Two finite volume schemes for advection equation

DOI10.1007/978-3-030-87809-2_41OpenAlexW4295706059MaRDI QIDQ2091505

Alexander V. Vyatkin, Elena V. Kuchunova, Vladimir Viktorovich Shaydurov

Publication date: 1 November 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-87809-2_41

zbMATH Keywords

convergencefinite volume methodapproximationadvection equationGauss-Ostrogradsky theorem

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

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• High order semi-Lagrangian methods for the incompressible Navier-Stokes equations
• Semi-Lagrangian difference approximations with different stability requirements
• A computational realization of a semi-Lagrangian method for solving the advection equation
• Conservative semi-Lagrangian finite volume schemes
• Conservative semi-Lagrangian advection on adaptive unstructured meshes
• Convergence of a Fully Conservative Volume Corrected Characteristic Method for Transport Problems
• A summary of numerical methods for time-dependent advection-dominated partial differential equations

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