Numerical Simulation of Two-Part Underwater Towing System

The motion instability is an important issue that occurs during the operation of towed underwater vehicles (TUV), which considerably affects the accuracy of high precision acoustic instrumentations housed inside the same. Out of the various parameters responsible for this, the disturbances from the tow-ship are the most significant one. The present study focus on the motion dynamics of an underwater towing system with ship induced disturbances as the input. The study focus on an innovative system called two-part towing. The methodology involves numerical modeling of the tow system, which consists of modeling of the tow-cables and vehicles formulation. Previous study in this direction used a segmental approach for the modeling of the cable. Even though, the model was successful in predicting the heave response of the tow-body, instabilities were observed in the numerical solution. The present study devises a simple approach called lumped mass spring model (LMSM) for the cable formulation. In this work, the traditional LMSM has been modified in two ways. First, by implementing advanced time integration procedures and secondly, use of a modified beam model which uses only translational degrees of freedoms for solving beam equation. A number of time integration procedures, such as Euler, Houbolt, Newmark and HHT-α were implemented in the traditional LMSM and the strength and weakness of each scheme were numerically estimated. In most of the previous studies, hydrodynamic forces acting on the tow-system such as drag and lift etc. are approximated as analytical expression of velocities. This approach restricts these models to use simple cylindrical shaped towed bodies and may not be applicable modern tow systems which are diversed in shape and complexity. Hence, this particular study, hydrodynamic parameters such as drag and lift of the tow-system are estimated using CFD techniques. To achieve this, a RANS based CFD code has been developed. Further, a new convection interpolation scheme for CFD simulation, called BNCUS, which is blend of cell based and node based formulation, was proposed in the study and numerically tested. To account for the fact that simulation takes considerable time in solving fluid dynamic equations, a dedicated parallel computing setup has been developed. Two types of computational parallelisms are explored in the current study, viz; the model for shared memory processors and distributed memory processors. In the present study, shared memory model was used for structural dynamic analysis of towing system, distributed memory one was devised in solving fluid dynamic equations.

Stability of preconditioned finite volume schemes at low Mach numbers

In [4], Guillard and Viozat propose a finite volume method for the simulation of inviscid steady as well as unsteady flows at low Mach numbers, based on a preconditioning technique. The scheme satisfies the results of a single scale asymptotic analysis in a discrete sense and comprises the advantage that this can be derived by a slight modification of the dissipation term within the numerical flux function. Unfortunately, it can be observed by numerical experiments that the preconditioned approach combined with an explicit time integration scheme turns out to be unstable if the time step Dt does not satisfy the requirement to be O(M2) as the Mach number M tends to zero, whereas the corresponding standard method remains stable up to Dt=O(M), M to 0, which results from the well-known CFL-condition. We present a comprehensive mathematical substantiation of this numerical phenomenon by means of a von Neumann stability analysis, which reveals that in contrast to the standard approach, the dissipation matrix of the preconditioned numerical flux function possesses an eigenvalue growing like M-2 as M tends to zero, thus causing the diminishment of the stability region of the explicit scheme. Thereby, we present statements for both the standard preconditioner used by Guillard and Viozat [4] and the more general one due to Turkel [21]. The theoretical results are after wards confirmed by numerical experiments.

Numerical Methods for the Unsteady Compressible Navier-Stokes Equations

We consider numerical methods for the compressible time dependent Navier-Stokes equations, discussing the spatial discretization by Finite Volume and Discontinuous Galerkin methods, the time integration by time adaptive implicit Runge-Kutta and Rosenbrock methods and the solution of the appearing nonlinear and linear equations systems by preconditioned Jacobian-Free Newton-Krylov, as well as Multigrid methods. As applications, thermal Fluid structure interaction and other unsteady flow problems are considered. The text is aimed at both mathematicians and engineers.

Gait Analysis for Classification

This thesis describes a representation of gait appearance for the purpose of person identification and classification. This gait representation is based on simple localized image features such as moments extracted from orthogonal view video silhouettes of human walking motion. A suite of time-integration methods, spanning a range of coarseness of time aggregation and modeling of feature distributions, are applied to these image features to create a suite of gait sequence representations. Despite their simplicity, the resulting feature vectors contain enough information to perform well on human identification and gender classification tasks. We demonstrate the accuracy of recognition on gait video sequences collected over different days and times and under varying lighting environments. Each of the integration methods are investigated for their advantages and disadvantages. An improved gait representation is built based on our experiences with the initial set of gait representations. In addition, we show gender classification results using our gait appearance features, the effect of our heuristic feature selection method, and the significance of individual features.

Local WMR navigation with monocular data

This article presents recent WMR (wheeled mobile robot) navigation experiences using local perception knowledge provided by monocular and odometer systems. A local narrow perception horizon is used to plan safety trajectories towards the objective. Therefore, monocular data are proposed as a way to obtain real time local information by building two dimensional occupancy grids through a time integration of the frames. The path planning is accomplished by using attraction potential fields, while the trajectory tracking is performed by using model predictive control techniques. The results are faced to indoor situations by using the lab available platform consisting in a differential driven mobile robot

Cavity-enhanced absorption: detection of nitrogen dioxide and iodine monoxide using a violet laser diode

We present an application of cavity-enhanced absorption spectroscopy with an off-axis alignment of the cavity formed by two spherical mirrors and with time integration of the cavity-output intensity for detection of nitrogen dioxide (NO2) and iodine monoxide (IO) radicals using a violet laser diode at lambda = 404.278 nm. A noise-equivalent (1sigma = root-mean-square variation of the signal) fractional absorption for one optical pass of 4.5x10(-8) was demonstrated with a mirror reflectivity of similar to0.99925, a cavity length of 0.22 m and a lock-in-amplifier time constant of 3 s. Noise-equivalent detection sensitivities towards nitrogen dioxide of 1.8x10(10) molecule cm(-3) and towards the IO radical of 3.3x10(9) molecule cm(-3) were achieved in flow tubes with an inner diameter of 4 cm for a lock-in-amplifier time constant of 3 s. Alkyl peroxy radicals were detected using chemical titration with excess nitric oxide (RO2 + NO --> RO + NO2). Measurement of oxygen-atom concentrations was accomplished by determining the depletion of NO2 in the reaction NO2 + O --> NO + O-2. Noise-equivalent concentrations of alkyl peroxy radicals and oxygen atoms were 3x10(10) molecule cm(-3) in the discharge-flow-tube experiments.

Numerical study of the atmospheric flow over a coastal cliff

This work presents a numerical method suitable for the study of the development of internal boundary layers (IBL) and their characteristics for flows over various types of coastal cliffs. The IBL is an important meteorological occurrence for flows with surface roughness and topographical step changes. A two-dimensional flow program was used for this study. The governing equations were written using the vorticity-velocity formulation. The spatial derivatives were discretized by high-order compact finite differences schemes. The time integration was performed with a low storage fourth-order Runge-Kutta scheme. The coastal cliff (step) was specified through an immersed boundary method. The validation of the code was done by comparison of the results with experimental and observational data. The numerical simulations were carried out for different coastal cliff heights and inclinations. The results show that the predominant factors for the height of the IBL and its characteristics are the upstream velocity, and the height and form (inclination) of the coastal cliff. Copyright (C) 2010 John Wiley & Sons, Ltd.

A Robust, Fully Adaptive Hybrid Level-Set/Front-Tracking Method for Two-Phase Flows with an Accurate Surface Tension Computation

We present a variable time step, fully adaptive in space, hybrid method for the accurate simulation of incompressible two-phase flows in the presence of surface tension in two dimensions. The method is based on the hybrid level set/front-tracking approach proposed in [H. D. Ceniceros and A. M. Roma, J. Comput. Phys., 205, 391400, 2005]. Geometric, interfacial quantities are computed from front-tracking via the immersed-boundary setting while the signed distance (level set) function, which is evaluated fast and to machine precision, is used as a fluid indicator. The surface tension force is obtained by employing the mixed Eulerian/Lagrangian representation introduced in [S. Shin, S. I. Abdel-Khalik, V. Daru and D. Juric, J. Comput. Phys., 203, 493-516, 2005] whose success for greatly reducing parasitic currents has been demonstrated. The use of our accurate fluid indicator together with effective Lagrangian marker control enhance this parasitic current reduction by several orders of magnitude. To resolve accurately and efficiently sharp gradients and salient flow features we employ dynamic, adaptive mesh refinements. This spatial adaption is used in concert with a dynamic control of the distribution of the Lagrangian nodes along the fluid interface and a variable time step, linearly implicit time integration scheme. We present numerical examples designed to test the capabilities and performance of the proposed approach as well as three applications: the long-time evolution of a fluid interface undergoing Rayleigh-Taylor instability, an example of bubble ascending dynamics, and a drop impacting on a free interface whose dynamics we compare with both existing numerical and experimental data.

Utilização da técnica VxIAT para a determinação de volumes de precipitação na área central do Estado de São Paulo

Pós-graduação em Agronomia (Energia na Agricultura) - FCA

Parametric resonances in a base-excited double pendulum

Two parametrically-induced phenomena are addressed in the context of a double pendulum subject to a vertical base excitation. First, the parametric resonances that cause the stable downward vertical equilibrium to bifurcate into large-amplitude periodic solutions are investigated extensively. Then the stabilization of the unstable upward equilibrium states through the parametric action of the high-frequency base motion is documented in the experiments and in the simulations. It is shown that there is a region in the plane of the excitation frequency and amplitude where all four unstable equilibrium states can be stabilized simultaneously in the double pendulum. The parametric resonances of the two modes of the base-excited double pendulum are studied both theoretically and experimentally. The transition curves (i.e., boundaries of the dynamic instability regions) are constructed asymptotically via the method of multiple scales including higher-order effects. The bifurcations characterizing the transitions from the trivial equilibrium to the periodic solutions are computed by either continuation methods and or by time integration and compared with the theoretical and experimental results.

Influence of Goertler vortices spanwise wavelength on heat transfer rates

The boundary layer over concave surfaces can be unstable due to centrifugal forces, giving rise to Goertler vortices. These vortices create two regions in the spanwise direction—the upwash and downwash regions. The downwash region is responsible for compressing the boundary layer toward the wall, increasing the heat transfer rate. The upwash region does the opposite. In the nonlinear development of the Goertler vortices, it can be observed that the upwash region becomes narrow and the spanwise–average heat transfer rate is higher than that for a Blasius boundary layer. This paper analyzes the influence of the spanwise wavelength of the Goertler the heat transfer. The equation is written in vorticity-velocity formulation. The time integration is done via a classical fourth-order Runge-Kutta method. The spatial derivatives are calculated using high-order compact finite difference and spectral methods. Three different wavelengths are analyzed. The results show that steady Goertler flow can increase the heat transfer rates to values close to the values of turbulence, without the existence of a secondary instability. The geometry (and computation domain) are presented

L'a(rche)tipico Brian O'Nolan. Comico e riso dalla tradizione al post-

This study aims at analysing Brian O'Nolans literary production in the light of a reconsideration of the role played by his two most famous pseudonyms ,Flann Brien and Myles na Gopaleen, behind which he was active both as a novelist and as a journalist. We tried to establish a new kind of relationship between them and their empirical author following recent cultural and scientific surveys in the field of Humour Studies, Psychology, and Sociology: taking as a starting point the appreciation of the comic attitude in nature and in cultural history, we progressed through a short history of laughter and derision, followed by an overview on humour theories. After having established such a frame, we considered an integration of scientific studies in the field of laughter and humour as a base for our study scheme, in order to come to a definition of the comic author as a recognised, powerful and authoritative social figure who acts as a critic of conventions. The history of laughter and comic we briefly summarized, based on the one related by the French scholar Georges Minois in his work (Minois 2004), has been taken into account in the view that humorous attitude is one of man’s characteristic traits always present and witnessed throughout the ages, though subject in most cases to repression by cultural and political conservative power. This sort of Super-Ego notwithstanding, or perhaps because of that, comic impulse proved irreducible exactly in its influence on the current cultural debates. Basing mainly on Robert R. Provine’s (Provine 2001), Fabio Ceccarelli’s (Ceccarelli 1988), Arthur Koestler’s (Koestler 1975) and Peter L. Berger’s (Berger 1995) scientific essays on the actual occurrence of laughter and smile in complex social situations, we underlined the many evidences for how the use of comic, humour and wit (in a Freudian sense) could be best comprehended if seen as a common mind process designed for the improvement of knowledge, in which we traced a strict relation with the play-element the Dutch historian Huizinga highlighted in his famous essay, Homo Ludens (Huizinga 1955). We considered comic and humour/wit as different sides of the same coin, and showed how the demonstrations scientists provided on this particular subject are not conclusive, given that the mental processes could not still be irrefutably shown to be separated as regards graduations in comic expression and reception: in fact, different outputs in expressions might lead back to one and the same production process, following the general ‘Economy Rule’ of evolution; man is the only animal who lies, meaning with this that one feeling is not necessarily biuniquely associated with one and the same outward display, so human expressions are not validation proofs for feelings. Considering societies, we found that in nature they are all organized in more or less the same way, that is, in élites who govern over a community who, in turn, recognizes them as legitimate delegates for that task; we inferred from this the epistemological possibility for the existence of an added ruling figure alongside those political and religious: this figure being the comic, who is the person in charge of expressing true feelings towards given subjects of contention. Any community owns one, and his very peculiar status is validated by the fact that his place is within the community, living in it and speaking to it, but at the same time is outside it in the sense that his action focuses mainly on shedding light on ideas and objects placed out-side the boundaries of social convention: taboos, fears, sacred objects and finally culture are the favourite targets of the comic person’s arrow. This is the reason for the word a(rche)typical as applied to the comic figure in society: atypical in a sense, because unconventional and disrespectful of traditions, critical and never at ease with unblinkered respect of canons; archetypical, because the “village fool”, buffoon, jester or anyone in any kind of society who plays such roles, is an archetype in the Jungian sense, i.e. a personification of an irreducible side of human nature that everybody instinctively knows: a beginner of a tradition, the perfect type, what is most conventional of all and therefore the exact opposite of an atypical. There is an intrinsic necessity, we think, of such figures in societies, just like politicians and priests, who should play an elitist role in order to guide and rule not for their own benefit but for the good of the community. We are not naïve and do know that actual owners of power always tend to keep it indefinitely: the ‘social comic’ as a role of power has nonetheless the distinctive feature of being the only job whose tension is not towards stability. It has got in itself the rewarding permission of contradiction, for the very reason we exposed before that the comic must cast an eye both inside and outside society and his vision may be perforce not consistent, then it is satisfactory for the popularity that gives amongst readers and audience. Finally, the difference between governors, priests and comic figures is the seriousness of the first two (fundamentally monologic) and the merry contradiction of the third (essentially dialogic). MPs, mayors, bishops and pastors should always console, comfort and soothe popular mood in respect of the public convention; the comic has the opposite task of provoking, urging and irritating, accomplishing at the same time a sort of control of the soothing powers of society, keepers of the righteousness. In this view, the comic person assumes a paramount importance in the counterbalancing of power administration, whether in form of acting in public places or in written pieces which could circulate for private reading. At this point comes into question our Irish writer Brian O'Nolan(1911-1966), real name that stood behind the more famous masks of Flann O'Brien, novelist, author of At Swim-Two-Birds (1939), The Hard Life (1961), The Dalkey Archive (1964) and, posthumously, The Third Policeman (1967); and of Myles na Gopaleen, journalist, keeper for more than 25 years of the Cruiskeen Lawn column on The Irish Times (1940-1966), and author of the famous book-parody in Irish An Béal Bocht (1941), later translated in English as The Poor Mouth (1973). Brian O'Nolan, professional senior civil servant of the Republic, has never seen recognized his authorship in literary studies, since all of them concentrated on his alter egos Flann, Myles and some others he used for minor contributions. So far as we are concerned, we think this is the first study which places the real name in the title, this way acknowledging him an unity of intents that no-one before did. And this choice in titling is not a mere mark of distinction for the sake of it, but also a wilful sign of how his opus should now be reconsidered. In effect, the aim of this study is exactly that of demonstrating how the empirical author Brian O'Nolan was the real Deus in machina, the master of puppets who skilfully directed all of his identities in planned directions, so as to completely fulfil the role of the comic figure we explained before. Flann O'Brien and Myles na Gopaleen were personae and not persons, but the impression one gets from the critical studies on them is the exact opposite. Literary consideration, that came only after O'Nolans death, began with Anne Clissmann’s work, Flann O'Brien: A Critical Introduction to His Writings (Clissmann 1975), while the most recent book is Keith Donohue’s The Irish Anatomist: A Study of Flann O'Brien (Donohue 2002); passing through M.Keith Booker’s Flann O'Brien, Bakhtin and Menippean Satire (Booker 1995), Keith Hopper’s Flann O'Brien: A Portrait of the Artist as a Young Post-Modernist (Hopper 1995) and Monique Gallagher’s Flann O'Brien, Myles et les autres (Gallagher 1998). There have also been a couple of biographies, which incidentally somehow try to explain critical points his literary production, while many critical studies do the same on the opposite side, trying to found critical points of view on the author’s restless life and habits. At this stage, we attempted to merge into O'Nolan's corpus the journalistic articles he wrote, more than 4,200, for roughly two million words in the 26-year-old running of the column. To justify this, we appealed to several considerations about the figure O'Nolan used as writer: Myles na Gopaleen (later simplified in na Gopaleen), who was the equivalent of the street artist or storyteller, speaking to his imaginary public and trying to involve it in his stories, quarrels and debates of all kinds. First of all, he relied much on language for the reactions he would obtain, playing on, and with, words so as to ironically unmask untrue relationships between words and things. Secondly, he pushed to the limit the convention of addressing to spectators and listeners usually employed in live performing, stretching its role in the written discourse to come to a greater effect of involvement of readers. Lastly, he profited much from what we labelled his “specific weight”, i.e. the potential influence in society given by his recognised authority in determined matters, a position from which he could launch deeper attacks on conventional beliefs, so complying with the duty of a comic we hypothesised before: that of criticising society even in threat of losing the benefits the post guarantees. That seemingly masochistic tendency has its rationale. Every representative has many privileges on the assumption that he, or she, has great responsibilities in administrating. The higher those responsibilities are, the higher is the reward but also the severer is the punishment for the misfits done while in charge. But we all know that not everybody accepts the rules and many try to use their power for their personal benefit and do not want to undergo law’s penalties. The comic, showing in this case more civic sense than others, helped very much in this by the non-accessibility to the use of public force, finds in the role of the scapegoat the right accomplishment of his task, accepting the punishment when his breaking of the conventions is too stark to be forgiven. As Ceccarelli demonstrated, the role of the object of laughter (comic, ridicule) has its very own positive side: there is freedom of expression for the person, and at the same time integration in the society, even though at low levels. Then the banishment of a ‘social’ comic can never get to total extirpation from society, revealing how the scope of the comic lies on an entirely fictional layer, bearing no relation with facts, nor real consequences in terms of physical health. Myles na Gopaleen, mastering these three characteristics we postulated in the highest way, can be considered an author worth noting; and the oeuvre he wrote, the whole collection of Cruiskeen Lawn articles, is rightfully a novel because respects the canons of it especially regarding the authorial figure and his relationship with the readers. In addition, his work can be studied even if we cannot conduct our research on the whole of it, this proceeding being justified exactly because of the resemblances to the real figure of the storyteller: its ‘chapters’ —the daily articles— had a format that even the distracted reader could follow, even one who did not read each and every article before. So we can critically consider also a good part of them, as collected in the seven volumes published so far, with the addition of some others outside the collections, because completeness in this case is not at all a guarantee of a better precision in the assessment; on the contrary: examination of the totality of articles might let us consider him as a person and not a persona. Once cleared these points, we proceeded further in considering tout court the works of Brian O'Nolan as the works of a unique author, rather than complicating the references with many names which are none other than well-wrought sides of the same personality. By putting O'Nolan as the correct object of our research, empirical author of the works of the personae Flann O'Brien and Myles na Gopaleen, there comes out a clearer literary landscape: the comic author Brian O'Nolan, self-conscious of his paramount role in society as both a guide and a scourge, in a word as an a(rche)typical, intentionally chose to differentiate his personalities so as to create different perspectives in different fields of knowledge by using, in addition, different means of communication: novels and journalism. We finally compared the newly assessed author Brian O'Nolan with other great Irish comic writers in English, such as James Joyce (the one everybody named as the master in the field), Samuel Beckett, and Jonathan Swift. This comparison showed once more how O'Nolan is in no way inferior to these authors who, greatly celebrated by critics, have nonetheless failed to achieve that great public recognition O’Nolan received alias Myles, awarded by the daily audience he reached and influenced with his Cruiskeen Lawn column. For this reason, we believe him to be representative of the comic figure’s function as a social regulator and as a builder of solidarity, such as that Raymond Williams spoke of in his work (Williams 1982), with in mind the aim of building a ‘culture in common’. There is no way for a ‘culture in common’ to be acquired if we do not accept the fact that even the most functional society rests on conventions, and in a world more and more ‘connected’ we need someone to help everybody negotiate with different cultures and persons. The comic gives us a worldly perspective which is at the same time comfortable and distressing but in the end not harmful as the one furnished by politicians could be: he lets us peep into parallel worlds without moving too far from our armchair and, as a consequence, is the one who does his best for the improvement of our understanding of things.

Shape memory and elastoplastic materials: from constitutive and numerical to fatigue modeling

Shape memory materials (SMMs) represent an important class of smart materials that have the ability to return from a deformed state to their original shape. Thanks to such a property, SMMs are utilized in a wide range of innovative applications. The increasing number of applications and the consequent involvement of industrial players in the field have motivated researchers to formulate constitutive models able to catch the complex behavior of these materials and to develop robust computational tools for design purposes. Such a research field is still under progress, especially in the prediction of shape memory polymer (SMP) behavior and of important effects characterizing shape memory alloy (SMA) applications. Moreover, the frequent use of shape memory and metallic materials in biomedical devices, particularly in cardiovascular stents, implanted in the human body and experiencing millions of in-vivo cycles by the blood pressure, clearly indicates the need for a deeper understanding of fatigue/fracture failure in microsize components. The development of reliable stent designs against fatigue is still an open subject in scientific literature. Motivated by the described framework, the thesis focuses on several research issues involving the advanced constitutive, numerical and fatigue modeling of elastoplastic and shape memory materials. Starting from the constitutive modeling, the thesis proposes to develop refined phenomenological models for reliable SMA and SMP behavior descriptions. Then, concerning the numerical modeling, the thesis proposes to implement the models into numerical software by developing implicit/explicit time-integration algorithms, to guarantee robust computational tools for practical purposes. The described modeling activities are completed by experimental investigations on SMA actuator springs and polyethylene polymers. Finally, regarding the fatigue modeling, the thesis proposes the introduction of a general computational approach for the fatigue-life assessment of a classical stent design, in order to exploit computer-based simulations to prevent failures and modify design, without testing numerous devices.

Untersuchungen zur Genauigkeit adaptiver unstetiger Galerkin-Simulationen mit Hilfe von Luftblasen-Testfällen

Allgemein erlaubt adaptive Gitterverfeinerung eine Steigerung der Effizienz numerischer Simulationen ohne dabei die Genauigkeit des Ergebnisses signifikant zu verschlechtern. Es ist jedoch noch nicht erforscht, in welchen Bereichen des Rechengebietes die räumliche Auflösung tatsächlich vergröbert werden kann, ohne die Genauigkeit des Ergebnisses signifikant zu beeinflussen. Diese Frage wird hier für ein konkretes Beispiel von trockener atmosphärischer Konvektion untersucht, nämlich der Simulation von warmen Luftblasen. Zu diesem Zweck wird ein neuartiges numerisches Modell entwickelt, das auf diese spezielle Anwendung ausgerichtet ist. Die kompressiblen Euler-Gleichungen werden mit einer unstetigen Galerkin Methode gelöst. Die Zeitintegration geschieht mit einer semi-implizite Methode und die dynamische Adaptivität verwendet raumfüllende Kurven mit Hilfe der Funktionsbibliothek AMATOS. Das numerische Modell wird validiert mit Hilfe einer Konvergenzstudie und fünf Standard-Testfällen. Eine Methode zum Vergleich der Genauigkeit von Simulationen mit verschiedenen Verfeinerungsgebieten wird eingeführt, die ohne das Vorhandensein einer exakten Lösung auskommt. Im Wesentlichen geschieht dies durch den Vergleich von Eigenschaften der Lösung, die stark von der verwendeten räumlichen Auflösung abhängen. Im Fall einer aufsteigenden Warmluftblase ist der zusätzliche numerische Fehler durch die Verwendung der Adaptivität kleiner als 1% des gesamten numerischen Fehlers, wenn die adaptive Simulation mehr als 50% der Elemente einer uniformen hoch-aufgelösten Simulation verwendet. Entsprechend ist die adaptive Simulation fast doppelt so schnell wie die uniforme Simulation.

Effect of mesh distortion on the accuracy of high order vorticity-velocity CFD approaches

The numerical solution of the incompressible Navier-Stokes equations offers an alternative to experimental analysis of fluid-structure interaction (FSI). We would save a lot of time and effort and help cut back on costs, if we are able to accurately model systems by these numerical solutions. These advantages are even more obvious when considering huge structures like bridges, high rise buildings or even wind turbine blades with diameters as large as 200 meters. The modeling of such processes, however, involves complex multiphysics problems along with complex geometries. This thesis focuses on a novel vorticity-velocity formulation called the Kinematic Laplacian Equation (KLE) to solve the incompressible Navier-stokes equations for such FSI problems. This scheme allows for the implementation of robust adaptive ordinary differential equations (ODE) time integration schemes, allowing us to tackle each problem as a separate module. The current algortihm for the KLE uses an unstructured quadrilateral mesh, formed by dividing each triangle of an unstructured triangular mesh into three quadrilaterals for spatial discretization. This research deals with determining a suitable measure of mesh quality based on the physics of the problems being tackled. This is followed by exploring methods to improve the quality of quadrilateral elements obtained from the triangles and thereby improving the overall mesh quality. A series of numerical experiments were designed and conducted for this purpose and the results obtained were tested on different geometries with varying degrees of mesh density.