By Donald A. Drew (auth.), Professor Wolfgang Wendland, Professor Messoud Efendiev (eds.)
The research and simulation of multifield difficulties have lately turn into probably the most real and vibrant components of study. even if the person subproblems of complicated technical and actual phenomena frequently are understood individually, their interplay and coupling create not just new problems but additionally a whole new point and caliber of interacting coupled box difficulties. awarded via prime specialists this ebook comprises fresh leads to those fields from the overseas convention on Multifield difficulties, April 8-10, 2002 on the collage of Stuttgart, Germany.
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Additional info for Analysis and Simulation of Multifield Problems
T, ( (n-1»)) _ A. J2 X 2 , X 2 , Xl . (9b) This is a staggering type algorithm for implicit integrators. The two subsystems (9a,9b) may be solved independently of each other, but the method, considered for the system as a whole, is explicit, and will again introduce limitations connected with a critical time step associated to the global system. To circumvent this, generally we have to introduce a global coupling, although there are methods to retain at least the linear stability characteristics in the staggered approach [21,14,41].
CIMNE, Barcelona 27. , Gunther M. (2001) Preconditioned dynamic iteration for coupled differential-algebraic systems. BIT Numerical Mathematics 41, 1-25 28. Matthies H. , Steindorf J. Efficient iteration schemes for non-linear fluidstructure interaction problems. In: Topping B. H. V. ) Computational Mechanics: Techniques and Developments. Civil-Comp Press, Edinburgh 29. Matthies H. , Steindorf J. (2001) How to make weak couplings strong. In: Bathe K-J. ) Computational Fluid and Solid Mechanics.
The traction balance (19b) introduces additional forces on the fluid, and the reaction force on the solid. Hence for the fluid the complete discrete equations of motion are : Mf'u + N(v - x)v + KJv + BJp = TJ + Tjr, (20a) Bjv = 0, (20b) (20c) KgX = Au. The terms in (20a) are the discrete analogues of those in (17a), the term includes the prescribed boundary stresses, and the additional term Tj r comes from the interaction with the structure, where r is the stress on the fluid-structure-interface.
Analysis and Simulation of Multifield Problems by Donald A. Drew (auth.), Professor Wolfgang Wendland, Professor Messoud Efendiev (eds.)