P 1-Conservative Solution Interpolation on Unstructured Triangular Meshes

  title={P 1-Conservative Solution Interpolation on Unstructured Triangular Meshes},
  author={Fr{\'e}d{\'e}ric Alauzet and Michel Mehrenberger},
This document presents an interpolation operator on unstructured triangular meshes that verifies the properties of mass conservation, P-exactness (order 2) and maximum principle. This operator is important for the resolution of the conservation laws in CFD by means of mesh adaptation methods as the conservation properties is not verified throughout the computation. Indeed, the mass preservation can be crucial for the simulation accuracy. The conservation properties is achieved by local mesh… CONTINUE READING


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Adaptive sonic boom sensitivity analysis

F. Alauzet
In Proc. of ECCOMAS CFD, • 2006
View 3 Excerpts
Highly Influenced

A high order accurate conservative remapping method on staggered meshes

J. Cheng, C.-W. Shu
Appl. Numer. Math., • 2008
View 1 Excerpt

Mesh generation. Application to finite elements

P. J. Frey, P.-L. George
ISTE Ltd and John Wiley & Sons, • 2008
View 2 Excerpts

Positivity statements for a Mixed-Element- Volume scheme on fixed and moving grids

P.-H. Cournède, B. Koobus, A. Dervieux
European Journal of Computational Mechanics, • 2006
View 2 Excerpts

Theory and Practice of Finite Elements, volume 159 of Applied

A. Ern, J.-L. Guermond
View 1 Excerpt

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