Implementation of Vortex Stretching into the Two-Dimensional Navier-Stokes Equations via Arbitrary External Straining

Sabetghadam, Fereidoun; Ghaffari, Seyed Amin; Dadashi, Mohammad Reza

doi:10.1007/978-3-642-03085-7_67

Cited by 1 publication

(4 citation statements)

References 2 publications

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“…In dealing with fluid/solid interaction problems, the oscillation of the hydrodynamic forces and moments during successive iterations calculated from Eqs. (29) and (30) causes some trouble in correctly predicting the accelerations. The hydrodynamic forces and moments acting on the body are used to calculate the linear and angular accelerations which in turn have impact on the predicted velocity vector and the trajectory of the solid.…”

Section: Denoising Of the Hydrodynamic Coefficientsmentioning

confidence: 99%

“…The oscillations are due to the nature of the penalization method see the discussion in [28], insufficient resolution, the approximative nature of Eqs. (29) and (30). The oscillations are like a noise and lead to an invalid result and even divergence of the simulations.…”

Section: Denoising Of the Hydrodynamic Coefficientsmentioning

confidence: 99%

“…Eqs. (29) and (30) provide the fluid forces and moment necessary to integrate the system of ODEs formed by Eqs. (33) and Eq.…”

Section: Body Dynamicsmentioning

confidence: 99%

“…To this end the method of quaternions is adapted to backbone kinematics description. Starting by the code developed in [29] we are applying compact finite differences to the vorticity stream-function formulation of the Navier-Stokes equations including the penalization term. An efficient direct method is presented for solving the Poisson equation.…”

Section: Introductionmentioning

confidence: 99%

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Simulation of forced deformable bodies interacting with two-dimensional incompressible flows: Application to fish-like swimming

Ghaffari

Viazzo

Schneider

et al. 2015

International Journal of Heat and Fluid Flow

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International audienceWe present an efficient algorithm for simulation of deformable bodies interacting with two-dimensional incompressible flows. The temporal and spatial discretizations of the Navier-Stokes equations in vorticity stream-function formulation are based on classical fourth-order Runge-Kutta and compact finite differences, respectively. Using a uniform Cartesian grid we benefit from the advantage of a new fourth-order direct solver for the Poisson equation to ensure the incompressibility constraint down to machine zero. For introducing a deformable body in fluid flow, the volume penalization method is used. A Lagrangian structured grid with prescribed motion covers the deformable body interacting with the surrounding fluid due to the hydrodynamic forces and moment calculated on the Eulerian reference grid. An efficient law for curvature control of an anguilliform fish, swimming to a prescribed goal, is proposed. Validation of the developed method shows the efficiency and expected accuracy of the algorithm for fish-like swimming and also for a variety of fluid/solid interaction problems

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Section: Denoising Of the Hydrodynamic Coefficientsmentioning

confidence: 99%