An immersed boundary/level-set method for incompressible viscous flows in complex geometries with good conservation properties

2009 ◽  
Vol 18 (7-8) ◽  
pp. 561-587 ◽  
Author(s):  
Yoann Cheny ◽  
Olivier Botella
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Viscous Flows ◽  
Immersed Boundary ◽  
Complex Geometries ◽  
Incompressible Viscous Flows

scholarly journals An immersed boundary/level-set method for incompressible viscous flows in complex geometries with good conservation properties

2009 ◽  
pp. 561-587
Author(s):  
Yoann Cheny ◽  
Olivier Botella
Keyword(s):  
Level Set ◽  
Viscous Flows ◽  
Immersed Boundary ◽  
Implicit Representation ◽  
Irregular Boundary ◽  
Level Set Function ◽  
Incompressible Viscous Flows ◽  
Irregular Geometries ◽  
Set Function ◽  
Ib Method

This paper concerns the development of a new Cartesian grid / immersed boundary (IB) method for the computation of incompressible viscous flows in irregular geometries. In IB methods, the computational grid is not aligned with the irregular boundary, and of upmost importance for accuracy and stability is the discretization in cells which are “cut" by the boundary. In this paper, we present an IB method (the LS-STAG method) based on the Cartesian MAC method where the irregular boundary is represented by its level-set function. This implicit representation of the immersed boundary enables us to discretize efficiently the fluxes in the cut-cells by imposing the strict conservation of total kinetic energy at the discrete level. The accuracy and robustness of our method are assessed on benchmark flows.

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