A 4th-order and single-cell-based advection scheme on unstructured grids using multi-moments

DOI10.1016/j.cpc.2005.07.003zbMath1196.76042OpenAlexW2048428892MaRDI QIDQ709825

D. Kharzeev

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2005.07.003

zbMATH Keywords

finite volume methodtransport equationunstructured meshconservationCIP

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12)

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Cites Work

• Unnamed Item
• Unified formulation for compressible and incompressible flows by using multi-integrated moments. I: One-dimensional inviscid compressible flow
• Spectral (finite) volume method for conservation laws on unstructured grids. II: Extension to two-dimensional scalar equation
• Weighted essentially non-oscillatory schemes on triangular meshes
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation
• A universal solver for hyperbolic equations by cubic-polynomial interpolation. I: One-dimensional solver
• A universal solver for hyperbolic equations by cubic-polynomial interpolation. II: Two- and three-dimensional solvers
• Constructing exactly conservative scheme in a non-conservative form
• Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation
• Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids
• An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods
• Evaluation of discontinuous Galerkin and spectral volume methods for scalar and system conservation laws on unstructured grids
• TVB Uniformly High-Order Schemes for Conservation Laws
• Total-Variation-Diminishing Time Discretizations
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Development of a highly accurate interpolation method for mesh-free flow simulations I. Integration of gridless, particle and CIP methods
• Completely conservative and oscillationless semi-Lagrangian schemes for advection transportation
• The constrained interpolation profile method for multiphase analysis.