An efficient implicit direct forcing immersed boundary method for incompressible flows

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Cai, S.-G.^1 ; Ouahsine, A.^1 ; Smaoui, H.^1,2 ; Favier, J.^3 ; Hoarau, Y.^4

Laboratoire Roberval, UMR 7337, Université de Technologie de Compiègne Centre de Recherches de Royallieu, CS 60319, Compiègne Cedex

60203, France^1

Direction Technique Eau, Mer et Fleuves (CEREMA), 134 Rue de Beauvais, CS 60039, Margny-lès-Compiègne

60280, France^2

Laboratoire M2P2 UMR 7340, Aix Marseille Université, Marseille, France^3

Laboratoire ICube UMR 7357, Université de Strasbourg, Strasbourg, France^4

关键词: Artificial forces;    Immersed boundary methods;    Immersed objects;    Implicit treatment;    Lagrangian points;    Non-slip boundaries;    Pressure correction;    Projection method;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012165/pdf
DOI  :  10.1088/1742-6596/574/1/012165

来源: IOP

【 摘 要 】

A novel efficient implicit direct forcing immersed boundary method for incompressible flows with complex boundaries is presented. In the previous work [1], the calculation is performed on the Cartesian grid regardless of the immersed object, with a fictitious force evaluated on the Lagrangian points to mimic the presence of the physical boundaries. However the explicit direct forcing method [1] fails to accurately impose the non-slip boundary condition on the immersed interface. In the present work, the calculation is based on the implicit treatment of the artificial force while in an effective way of system iteration. The accuracy is also improved by solving the Navier-Stokes equation with the rotational incremental pressure- correction projection method of Guermond and Shen [2]. Numerical simulations performed with the proposed method are in good agreement with those in the literature.