Residual distribution schemes for advection and advection--diffusion problems on quadrilateral cells

DOI10.1016/j.jcp.2006.02.003zbMath1104.65090OpenAlexW2008429937MaRDI QIDQ853180

P. De Palma, D. T. Rubino, Michele Napolitano, Giuseppe Pascazio

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.02.003

zbMATH Keywords

numerical experimentsFourier analysiserror analysisadvection-diffusion problemsResidual distributionsteady scalar conservation law

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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A multidimensional HLL-Riemann solver for non-linear hyperbolic systems, Improved second-order hyperbolic residual-distribution scheme and its extension to third-order on arbitrary triangular grids, High-order shock-capturing hyperbolic residual-distribution schemes on irregular triangular grids, Residual distribution schemes for advection and advection--diffusion problems on quadrilateral cells, Third-order-accurate fluctuation splitting schemes for unsteady hyperbolic problems, Robust and accurate viscous discretization via upwind scheme. I: Basic principle, High-resolution finite volume methods on unstructured grids for turbulence and aeroacoustics, A first-order system approach for diffusion equation. I: Second-order residual-distribution schemes, Non-unified compact residual-distribution methods for scalar advection-diffusion problems, Analysis of high-order-accurate fluctuation splitting schemes for steady advection

Cites Work

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