Unified Lagrangian Formulation for Fluid and Solid by Alessandro Franci

By Alessandro Franci

This publication treats the derivation and implementation of a unified particle finite aspect formula for the answer of fluid and strong mechanics, Fluid-Structure interplay (FSI) and paired thermal problems.

FSI difficulties are considering many engineering branches, from aeronautics to civil and biomedical engineering. The numerical process proposed during this ebook has been designed to accommodate a wide a part of those. particularly, it's able to simulating safely free-surface fluids interacting with constructions that can endure huge displacements, be afflicted by thermo-plastic deformations or even soften. the tactic accuracy has been effectively demonstrated in numerous numerical examples. The thesis additionally comprises the appliance of the proposed numerical approach for the simulation of a true business problem.

This thesis, defended on the Universitat Politecnica de Catalunya in 2015, used to be chosen (ex aequo) because the most sensible PhD thesis in numerical equipment in Spain for the yr 2015 through the Spanish Society of Numerical equipment in Engineering (SEMNI).

Show description

Read Online or Download Unified Lagrangian Formulation for Fluid and Solid Mechanics, Fluid-Structure Interaction and Coupled Thermal Problems Using the PFEM PDF

Similar nonfiction_14 books

Geotechnical Hazards from Large Earthquakes and Heavy Rainfalls

This e-book is a suite of papers awarded on the foreign Workshop on Geotechnical traditional dangers held July 12–15, 2014, in Kitakyushu, Japan. The workshop used to be the 6th within the sequence of Japan–Taiwan Joint Workshops on Geotechnical dangers from huge Earthquakes and Heavy Rainfalls, held lower than the auspices of the Asian Technical Committee No.

Biosilica in Evolution, Morphogenesis, and Nanobiotechnology: Case Study Lake Baikal

Lake Baikal is the oldest, inner most and so much voluminous lake in the world, comprising one 5th of the World’s unfrozen clean water. It hosts the top variety of endemic animals recorded in any freshwater lake. till lately it remained enigmatic why this type of excessive variety advanced within the remoted Lake Baikal.

The Diary of Queen Maria Carolina of Naples, 1781-1785: New Evidence of Queenship at Court

This paintings bargains a brand new portrayal of Queen Maria Carolina of Naples as a girl of strength with weaknesses and pursuits, and analyzes the Queen's activities, from her political offerings to her alliance and betrayals. A cautious exam of the interval (1781-1785) lined through the diary exhibits that the lifestyle of the Queen and gives key proof of her political acumen and her own relationships.

Additional resources for Unified Lagrangian Formulation for Fluid and Solid Mechanics, Fluid-Structure Interaction and Coupled Thermal Problems Using the PFEM

Sample text

In the following summation of terms for repeated indices is assumed, unless otherwise specified. 6) Multiplying Eqs. 7) ˙ represents the material time derivative. where the symbol (·) Integrating by parts the term involving σi j in Eq. 8) is the standard form of the Principle of Virtual Power [1]. The spatial discretization is introduced using the classical FEM-Galerkin procedure [2]. 9) I =1 where, assuming the use of simplicial elements, n = 3/4 for 2D/3D problems is the ¯ denotes a nodal value, the capital subscript number of the nodes of the element, (·) specifies the node and the lower case subscript represents the cartesian direction.

71. C. J. J. Wathen. Finite element and fast iterative solvers with applications in incompressible fluid dynamics. Oxford Series in Numerical Mathematics and Scientific Computation. Oxford University Press, Oxford, 2005. 72. M. Fortin and R. Glowinski. Augmented lagrangian: application to the numerical solution of boundary value problems. North-Holland, Amsterdam, 1983. 73. S. P. Caltagirone, F. Sonilhac, P. Février, C. Mignot, and G. Pianet. Augmented lagrangian and penalty methods for the simulation of two-phase flows interacting with moving solids.

62. F. Brezzi and M. Fortin. Mixed And Hybrid Finite Element Methods. Springer, New York, 1991. 63. M. Cervera, M. Benedetti, and R. Codina. Mixed stabilized finite element methods in nonlinear solid mechanics: Part i: Formulation. Computer Methods In Applied Mechanics And Engineering, 285:752–775, 2015. 64. P. Ryzhakov, R. R. Idelsohn, and E. Oñate. A monolithic lagrangian approach for fluid-structure interaction problems. Computational Mechanics, 46:883–899, 2010. 65. H. P. Mucke. Three dimensional alpha shapes.

Download PDF sample

Rated 4.31 of 5 – based on 9 votes