TY  - EJOU
AU  - Zhu, Luoding 

TI  - An IB Method for Non-Newtonian-Fluid Flexible-Structure Interactions in Three-Dimensions
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2019
VL  - 119
IS  - 1
SN  - 1526-1506

AB  - Problems involving fluid flexible-structure interactions (FFSI) are ubiquitous in engineering and sciences. Peskin’s immersed boundary (IB) method is the first framework for modeling and simulation of such problems. This paper addresses a three-dimensional extension of the IB framework for non-Newtonian fluids which include power-law fluid, Oldroyd-B fluid, and FENE-P fluid. The motion of the non-Newtonian fluids are modelled by the lattice Boltzmann equations (D3Q19 model). The differential constitutive equations of Oldroyd-B and FENE-P fluids are solved by the D3Q7 model. Numerical results indicate that the new method is first-order accurate and conditionally stable. To show the capability of the new method, it is tested on three FFSI toy problems: a power-law fluid past a flexible sheet fixed at its midline, a flexible sheet being flapped periodically at its midline in an Oldroyd-B fluid, and a flexible sheet being rotated at one edge in a FENE-P fluid.
KW  - Fluid flexible-structure interaction
KW  -  immersed boundary method
KW  -  lattice Boltzmann
KW  -  power-law
KW  -  Oldroyd-B
KW  -  FENE-P

DO  - 10.32604/cmes.2019.04828