scholarly journals An Immersed Boundary Method With Subgrid Resolution and Improved Numerical Stability Applied to Slender Bodies in Stokes Flow

2020 ◽  
Vol 42 (4) ◽  
pp. B847-B868
Author(s):  
Ondrej Maxian ◽  
Charles S. Peskin
Keyword(s):  
Stokes Flow ◽  
Immersed Boundary Method ◽  
Numerical Stability ◽  
Immersed Boundary ◽  
Boundary Method ◽  
Slender Bodies

scholarly journals Simulation of Fluid-Structure and Fluid-Mediated Structure-Structure Interactions in Stokes Regime Using Immersed Boundary Method

2014 ◽  
Vol 2014 ◽  
pp. 1-13
Author(s):  
Masoud Baghalnezhad ◽  
Abdolrahman Dadvand ◽  
Iraj Mirzaee
Keyword(s):  
Equilibrium State ◽  
Stokes Flow ◽  
Immersed Boundary Method ◽  
Deformable Body ◽  
Fluid Motion ◽  
Immersed Boundary ◽  
Immersed Interface Method ◽  
Computational Point ◽  
Fluid Structure ◽  
Boundary Method

The Stokes flow induced by the motion of an elastic massless filament immersed in a two-dimensional fluid is studied. Initially, the filament is deviated from its equilibrium state and the fluid is at rest. The filament will induce fluid motion while returning to its equilibrium state. Two different test cases are examined. In both cases, the motion of a fixed-end massless filament induces the fluid motion inside a square domain. However, in the second test case, a deformable circular string is placed in the square domain and its interaction with the Stokes flow induced by the filament motion is studied. The interaction between the fluid and deformable body/bodies can become very complicated from the computational point of view. An immersed boundary method is used in the present study. In order to substantiate the accuracy of the numerical method employed, the simulated results associated with the Stokes flow induced by the motion of an extending star string are compared well with those obtained by the immersed interface method. The results show the ability and accuracy of the IBM method in solving the complicated fluid-structure and fluid-mediated structure-structure interaction problems happening in a wide variety of engineering and biological systems.

Energy Harvesting From Vortical Flows by a Passive Heaving Foil

2016 ◽  
Author(s):  
Z. Wei ◽  
Z. Charlie Zheng
Keyword(s):  
Energy Harvesting ◽  
Immersed Boundary Method ◽  
Numerical Stability ◽  
Energy Harvester ◽  
Time Integration ◽  
Interaction Model ◽  
Immersed Boundary ◽  
Pressure Oscillations ◽  
Structure Interaction ◽  
Boundary Method

This paper studies energy harvesting of a two-dimensional foil in the wake downstream of a cylinder. The airfoil is passively mobile in the transverse direction. An immersed-boundary method with a fluid-structure interaction model is validated and employed to carry out the numerical simulation. For improving the numerical stability, a modified low-storage 3rd-order Runge-Kutta scheme is implemented for time integration. The performance of this temporal scheme on reducing spurious pressure oscillations of the immersed-boundary method is demonstrated. The simulation shows a foil emerged in a vortical wake achieves better energy harvesting performance than that in a uniform flow. The types of dynamic response for the energy harvester are identified and the properties of vortical wakes are found to be of pivotal importance in obtaining the desired periodic response of the foil.

A note on pressure accuracy in immersed boundary method for Stokes flow

2011 ◽  
Vol 230 (12) ◽  
pp. 4377-4383 ◽  
Author(s):  
Kuan-Yu Chen ◽  
Ko-An Feng ◽  
Yongsam Kim ◽  
Ming-Chih Lai
Keyword(s):  
Stokes Flow ◽  
Immersed Boundary Method ◽  
Immersed Boundary ◽  
Boundary Method
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