A \(p\)-multigrid spectral difference method with explicit and implicit smoothers on unstructured triangular grids

DOI10.1016/j.compfluid.2008.02.004zbMath1237.76113OpenAlexW2127430326MaRDI QIDQ416700

Chunlei Liang, Ravishekar Kannan, Zhi Jian Wang

Publication date: 10 May 2012

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2008.02.004

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Spectral methods applied to problems in fluid mechanics (76M22)

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Cites Work

• Unnamed Item
• \(p\)-multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
• Dispersion and dissipation properties of the 1D spectral volume method and application to a \(p\)-multigrid algorithm
• Spectral element multigrid. II: Theoretical justification
• Spectral element multigrid. I: Formulation and numerical results
• Approximate Riemann solvers, parameter vectors, and difference schemes
• A staggered-grid multidomain spectral method for the compressible Navier-Stokes equations
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• Galerkin and discontinuous Galerkin spectral/\(hp\) methods
• Average-state Jacobians and implicit methods for compressible viscous and turbulent flows
• Algebraic multigrid for higher-order finite elements
• A conservative staggered-grid Chebyshev multidomain method for compressible flows. II: A semi-structured method
• A semi-implicit discontinuous Galerkin finite element method for the numerical solution of inviscid compressible flow
• Implicit solution of the unsteady Euler equations for high-order accurate discontinuous Galerkin discretizations
• High-order discontinuous Galerkin methods using an \(hp\)-multigrid approach
• Spectral difference method for unstructured grids. I. Basic formulation
• A \(p\)-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids
• Extension of the spectral volume method to high-order boundary representation
• Spectral difference method for unstructured grids. II. Extension to the Euler equations
• The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
• A Multiple-Grid Scheme for Solving the Euler Equations
• Numerical Solution of the Euler Equations with a Multiorder Discontinuous Finite Element Method
• Behavior of linear reconstruction techniques on unstructured meshes
• An efficient implicit discontinuous spectral Galerkin method

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