Erasmus Mundus master's degree in Computational Mechanics
http://hdl.handle.net/2117/89307
Sun, 09 May 2021 04:18:23 GMT2021-05-09T04:18:23ZThe face-centered finite volume method (FCFV) for steady-state incompressible Navier-Stokes equations
http://hdl.handle.net/2117/172013
The face-centered finite volume method (FCFV) for steady-state incompressible Navier-Stokes equations
Qin, Shushu
The face-centered finite volumes (FCFV) has been proposed [2,4]. FCFV may be derived as a hybridizable discontinuous Galerkin (HDG) method with constant degree of approximation for all the variables [1,3,5]. Contrary to CCFV and VCFV approaches, the proposed FCFV method provides LBB-stable discretizations and achieves first-order convergence of velocity, pressure and gradient of velocity using unstructured meshes, without the need to perform flux reconstruction. Numerical experiments show that the method is robust in presence of distorted and stretched elements [2,4].
Sat, 09 Nov 2019 08:40:24 GMThttp://hdl.handle.net/2117/1720132019-11-09T08:40:24ZQin, ShushuThe face-centered finite volumes (FCFV) has been proposed [2,4]. FCFV may be derived as a hybridizable discontinuous Galerkin (HDG) method with constant degree of approximation for all the variables [1,3,5]. Contrary to CCFV and VCFV approaches, the proposed FCFV method provides LBB-stable discretizations and achieves first-order convergence of velocity, pressure and gradient of velocity using unstructured meshes, without the need to perform flux reconstruction. Numerical experiments show that the method is robust in presence of distorted and stretched elements [2,4].Development of Reduced Order Models in application to thermal problems within the Kratos framework
http://hdl.handle.net/2117/171971
Development of Reduced Order Models in application to thermal problems within the Kratos framework
Bravo Martínez, José Raúl
Fri, 08 Nov 2019 13:17:54 GMThttp://hdl.handle.net/2117/1719712019-11-08T13:17:54ZBravo Martínez, José RaúlEfficient parallel solvers for large-scale saddle-point problems
http://hdl.handle.net/2117/171253
Efficient parallel solvers for large-scale saddle-point problems
Lustman, Arthur
Thu, 31 Oct 2019 08:13:37 GMThttp://hdl.handle.net/2117/1712532019-10-31T08:13:37ZLustman, ArthurModeling of electromechanical transduction at finite deformation
http://hdl.handle.net/2117/130686
Modeling of electromechanical transduction at finite deformation
Dave, Nikhil
Thu, 21 Mar 2019 08:18:20 GMThttp://hdl.handle.net/2117/1306862019-03-21T08:18:20ZDave, NikhilShock-Capturing techniques for Euler equations in the framework of Hybridizable Discontinuous Galerkin
http://hdl.handle.net/2117/123101
Shock-Capturing techniques for Euler equations in the framework of Hybridizable Discontinuous Galerkin
Mohamed Sherif, Ahmed Saeed
The solution of the compressible Euler equations involves, in some problems, development of discontinuities such as shock waves. To this end, the purpose of this thesis is to investigate some shock-capturing techniques based on artificial viscosity method. This is done in the framework of high-order Hybridizable Discontinuous Galerkin finite element method.
Sun, 28 Oct 2018 18:16:14 GMThttp://hdl.handle.net/2117/1231012018-10-28T18:16:14ZMohamed Sherif, Ahmed SaeedThe solution of the compressible Euler equations involves, in some problems, development of discontinuities such as shock waves. To this end, the purpose of this thesis is to investigate some shock-capturing techniques based on artificial viscosity method. This is done in the framework of high-order Hybridizable Discontinuous Galerkin finite element method.Validation of two embedded computational fluid dynamics formulations in kratos multiphysics
http://hdl.handle.net/2117/123100
Validation of two embedded computational fluid dynamics formulations in kratos multiphysics
Nsofu, Chiluba Isaiah
The main advantage of embedded formulations in front of body-fitted ones is to get rid of the ALE mesh problem and its complexities. Besides, they suppress the model clean up tasks, since the problem is not solved for the real geometry but for a distance function that represents it. In this context, two different embedded formulations have been developed in Kratos Multiphysics. The first one is suitable for bodies with well defined internal volume (e.g. airfoils) while the second one is intended to be used in bodies with no internal volume (e.g. boat sails).
Sun, 28 Oct 2018 18:15:48 GMThttp://hdl.handle.net/2117/1231002018-10-28T18:15:48ZNsofu, Chiluba IsaiahThe main advantage of embedded formulations in front of body-fitted ones is to get rid of the ALE mesh problem and its complexities. Besides, they suppress the model clean up tasks, since the problem is not solved for the real geometry but for a distance function that represents it. In this context, two different embedded formulations have been developed in Kratos Multiphysics. The first one is suitable for bodies with well defined internal volume (e.g. airfoils) while the second one is intended to be used in bodies with no internal volume (e.g. boat sails).Computational modeling of brain development
http://hdl.handle.net/2117/117988
Computational modeling of brain development
Darlami, Kamal
The brain is one of the most exciting and unknown entities in nature. During development the brain folds towards a highly convoluted form. The topological features of the brain are also related to the deformation of the tissue under mechanical loads, such as traumatic brain injury, strokes and tumor growth. In this work, we propose to reproduce mechanically and numerically the evolution of the brain folding during development. We will compute a finite element model of the different topological models in order to analyze the mechanical response.
Sun, 10 Jun 2018 15:14:56 GMThttp://hdl.handle.net/2117/1179882018-06-10T15:14:56ZDarlami, KamalThe brain is one of the most exciting and unknown entities in nature. During development the brain folds towards a highly convoluted form. The topological features of the brain are also related to the deformation of the tissue under mechanical loads, such as traumatic brain injury, strokes and tumor growth. In this work, we propose to reproduce mechanically and numerically the evolution of the brain folding during development. We will compute a finite element model of the different topological models in order to analyze the mechanical response.NURBS-Enhanced finite element hybridizable discontinuous Galerkin method with degree adaptivity for steady Stokes flow
http://hdl.handle.net/2117/117170
NURBS-Enhanced finite element hybridizable discontinuous Galerkin method with degree adaptivity for steady Stokes flow
Neerala Suresh, Karthik
The aim of this project is to develop a high-order accurate space discretisation method for the solution of Stokes problems. The approach will consider a p-adaptive HDG method and NURBS-enhanced finite element method to account for the exact geometric description given by a CAD model. The proposed approach will be tested by using problems with analytical solution and compared to a p-adaptive HDG methodology with isoparametric elements.
Sun, 13 May 2018 20:48:01 GMThttp://hdl.handle.net/2117/1171702018-05-13T20:48:01ZNeerala Suresh, KarthikThe aim of this project is to develop a high-order accurate space discretisation method for the solution of Stokes problems. The approach will consider a p-adaptive HDG method and NURBS-enhanced finite element method to account for the exact geometric description given by a CAD model. The proposed approach will be tested by using problems with analytical solution and compared to a p-adaptive HDG methodology with isoparametric elements.Modeling and simulation of active fluids
http://hdl.handle.net/2117/114205
Modeling and simulation of active fluids
Divi, Sai Chandana
Within cells, the cytoskeleton organizes into polymer networks with unique properties.
At short time-scales, they behave elastically. However, due to molecular turnover, at
longer time-scales they behave like viscous fluids in low Reynold limit. In addition to
this, they are capable of actively developing tension, thanks to molecular motors using
chemical energy . At the tissue scale, epithelial cell formed by monolayers can exhibit,
in some regimes, a similar active fluid behavior. Contractile forces plays a key role in
tissue, for example, in organ development, wound healing, remodeling of the newly synthesized
connective tissue, and in sub-cellular level like cell elongation, contraction, rearrangements,
cell adhesion, division, cell migration and furrow construction in cytokinesis.
Furthermore, as a part of optogenetic technnique, the doped epithelial tissues experience
contractility upon illumination. Motivated by this, in the present work we considered
a monolayer of cells with illumination as an external power input defined as an tension
pattern in space and time to engineer contractility patterns to transport material from
one part of the tissue to another or to engineer morphogensis. Altogether, for the system
at low Reynold’s limit, governing equations of this compressible active visco-elastic model
are developed using traditional continuum approach and Onsager’s variational principle
and solved using linear finite elements. The system is non-dimensionalized and the effect
of each independent parameter on the system is analyzed. Finally, this model helps
in examining the principles that govern the ability to remodel the material by applying
space-time patterns of activity.
Fri, 16 Feb 2018 14:09:23 GMThttp://hdl.handle.net/2117/1142052018-02-16T14:09:23ZDivi, Sai ChandanaWithin cells, the cytoskeleton organizes into polymer networks with unique properties.
At short time-scales, they behave elastically. However, due to molecular turnover, at
longer time-scales they behave like viscous fluids in low Reynold limit. In addition to
this, they are capable of actively developing tension, thanks to molecular motors using
chemical energy . At the tissue scale, epithelial cell formed by monolayers can exhibit,
in some regimes, a similar active fluid behavior. Contractile forces plays a key role in
tissue, for example, in organ development, wound healing, remodeling of the newly synthesized
connective tissue, and in sub-cellular level like cell elongation, contraction, rearrangements,
cell adhesion, division, cell migration and furrow construction in cytokinesis.
Furthermore, as a part of optogenetic technnique, the doped epithelial tissues experience
contractility upon illumination. Motivated by this, in the present work we considered
a monolayer of cells with illumination as an external power input defined as an tension
pattern in space and time to engineer contractility patterns to transport material from
one part of the tissue to another or to engineer morphogensis. Altogether, for the system
at low Reynold’s limit, governing equations of this compressible active visco-elastic model
are developed using traditional continuum approach and Onsager’s variational principle
and solved using linear finite elements. The system is non-dimensionalized and the effect
of each independent parameter on the system is analyzed. Finally, this model helps
in examining the principles that govern the ability to remodel the material by applying
space-time patterns of activity.Effect of flexoelectricity on elasticity characterization by nanoindentation
http://hdl.handle.net/2117/107133
Effect of flexoelectricity on elasticity characterization by nanoindentation
Shaikh, Salik Firdos
Flexoelectricity is a very common phenomenon in dielectrics and is a size-dependent electromechanical
mechanism coupling polarization and strain gradient. Flexoelectric effect is
significant due to higher strain gradients at nanoscale. Barium Titanate (BaT iO3) is one
of the dielectrics whose flexoelectric properties have been determined by bending tests and
nanoindentation technique. These properties estimated from these two tests have good
conformance with each other. In the following work, the estimated flexoelectric properties
have been used to evaluate the Young’s modulus of a BaT iO3 sample using nanoindentation.
The analytical solution for three indentors is available for nanoindentation technique
based on Hertz contact theory. The analytical solution for all the indentors is a function of
the radius of indentor, indentation depth , applied force, Young’s modulus and Poisson’s
ratio. Here we computationally implement the linear theory of flexoelectricity, taking
into account only the flexoelectric effect. We compute the change in indentation of the
material by varying the flexoelectric constant in range of four orders of magnitude. This
variation helps us maneuver from the macroscopic scale to the nanoscopic scale. Using
the Hertz contact theory we obtain the Young’s modulus based on the indentation depths
computed on account of variation of the flexoelectric constant. The results obtained from
this study show that the flexoelectric effect is a scale dependent phenomenon.
Fri, 25 Aug 2017 08:14:31 GMThttp://hdl.handle.net/2117/1071332017-08-25T08:14:31ZShaikh, Salik FirdosFlexoelectricity is a very common phenomenon in dielectrics and is a size-dependent electromechanical
mechanism coupling polarization and strain gradient. Flexoelectric effect is
significant due to higher strain gradients at nanoscale. Barium Titanate (BaT iO3) is one
of the dielectrics whose flexoelectric properties have been determined by bending tests and
nanoindentation technique. These properties estimated from these two tests have good
conformance with each other. In the following work, the estimated flexoelectric properties
have been used to evaluate the Young’s modulus of a BaT iO3 sample using nanoindentation.
The analytical solution for three indentors is available for nanoindentation technique
based on Hertz contact theory. The analytical solution for all the indentors is a function of
the radius of indentor, indentation depth , applied force, Young’s modulus and Poisson’s
ratio. Here we computationally implement the linear theory of flexoelectricity, taking
into account only the flexoelectric effect. We compute the change in indentation of the
material by varying the flexoelectric constant in range of four orders of magnitude. This
variation helps us maneuver from the macroscopic scale to the nanoscopic scale. Using
the Hertz contact theory we obtain the Young’s modulus based on the indentation depths
computed on account of variation of the flexoelectric constant. The results obtained from
this study show that the flexoelectric effect is a scale dependent phenomenon.