The Finite Element Immersed Boundary Method with Distributed Lagrange Multiplier
نویسندگان
چکیده
منابع مشابه
The Finite Element Immersed Boundary Method with Distributed Lagrange Multiplier
In this talk we consider the finite element discretization of the Immersed Boundary Method (IBM) introduced by Peskin [6] for fluid-structure interaction problems. With respect to the original finite differences discretization the finite element approach can take advantage from the variational formulation in handling the Dirac delta function which takes into account the presence of the structur...
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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 the fluid-structure system. The original immersed boundary methods described immersed elastic structures using systems of flexible fibers, and eve...
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The immersed boundary (IB) method is a mathematical formulation for fluid-structure interaction problems, where immersed incompressible visco-elastic bodies or boundaries interact with an incompressible fluid. The original numerical scheme associated to the IB method requires a smoothed approximation of the Dirac delta distribution to link the moving Lagrangian domain with the fixed Eulerian on...
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The immersed boundary method was introduced by Peskin in [31] to study the blood flow in the heart and further applied to many situations where a fluid interacts with an elastic structure. The basic idea is to consider the structure as a part of the fluid where additional forces are applied and additional mass is localized. The forces exerted by the structure on the fluid are taken into account...
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The immersed boundary method is both a mathematical formulation and a numerical method. In its continuous version it is a fully non-linearly coupled formulation for the study of fluid structure interactions. As it is common in these cases, many numerical methods have been introduced to reduce the difficulties related to the non-linear coupling between the structure and the fluid evolution, howe...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2015
ISSN: 0036-1429,1095-7170
DOI: 10.1137/140978399