Geometric multigrid for an implicit-time immersed boundary method
نویسندگان
چکیده
منابع مشابه
Geometric multigrid for an implicit-time immersed boundary method
The immersed boundary (IB) method is an approach to fluid-structure interaction that uses Lagrangian variables to describe the structure and Eulerian variables to describe the fluid. Explicit time stepping schemes for the IB method require solvers only for Eulerian equations, for which fast Cartesian grid solution methods are available. Such methods are relatively straightforward to develop and...
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We develop an immersed boundary (IB) method for modeling flows around fixed or moving rigid bodies that is suitable for a broad range of Reynolds numbers, including steady Stokes flow. The spatio-temporal discretization of the fluid equations is based on a standard staggered-grid approach. Fluid-body interaction is handled using Peskin's IB method; however, unlike existing IB approaches to such...
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A novel e cient implicit direct forcing immersed boundary method for incompressible flows with complex boundaries is presented. In the previous work [1], the calculation is performed on the Cartesian grid regardless of the immersed object, with a fictitious force evaluated on the Lagrangian points to mimic the presence of the physical boundaries. However the explicit direct forcing method [1] f...
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The Immersed Boundary method is one of the most useful computational methods in studying fluid structure interaction. On the other hand, the Immersed Boundary method is also known to require small time steps to maintain stability when solved with an explicit method. Many implicit or approximately implicit methods have been proposed in the literature to remove this severe time step stability con...
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Article history: Received 7 March 2011 Received in revised form 17 January 2012 Accepted 5 March 2012 Available online 3 April 2012
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ژورنال
عنوان ژورنال: Advances in Computational Mathematics
سال: 2014
ISSN: 1019-7168,1572-9044
DOI: 10.1007/s10444-014-9380-1