A minimal model of self propelled locomotion

Hydrodynamic model of fish orientation in a channel flow

“…Just as other minimal models of fish swimming have helped resolve open questions on scaling laws ( Gazzola et al, 2014 ), gait ( Gazzola et al, 2015 ), and drag ( Sánchez-Rodríguez et al, 2020 ), the proposed effort addresses some of the baffling aspects of rheotaxis through a transparent and intuitive treatment of bidirectional hydrodynamic interactions between fish and their surroundings. The crucial role of these bidirectional interactions hints that active manipulation of their surroundings by fish offers them a pathway to overcome sensory deprivation and sustain stable rheotaxis.…”

“…Upon validating the dipole model, we investigate the bidirectional coupling between a fish and the surrounding fluid flow in a channel. Our work contributes to the recent literature on minimal models of fish swimming ( Gazzola et al, 2014 ; Gazzola et al, 2015 ; Sánchez-Rodríguez et al, 2020 ) that builds on seminal work by Lighthill, 1975 , Taylor, 1997 and Wu, 2006 to elucidate the fundamental physical underpinnings of locomotion and inform the design of engineering systems.…”

Hydrodynamic model of fish orientation in a channel Flow

“…The application of the finite-dipole has bestowed important theoretical advancements in the study of hydrodynamic interactions between swimming animals (Gazzola et al, 2016;Filella et al, 2018;Kanso and Tsang, 2014;Kanso and Michelin, 2019), upon which we investigate the bidirectional coupling between a fish and the surrounding fluid flow in a channel. Our work contributes to the recent literature on minimal models of fish swimming (Gazzola et al, 2014(Gazzola et al, , 2015Sánchez-Rodríguez et al, 2020) that builds on seminal work by Lighthill (1975), Taylor (1952), andWu (1971) to elucidate the fundamental physical underpinnings of locomotion and inform the design of engineering systems.…”

“…Upon validating the dipole model, we investigate the bidirectional coupling between a fish and the surrounding fluid flow in a channel. Our work contributes to the recent literature on minimal models of fish swimming ( Gazzola et al, 2014, 2015 ; Sánchez-Rodríguez et al, 2020 ) that builds on seminal work by Lighthill (1975 ), Taylor (1952 ), and Wu (1971 ) to elucidate the fundamental physical underpinnings of locomotion and inform the design of engineering systems.…”

Numerical validation of simple non-stationary models for self-propelled pitching foils

“…These analytical expressions are then validated with the results from high resolution numerical simulations. The only work to the authors' knowledge that develop a similar analytical approximation for the unsteady swimming velocity of a self-propelled pitching foil is that of Sánchez-Rodríguez et al (2020), but using just one of the two previous expressions for the unsteady thrust force and, what is more relevant in the context of the present work, a constant value for the drag coefficient, which prevents its quantitative comparison with full numerical simulations of a self-propelled pitching foil. The comparison of the two self-propulsion models with numerical results given in the present work provides an assessment of their limitations in terms of the different non-dimensional parameters, such as the pitch amplitude, the frequency-based Reynolds number and the mass ratio of the foil.…”