Modeling Fluid Flow Induced by C. elegans Swimming at Low Reynolds Number

Gutierrez, J. Gustavo; Sorenson, M. W.; Strawbridge, Eva

doi:10.1007/978-3-319-13749-0_7

Cited by 4 publications

(3 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The method of images for a planar surface has been adapted to be used in combination with the method of regularized Stokeslets [19,20]. Applications of the planar regularized images can be found in [21,22,23,24,25,26,27,28,29]. On the other hand, thus far, the image system for flows bounded by a sphere applies only to singular solutions (Stokeslet) in the flow.…”

Section: Regularized Stokesletsmentioning

confidence: 99%

See 1 more Smart Citation

Regularized image system for Stokes flow outside a solid sphere

Wróbel

Cortez

Varela

et al. 2016

Journal of Computational Physics

View full text Add to dashboard Cite

The image system for a three-dimensional flow generated by regularized forces outside a solid sphere is formulated and implemented as an extension of the method of regularized Stokeslets. The method is based on replacing a point force given by a delta distribution with a smooth localized function and deriving the exact velocity field produced by the forcing. In order to satisfy zero-flow boundary conditions at a solid sphere, the image system for singular Stokeslets is generalized to give exact cancellation of the regularized flow at the surface of the sphere. The regularized image system contains the same elements as the singular counterpart but with coefficients that depend on a regularization parameter. As this parameter vanishes, the expressions reduce to the image system of the singular Stokeslet. The expression relating force and velocity can be inverted to compute the forces that generate a given velocity boundary condition elsewhere in the flow. We present several examples within the context of biological flows at the microscale in order to validate and highlight the usefulness of the image system in computations.

show abstract

Section: Regularized Stokesletsmentioning

confidence: 99%

“…(19)-(21) with coefficients given in Eq. (23). In practice the integrals are computed analytically and computed as a single element at the image point.…”

Section: Transverse Forcesmentioning

confidence: 99%

Regularized image system for Stokes flow outside a solid sphere

Wróbel

Cortez

Varela

et al. 2016

Journal of Computational Physics

View full text Add to dashboard Cite

show abstract

“…Low Re corresponds to situations in which viscous forces are much greater than inertial forces. Many computational models of nematodes have only considered the low Reynolds limit, i.e., the Stokes flow Regime (Re = 0) [21,22,23]. However, anguilliform swimming gaits are observed in other organisms, such as fly larva, leeches, eels, or lamprey [24,25,26,27].…”

Section: Introductionmentioning

confidence: 99%

Diving into a simple anguilliform swimmer's sensitivity

Battista¹

2020

Preprint

View full text Add to dashboard Cite

Computational models of aquatic locomotion range from individual modest simple swimmers in 2D to sophisticated 3D individual swimmers to complex multiswimmer models that attempt to parse collective behavioral dynamics. Each of these models contain a multitude of model input parameters to which the model outputs are inherently dependent, i.e., various swimming performance metrics. In this work, the swimming performance's sensitivity to parameters is investigated for an idealized, simple anguilliform swimming model in 2D. The swimmer considered here propagates forward by dynamically varying its body curvature, similar to motion of a C. elegan. The parameter sensitivities were explored with respect to the fluid scale (Reynolds number, Re), stroke (undulation) frequency, as well as a kinematic parameter controlling the velocity and acceleration of each upstroke and downstroke. In total, 5000 fluid-structure interaction simulations were performed, each with a unique parameter combination selected via a Sobol sequence. Thus, global sensitivity analysis was performed using Sobol sensitivity analysis. Results indicate that the swimmer's performance is most sensitive to variation in its stroke frequency. Trends in swimming performance were discovered by projecting the performance metrics from the overall 3D parameter space onto particular 2D subspaces and Pareto-like optimal fronts were identified for swimming efficiency. This work is a natural extension of the parameter explorations of the same model from [1].

show abstract

Swimming Through Parameter Subspaces of a Simple Anguilliform Swimmer

Battista

2020

Integrative and Comparative Biology

View full text Add to dashboard Cite

Computational scientists have investigated swimming performance across a multitude of different systems for decades. Most models depend on numerous model parameters and performance is sensitive to those parameters. In this paper, parameter subspaces are qualitatively identified in which there exists enhanced swimming performance for an idealized, simple swimming model that resembles a C. elegan, an organism that exhibits an anguilliform mode of locomotion. The computational model uses the immersed boundary method to solve the fluid-interaction system. The 1D swimmer propagates itself forward by dynamically changing its preferred body curvature. Observations indicate that the swimmer’s performance appears more sensitive to fluid scale and stroke frequency, rather than variations in the velocity and acceleration of either its upstroke or downstroke as a whole. Pareto-like optimal fronts were also identified within the data for the cost of transport and swimming speed. While this methodology allows one to locate robust parameter subspaces for desired performance in a straight-forward manner, it comes at the cost of simulating orders of magnitude more simulations than traditional fluid-structure interaction studies.

show abstract

Modeling Fluid Flow Induced by C. elegans Swimming at Low Reynolds Number

Cited by 4 publications

References 19 publications

Regularized image system for Stokes flow outside a solid sphere

Regularized image system for Stokes flow outside a solid sphere

Diving into a simple anguilliform swimmer's sensitivity

Swimming Through Parameter Subspaces of a Simple Anguilliform Swimmer

Contact Info

Product

Resources

About