By Hans-Joachim Bungartz, Michael Schäfer
This quantity within the sequence Lecture Notes in Computational technology and Engineering offers a set of papers offered on the foreign Workshop on FSI, held in October 2005 in Hohenwart and arranged by way of DFG's examine Unit 493 "FSI: Modeling, Simulation, and Optimization". The papers handle partitioned and monolithic coupling ways, methodical concerns and purposes, and talk about FSI from the mathematical, informatics, and engineering issues of view.
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Additional resources for Fluid-Structure Interaction: Modelling, Simulation, Optimisation (Lecture Notes in Computational Science and Engineering)
It is assumed that the shape of a GeomObject may be speciﬁed explicitly by a position vector R(ξξ ), parameterised by a vector of intrinsic (Lagrangian) coordinates, ξ , where dim(R) ≥ dim(ξξ ). For instance, the ring’s shape may be represented by a 2D position vector R, parametrised by the 1D Lagrangian coordinate ξ; R(ξ) = Xc + R cos(ξ) Yc + R sin(ξ) . (7) This parametrisation must be implemented in the GeomObject’s member function GeomObject::position(xi,r), which computes the position vector r as a function of the vector of the intrinsic coordinates xi.
Once a physical domain is represented by a Domain object, each FiniteElement in the coarse initial mesh is associated with one of the Domain’s macro elements. The FiniteElement’s macro element representation is then employed (i) to determine the position of the nodes in the coarse initial mesh, and (ii) to determine the position of newly created nodes during mesh reﬁnement. 1 Macro-Element-Based Node Updates The macro-element-based representation of the domain may also be used to update the nodal positions in response to changes in the domain boundary.
Generalised quadtree and octree data structures are used to store the reﬁnement pattern, and to identify eﬃciently the elements’ edge and face neighbours during the determination of the hanging nodes and their associated “master nodes”. 3 35 How to Resolve Curvilinear Boundaries: Domains and MacroElements One particular aspect of the implementation requires a more detailed discussion. How do oomph-lib’s mesh adaptation procedures determine the position of newly created nodes in domains with curvilinear boundaries?
Fluid-Structure Interaction: Modelling, Simulation, Optimisation (Lecture Notes in Computational Science and Engineering) by Hans-Joachim Bungartz, Michael Schäfer