Extension of centered hydrodynamical schemes to unstructured deforming conical meshes : the case of circles

DOI10.1051/proc/201238008zbMath1330.76082OpenAlexW2065970965MaRDI QIDQ3451623

Aude Bernard-Champmartin, Gerald Samba, Philippe Hoch, Michael Schaefer, Erwan Deriaz

Publication date: 17 November 2015

Published in: ESAIM: Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/proc/201238008

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Incompressible inviscid fluids (76Bxx)

Cites Work

• A new exceptional points method with application to cell-centered Lagrangian schemes and curved meshes
• Weak consistency of the cell-centered Lagrangian GLACE scheme on general meshes in any dimension
• A curvilinear finite-volume method to solve compressible gas dynamics in semi-Lagrangian coordinates
• A mathematical introduction to fluid mechanics
• A cell-centered Lagrangian hydrodynamics scheme on general unstructured meshes in arbitrary dimension
• Using a curvilinear grid to construct symmetry-preserving discretizations for Lagrangian gas dynamics
• How to preserve the mass fractions positivity when computing compressible multi-component flows
• Lagrangian gas dynamics in two dimensions and Lagrangian systems
• A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
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