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- Immersed_boundary_method abstract "In computational fluid dynamics, the immersed boundary method is an approach to simulate fluid-structure (fiber) interactions. Treating the coupling of the structure deformations and the fluid flow poses a number of challenging problems for numerical simulations (the elastic boundary changes the flow of the fluid and the fluid moves the elastic boundary simultaneously). In the immersed boundary method the fluid is represented on an Eulerian coordinate and the structure is represented on a Lagrangian coordinate. For Newtonian fluids governed by the incompressible Navier–Stokes equations, the fluid equations areand in case of incompressible fluids (assuming constant density) we have the incompressibility conditionThe immersed structures are typically represented as a collection of one-dimensional fibers, denoted by . Each fiber can be viewed as a parametric curve where is the parameter and is time. Physics of the fiber is represented via the fiber force distribution . Spring forces, bending resistance or any other type of behavior can be built into this term. The force exerted by the structure on the fluid is then interpolated as a source term in the momentum equation usingwhere is the Dirac δ function. The forcing can be extended to multiple dimensions to model elastic surfaces or three-dimensional solids. Assuming a massless structure, the elastic fiber moves with the local fluid velocity and can be interpolated via the delta functionwhere denotes the entire fluid domain. Discretization of these equations can be done by assuming an Eulerian grid on the fluid and a separate Lagrangian grid on the fiber. Approximations of the Delta distribution by smoother functions will allow us to interpolate between the two grids. Any existing fluid solver can be coupled to a solver for the fiber equations to solve the Immersed Boundary equations.Variants of this basic approach have been applied to simulate a wide variety of mechanical systems involving elastic structures which interact with fluid flows. See the references for more details.".
- Immersed_boundary_method wikiPageExternalLink j.jcp.2006.11.015.
- Immersed_boundary_method wikiPageExternalLink j.jcp.2010.12.028.
- Immersed_boundary_method wikiPageExternalLink j.jcp.2013.04.033.
- Immersed_boundary_method wikiPageExternalLink ibamr.googlecode.com.
- Immersed_boundary_method wikiPageExternalLink mango-selm.
- Immersed_boundary_method wikiPageExternalLink index.html.
- Immersed_boundary_method wikiPageExternalLink IBIS.
- Immersed_boundary_method wikiPageID "17943941".
- Immersed_boundary_method wikiPageRevisionID "605998528".
- Immersed_boundary_method hasPhotoCollection Immersed_boundary_method.
- Immersed_boundary_method subject Category:Computational_fluid_dynamics.
- Immersed_boundary_method subject Category:Fluid_mechanics.
- Immersed_boundary_method subject Category:Numerical_differential_equations.
- Immersed_boundary_method type Abstraction100002137.
- Immersed_boundary_method type Communication100033020.
- Immersed_boundary_method type DifferentialEquation106670521.
- Immersed_boundary_method type Equation106669864.
- Immersed_boundary_method type MathematicalStatement106732169.
- Immersed_boundary_method type Message106598915.
- Immersed_boundary_method type NumericalDifferentialEquations.
- Immersed_boundary_method type Statement106722453.
- Immersed_boundary_method comment "In computational fluid dynamics, the immersed boundary method is an approach to simulate fluid-structure (fiber) interactions. Treating the coupling of the structure deformations and the fluid flow poses a number of challenging problems for numerical simulations (the elastic boundary changes the flow of the fluid and the fluid moves the elastic boundary simultaneously).".
- Immersed_boundary_method label "Immersed boundary method".
- Immersed_boundary_method label "埋め込み境界法".
- Immersed_boundary_method sameAs 埋め込み境界法.
- Immersed_boundary_method sameAs m.047sw38.
- Immersed_boundary_method sameAs Q11425899.
- Immersed_boundary_method sameAs Q11425899.
- Immersed_boundary_method sameAs Immersed_boundary_method.
- Immersed_boundary_method wasDerivedFrom Immersed_boundary_method?oldid=605998528.
- Immersed_boundary_method isPrimaryTopicOf Immersed_boundary_method.