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A global procedure for flow and heat transfer simulation with complex obstacles on curvilinear grids
Arthur Sarthou 1, Stéphane Vincent 1, Jean-Paul Caltagirone 1, Philippe Angot 2
(01/02/2008)

A global methodology for simulating multiphase flows and heat transfers interacting with complex objects or interfaces is presented. Elliptic equations or Navier-Stokes equations are resolved on a fixed structured curvilinear grid and the solid objects are initially represented by triangular surface elements. Several difficulties arise as soon as these two non-conforming grids have to interact in the same physical problem, and accurate methods are presented for each issues: Lagrangian/Eulerian grid projection, immersed boundary of interface problems, and finally visualization. Hence, a new fast point-in-solid method for curvilinear grid is presented to project Lagrangian shapes on Eulerian grid. A new immersed boundary and interface method is presented, the Algebraic Immersed Interface method. Several validation and application problems are presented to demonstrate the interest and accuracy of the method.
1 :  Transferts, écoulements, fluides, énergétique (TREFLE)
CNRS : UMR8508 – Université Sciences et Technologies - Bordeaux I – École Nationale Supérieure de Chimie et de Physique de Bordeaux (ENSCPB) – Arts et Métiers ParisTech
2 :  Laboratoire d'Analyse, Topologie, Probabilités (LATP)
CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III
Informatique/Modélisation et simulation

Mathématiques/Analyse numérique

Physique/Physique/Physique Numérique
Multiphase flow – immersed boundary – computer graphics – scientific visualisation – curvilinear grid – Lagrangian/Eulerian projection – heat transfert
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