokes equations
• Approximate Riemann solvers, parameter vectors, and difference schemes
• An accuracy and stability study of the 2D spectral volume method
• Implicit LU-SGS algorithm for high-order methods on unstructured grid with \(p\)-multigrid strategy for solving the steady Navier-Stokes equations
• Implicit Schemes and LU Decompositions
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Weak solutions of nonlinear hyperbolic equations and their numerical computation

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