The LS-STAG method: A new immersed boundary/level-set method for the computation of incompressible viscous flows in complex moving geometries with good conservation properties

2010 ◽  
Vol 229 (4) ◽  
pp. 1043-1076 ◽  
Author(s):  
Yoann Cheny ◽  
Olivier Botella
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Viscous Flows ◽  
Immersed Boundary ◽  
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.

Simulation of Incompressible Viscous Flows by Local DFD-Immersed Boundary Method

2012 ◽  
Vol 4 (03) ◽  
pp. 311-324 ◽  
Author(s):  
Y. L. Wu ◽  
C. Shu ◽  
H. Ding
Keyword(s):  
Immersed Boundary Method ◽  
Stokes Equations ◽  
Viscous Flows ◽  
Slip Boundary Condition ◽  
Present Approach ◽  
Immersed Boundary ◽  
Local Domain ◽  
Slip Boundary ◽  
Incompressible Viscous Flows ◽  
Boundary Method

AbstractA local domain-free discretization-immersed boundary method (DFD-IBM) is presented in this paper to solve incompressible Navier-Stokes equations in the primitive variable form. Like the conventional immersed boundary method (IBM), the local DFD-IBM solves the governing equations in the whole domain including exterior and interior of the immersed object. The effect of immersed boundary to the surrounding fluids is through the evaluation of velocity at interior and exterior dependent points. To be specific, the velocity at interior dependent points is computed by approximate forms of solution and the velocity at exterior dependent points is set to the wall velocity. As compared to the conventional IBM, the present approach accurately implements the non-slip boundary condition. As a result, there is no flow penetration, which is often appeared in the conventional IBM results. The present approach is validated by its application to simulate incompressible viscous flows around a circular cylinder. The obtained numerical results agree very well with the data in the literature.

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