Analysis of high-order-accurate fluctuation splitting schemes for steady advection

DOI10.1080/10618562.2010.521651zbMath1267.76065OpenAlexW2078683156MaRDI QIDQ2838621

G. Rossiello, P. De Palma, Michele Napolitano, Giuseppe Pascazio

Publication date: 10 July 2013

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618562.2010.521651

zbMATH Keywords

conservation lawsresidual distributionfluctuation splittingLagrangian elementssteady advection

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99)

Related Items (3)

A mass-matrix formulation of unsteady fluctuation splitting schemes consistent with Roe’s parameter vector ⋮ Computing unsteady compressible flows using Roe's flux-difference splitting scheme on GPUs ⋮ Residual distribution schemes for Maxwell's equations

Cites Work

• A multidimensional generalization of Roe's flux difference splitter for the Euler equations
• Residual distribution schemes for advection and advection--diffusion problems on quadrilateral cells
• Third-order-accurate fluctuation splitting schemes for unsteady hyperbolic problems
• Residual distribution schemes on quadrilateral meshes
• Construction of second order accurate monotone and stable residual distribution schemes for unsteady flow problems.
• High-order fluctuation schemes on triangular meshes
• Residual distribution for general time-dependent conservation laws
• A second-order-accurate monotone implicit fluctuation splitting scheme for unsteady problems
• Comparison of solution accuracy of multidimensional residual distribution and Godunov-type finite-volume methods
• Compact high-resolution algorithms for time-dependent advection on unstructured grids

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