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A 3D isogeometric BE–FE analysis with dynamic remeshing for the simulation of a deformable particle in shear flows

Maestre, Jorge ; Pallares, Jordi ; Cuesta, Ildefonso ; Scott, Michael A.

Computer methods in applied mechanics and engineering, 2017-11, Vol.326, p.70-101 [Periódico revisado por pares]

Amsterdam: Elsevier B.V

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Título:
A 3D isogeometric BE–FE analysis with dynamic remeshing for the simulation of a deformable particle in shear flows
Autor: Maestre, Jorge ; Pallares, Jordi ; Cuesta, Ildefonso ; Scott, Michael A.
Assuntos: 3-D technology ; Basis functions ; BEM ; Boundary element method ; Brain ; Computational fluid dynamics ; Computer simulation ; Deformable capsule ; Deformation resistance ; Dynamic refinement ; FEM ; Finite element method ; Formability ; Geometry ; Isogeometric analysis ; Load distribution (forces) ; Mathematical analysis ; Navier-Stokes equations ; Simulation ; Smoothness ; Splines ; Stokes law (fluid mechanics) ; Stress concentration ; T-spline ; Thin walled shells ; Three dimensional flow
É parte de: Computer methods in applied mechanics and engineering, 2017-11, Vol.326, p.70-101
Descrição: A three-dimensional isogeometric coupled boundary element and finite element approach based on analysis suitable T-splines is developed for the simulation of deformable capsules suspended in shear flows. Boundary element analysis is used to solve the fluid Stokes equation whereas the hydrodynamic membrane load is computed via isogeometric analysis under the assumption that the membrane is a hyper-elastic thin shell with negligible bending resistance. The smoothness of the T-spline basis functions accommodate large deformations of the capsule without the need for additional smoothing techniques, and can be used to accurately compute the membrane load. A balanced distribution of membrane elements can be constructed using an unstructured locally refined mesh. These properties are coupled with an adaptive temporal implicit integration scheme. Several benchmark examples are solved to illustrate the accuracy and potential of the method. The approach is then applied to simulate the dynamics of a capsule in a real geometry of a brain capillary. •A T-spline-based isogeometric approach for demormable capsules is presented.•An IGA-BIE is derived for the computation of the flow in pipes of arbitrary sections.•An adaptive refinement scheme is formulated to handle the mesh quality on the capsule.•The accuracy and stability of the method are checked with some benchmark examples.•The behavior of a capsule flowing through a real geometry of a capillary is simulated.
Editor: Amsterdam: Elsevier B.V
Idioma: Inglês

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A 3D isogeometric BE–FE analysis with dynamic remeshing for the simulation of a deformable particle in shear flows

Maestre, Jorge ; Pallares, Jordi ; Cuesta, Ildefonso ; Scott, Michael A.

Amsterdam: Elsevier B.V

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