High-order numerical methods for 2D parabolic problems in single and composite domains [PDF]
, 2017 In this work, we discuss and compare three methods for the numerical approximation of constant- and variable-coefficient diffusion equations in both single and composite domains with possible discontinuity in the solution/flux at interfaces, considering (
Epshteyn, Yekaterina +6 more
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Bifurcations in valveless pumping techniques from a coupled fluid-structure-electrophysiology model in heart development [PDF]
, 2017 We explore an embryonic heart model that couples electrophysiology and muscle-force generation to flow induced using a $2D$ fluid-structure interaction framework based on the immersed boundary method.
Battista, Nicholas A., Miller, Laura A.
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On the damped oscillations of an elastic quasi-circular membrane in a two-dimensional incompressible fluid [PDF]
, 2014 We propose a procedure - partly analytical and partly numerical - to find the frequency and the damping rate of the small-amplitude oscillations of a massless elastic capsule immersed in a two-dimensional viscous incompressible fluid. The unsteady Stokes
Afonso, Marco Martins +2 more
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Journal of Fluid Science and Technology, 2014 In this paper, the simulations of incompressible turbulent flow are presented by applying the seamless immersed boundary method (SIBM) to the large eddy simulation (LES) on the Cartesian grid.
Kyohei TAJIRI +2 more
doaj +1 more source
Immersed boundary-finite element model of fluid-structure interaction in the aortic root [PDF]
, 2015 It has long been recognized that aortic root elasticity helps to ensure efficient aortic valve closure, but our understanding of the functional importance of the elasticity and geometry of the aortic root continues to evolve as increasingly detailed in ...
A. Cheng +74 more
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The curved kinetic boundary layer of active matter [PDF]
, 2017 The finite reorient-time of swimmers leads to a finite run length $\ell$ and the kinetic accumulation boundary layer on the microscopic length scale $\delta$ on a non-penetrating wall.
Brady, John F., Yan, Wen
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Modelling mitral valvular dynamics–current trend and future directions [PDF]
, 2017 Dysfunction of mitral valve causes morbidity and premature mortality and remains a leading medical problem worldwide. Computational modelling aims to understand the biomechanics of human mitral valve and could lead to the development of new treatment ...
Berry, Colin +6 more
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Hybrid finite difference/finite element immersed boundary method [PDF]
, 2017 The immersed boundary method is an approach to fluid-structure interaction that uses a Lagrangian description of the structural deformations, stresses, and forces along with an Eulerian description of the momentum, viscosity, and incompressibility of ...
Griffith, Boyce E., Luo, Xiaoyu
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The origin of compression influences geometric instabilities in bilayers [PDF]
, 2018 Geometric instabilities in bilayered structures control the surface morphology in a wide range of biological and technical systems. Depending on the application, different mechanisms induce compressive stresses in the bilayer.
Andres, Sebastian +2 more
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Multivariate Peristalsis in a Straight Rectangular Duct for Carreau Fluids
ComputationPeristaltic flow in a straight rectangular duct is examined imposed by contraction pulses implemented by pairs of horizontal cylindrical segments with their axes perpendicular to the flow direction.
Iosif C. Moulinos +2 more
doaj +1 more source