Ship roll motion has been the subject of many studies, because of the complexities associated with this mode of ship motion, and its impact on operability, safety, and survivability. Estimation and prediction of the energy transfer and dissipation of the hydrodynamic components, added inertia and damping, is essential to accurately describe the roll motions of a ship. This is especially true for ship operations in moderate to extreme sea conditions. In these conditions, a complex process of energy transfer occurs, which alters the physical behavior of the hydrodynamic components, and ultimately affects the amplitude of ship roll motion. Bilge keels have been used on ships for nearly two centuries, to increase damping and reduce the severity of roll motions experienced by a ship in waves. Because ship motions are more severe in extreme sea conditions, large roll angles may occur. With the possibility of crew injury, cargo damage, or even capsize, it is important to understand the behavior of the roll added inertia and damping for these conditions. Dead ship conditions, where ships may experience excitation from beam, or near beam, seas present a worst case scenario in heavy weather. The behavior of a ship in this condition should be considered in both the design and assessment of seakeeping performance. In this study, hydrodynamic component models of roll added inertia and roll damping were examined and assessed to be unsuitable for accurate prediction of ship motions in heavy weather. A series of model experiments and numerical studies were carried out and analyzed to provide improved understanding of the essential physical phenomena which affect the hydrodynamic components and occur during large amplitude roll motion. These observations served to confirm the hypothesis that the existing models for roll added inertia and damping in large amplitude motions are not sufficient. The change in added inertia and damping behavior for large roll motion is largely due to the effects of hull form geometry, including the bilge keels and topside geometry, and their interactions with the free surface. Therefore, the changes in added inertia and damping must be considered in models to describe and predict roll motions in severe wave environments. Based on the observations and analysis from both experimental and numerical methods, several time-domain model formulations were proposed and examined to model hydrodynamic components of large amplitude roll motions. These time-domain formulations included an analytical model with memory effects, a piecewise formulation, and several possibilities for a bilge keel force model. Although a piecewise model for roll damping was proposed, which can improve the applicability of traditional formulations for roll damping to heavy weather conditions, a further attempt was undertaken to develop a more detailed model specifically for the bilge keel force. This model was based on the consideration of large amplitude effects on the hydrodynamic components of the bilge keel force. Both the piecewise and bilge keel force models have the possibility to enable improved accuracy of potential flow-based numerical prediction of ship roll motion in heavy weather. However, additional development remains to address issues for further practical implementation. / Ph. D.

Afin de réduire les émissions de gaz à effet de serre et le coût du transport maritime, l'utilisation des cerfs-volants comme système de propulsion auxiliaire des navires est prometteuse. Pour estimer les performances et l’opérabilité d’un navire tracté par cerf-volant, une modélisation dynamique du système est alors mise en oeuvre. Une modélisation analytique de cerf-volant est utilisée. Ce modèle néglige la masse du cerf-volant et suppose que les lignes sont droites et indéformables. Ces hypothèses conduisent à un modèle cinématique dépendant du coefficient de portance et de la finesse aérodynamique. Une évolution linéaire des coefficients aérodynamiques en fonction de la courbure de la trajectoire de vol est proposée. Par ailleurs, en développant un modèle quasi analytique de ligne, il est montré qu’à partir de 2 m.s-1 de vent relatif que l’hypothèse de ligne droite est raisonnable. En se basant sur un modèle de ligne, un critère analytique de vitesse de vent minimum permettant un vol quasi-statique est présenté. Dans le but de résoudre l’ensemble des termes d’interaction entre le cerf-volant et le navire, un modèle linéarisé de tenue à la mer temporelle est développé. Le produit de convolution de la réponse impulsionnelle du navire est calculé avec des systèmes d’états. Cependant comme celle-ci représente mal les mouvements horizontaux des navires, le modèle développé est alors couplé à un modèle de manoeuvrabilité. Pour étudier les interactions entre le cerf-volant et le navire un couplage monolithique et un couplage dissocié sont comparés. Le couplage dissocié néglige l’influence des mouvements du navire sur le vol du cerf-volant. En cas de mer calme, les résultats obtenus par les deux types de couplage sont très proches. En cas de houle régulière les mouvements du navire sont principalement causés par la houle. Le couplage monolithique montre qu’un réseau de sous-harmoniques basse fréquence apparait alors dans le spectre d’excitation du navire. La fréquence fondamentale des sous-harmoniques est donnée par la différence entre la fréquence de vague et la fréquence de l’harmonique la plus proche de l’excitation du kite. Quand cette différence est suffisamment petite, un phénomène d’accrochage apparait. Ce phénomène est bénéfique pour le cerf-volant et le navire quand le décalage des harmoniques d'excitation correspond à une augmentation. Par ailleurs, une étude de la stabilité de route montre qu'il est nécessaire de contrôler activement le safran. / In order to reduce greenhouse gas emissions and shipping costs, the use of kites as an auxiliary propulsion device for ships is promising. In order to estimate the performance and the operability of a kite-towed vessel, a dynamic modeling of the system is implemented. A classical kite modeling is used. This model neglects the mass of the kite and assumes straight and inelastic tethers. These assumptions lead to a kinematic model depending on the lift coefficient and the aerodynamic lift to drag ration angle. A linear evolution of these aerodynamic coefficients as a function of the curvature of the flight path is proposed. In addition, by developing a quasi-analytical line model, it is shown that from 2 m.s-1 of relative wind the straight tether assumption is reasonable. Based on the tether model, an analytical criterion assessing the minimum wind speed to enable a quasi-static kite flight is developed. To solve all the interaction terms between the kite and the ship, a time domain seakeeping model based on the linearized ship equation of motion assuming a potential flow is developed. The convolution product of the impulse response of the ship is computed with state-space systems. However, since horizontal ship motions are not well represented by such theories, a coupling with a maneuvering model is presented.Comparisons to experimental data tests show good agreements. To study the interactions between the kite and the ship, a monolithic coupling and a dissociated coupling are compared. The dissociated coupling neglects the influence of ship motions on the kite flight. In a calm water case, results obtained by the two types of coupling are very close. In regular waves, ship motions are dominated by the wave influence. Thus, with the monolithic coupling, a network of low frequency subharmonic appears in the kite excitation spectrum. The fundamental frequency of the subharmonic is given by the difference between the wave frequency and the frequency of the nearest kite excitation harmonic. When this difference is small enough, a lock-in phenomenon appears. This phenomenon is a benefit for the kite and the ship when the shift of the excitation harmonics corresponds to an increase. Furthermore, a course keeping stability study shows that the rudder needs to be actively controlled.

O aumento na complexidade das operações de sistemas de produção de petróleo e gás no mar e um fato concreto. Atualmente, a necessidade de avaliar o comportamento no mar destes sistemas requer a compreensão de fenômenos, até então, pouco explorados e que tornam imprescindível uma investigação apoiada em experimentos com modelos reduzidos. Resultados obtidos em tanques de provas, por sua vez, requerem metodologias que contam com a experiência do pesquisador e que, em muitos casos, não são encontradas de maneira detalhada o suficiente na literatura. Ou seja, muitas destas metodologias normalmente são encontradas, no entanto, não em nível para que pesquisadores iniciantes desenvolvam atividades experimentais minimamente pertinentes as eventuais tomadas de decisão ou confrontação com outras linhas de abordagem como a analítica e/ou a numérica. Portanto, e exatamente neste contexto que se insere a presente dissertação de mestrado, buscando descrever em detalhes a teoria e prática envolvida nos procedimentos experimentais para o estudo de comportamento no mar típico de uma plataforma padrão, perfeitamente adaptáveis a outras geometrias mais complexas de sistemas navais e oceânicos. Esses procedimentos envolvem desde o planejamento dos ensaios necessários, passando pelos cuidados durante sua execução, culminando nos métodos de análise dos resultados e formas usuais de documentação. Para facilitar o processo de compreensão, além do próprio texto, este trabalho também contemplou a construção de uma ferramenta matemática dedicada a condução das atividades acima, destacando-se a avaliação e obtenção de parâmetros a partir de ensaios de decaimento e o levantamento expedito das curvas de resposta em ondas regulares, transientes e irregulares. / The increasing complexity of o shore system operations for oil and gas production is a reality. Currently, the need to evaluate the seakeeping of these systems requires understanding some phenomena not yet explored and, for that reason, researches using experiments with small scale models become indispensable. Results obtained in model basins require methodologies that rely on the researchers experience and, most of the time, they are not found detailed enough in the literature. When many of these methodologies are usually found, however, they are not ready for beginner researchers to develop experimental activities minimally relevant to any decision and/or confrontation with other lines, such as the analytical and/or numerical approaches. Therefore, the context of this dissertation describes in detail the theory and involved practice in an experimental procedure for the study of seakeeping of a standard platform, perfectly adaptable to other complex geometries and naval systems. These procedures involve the planning of the necessary tests, through the care during their execution, culminating in the methods of result analyses and usual forms of documentation. In order to facilitate the process of understanding, the construction of a dedicated mathematical tool to conduct the activities described above is provided, emphasizing the assessment and quick obtaining parameters from decay tests, curves response in regular and transient waves, among many others.

This thesis addresses the development of a weakly non-linear Higher Order Time Domain Rankine Panel Method (TDRPM) for the linear and weakly non-linear seakeeping analysis of floating offshore structures, including wave-current interaction effects. A higher order boundary elements method is adopted based on the body geometry description using Non-uniform Rational B-splines (NURBS) formulation, which can be generated by many standard Computed Aided Design (CAD) softwares widely available, and the several computed quantities (velocity potential, free surface elevation and others) are described using a B-spline formulation of arbitrary degree. The problem is formulated considering wave-current-body interactions up to second order effects, these ones considering the terms obtained by interaction of zero/first order quantities. In order to provide numerical stability, the Initial Boundary Value Problem (IBVP) is formulated in terms of the velocity potential and the local acceleration potential, the later used to predict the hydrodynamic pressure accurately. The zeroth order problem is solved using the double-body linearization instead of the Neumman-Kelvin one in order to allow bluff bodies simulation, leading to very complex expressions regarding the m-terms computation. The method adopts the Rankine sources as Green\'s function, which are integrated using Gauss quadrature in the entire domain, but for the self-influence terms that are integrated using a desingularized procedure. The numerical method is verified initially considering simplified geometries (sphere and circular cylinder) for both, first and second-order computations, with and without current effects. The derivatives of the velocity potential are verified by comparing the numerical m-terms to the analytical solutions for a hemisphere under uniform flow. The mean and double frequency drift forces are computed for fixed and floating structures and the quantities involved in these computations (wave runup, velocity field) are also compared to literature results, including the free floating response of a sphere under current effects. Two practical cases are also studied, namely the wave-induced second order responses of a semi-submersible platform and the wavedrift-damping effect evaluated through the equilibrium angle of a turret moored FPSO. For the former, some specific model tests were designed and conducted in a wave-basin. / Essa tese aborda o desenvolvimento de um método de Rankine de ordem alta no domínio do tempo (TDRPM) para o estudo de problemas lineares e fracamente não lineares, incluindo o efeito de corrente, envolvendo sistemas flutuantes. O método de ordem alta desenvolvido considera a geometria do corpo como descrita pelo padrão Non-uniform Rational Basis Spline (NURBS), que está disponível em diverso0s softwares de Computed Aided Design (CAD) disponíveis, sendo as diversas funções (potencial de velocidades, elevação da superfície-livre e outros) descritos usando B-splines de grau arbitrário. O problema é formulado considerando interações onda-corrente-estrutura para efeitos de até segunda ordem, os de ordem superior sendo calculados considerando as interações somente dos termos de ordem inferior. Para garantir a estabilidade numérica, o problema de contorno com valor inicial é formulado0 com relação ao potencial de velocidade e de parcela local do potencial de acelerações, este para garantir cálculos precisos da pressão dinâmica. O problema de ordem zero é resolvido usando a linearização de corpo-duplo ao invés da linearização de Neumman-Kelvin para permitir a análise de corpos rombudos, o que requer o cálculo de termos-m de grande complexidade. O método adota fontes de Rankine como funções de Green, que são integradas através de quadratura de Gauss-Legendre no domínio todo, exceto com relação aos termos de auto-influência que adotasm um procedimento de dessingularização. O método numérico é inicialmente verificado considerando corpos de geometria simplificada (esfera e cilindro), considerando efeitos de primeira e segunda ordens, com e sem corrente. As derivadas do potencial de velocidade são verificadas comparando os termos-m obtidos numericamente com soluções analíticas disponíveis para a esfera em fluído infinito. As forças de deriva média e dupla-frequência são calculadas para estruturas fixas e flutuantes, sendo as funções calculadas (elevação da superfície, campo de velocidade) comparadas com resultados disponíveis na literatura, incluindo o movimento da esfera flutuante sob a ação de corrente e ondas. São também estudados dois casos de aplicação prática, a resposta de segunda ordem de uma plataforma semi-submersível e o efeito de wave-drift damping para o ângulo de equilíbrio de uma plataforma FPSO ancorada através de sistema turred. No caso da semi-submersível, os ensaios foram projetados e realizados em tanque de provas.

Um tanque de provas do tipo reboque permite a realização de ensaios hidrodinâmicos com modelos em escala, sua presença é importante devido à possibilidade de obter características hidrodinâmicas que dimensionam a potência e qualidade do comportamento dos navios durante a sua operação, otimizando os projetos de forma particular ou geral, tanto para a navegação marítima, lacustre ou fluvial. O objetivo principal desta pesquisa é estudar e propor uma metodologia para o dimensionamento e concepção de um tanque de reboque para o Serviço Industrial da Marinha (SIMA PERU), principal estaleiro do Peru, de maneira que possa realizar os ensaios hidrodinâmicos correspondentes aos diferentes tipos de embarcações produzidas pelo SIMA PERU. Como propósito de estudo será desenvolvido uma análise de um tanque de reboque que permitirá ensaiar modelos de diferentes tipos de embarcações, levando em consideração as diferentes condições ambientais e climáticas relacionadas ao litoral peruano em toda sua extensão, isto é, uma condição marítima equivalente a uma escala Beaufort 5. Estas são as condições que foram requeridas para atuar na costa peruana. Será proposto um tanque de reboque com características próprias, baseado no razoável dimensionamento dos modelos reduzidos e nas necessidades e requerimentos de ensaio de acordo às recomendações apresentadas pela Conferência Internacional de Tanques de Reboque (International Towing Tank Conference- ITTC). / A towing tank allows hydrodynamic testing with scale models, their presence is important because allows to obtain hydrodynamics characteristics that they measure the power and quality of behavior during the operation, optimizing the designs in general or particular form of vessels for sea, lake or river. The main objective of this research is to study and propose a method for sizing and development of a towing tank for the Naval Industrial Service; SIMA - PERU, main shipyard from Peru, so it carry out hydrodynamics tests corresponding to different types of vessels produced by SIMA - PERU. The purpose of study will be developed analysis of a towing tank that will test models of different types of vessels, taking into account the different environmental and climatic conditions related to the Peruvian coast, in other words, sea conditions equivalent to a Beaufort \"5\". These are the conditions that were required to act on the Peruvian coast. Will be offered a towing tank with its own characteristics, needs and requirements based on the consistent sizing of reduced models and according to the recommendations made by the International Towing Tank Conference - ITTC.

Um tanque de provas do tipo reboque permite a realização de ensaios hidrodinâmicos com modelos em escala, sua presença é importante devido à possibilidade de obter características hidrodinâmicas que dimensionam a potência e qualidade do comportamento dos navios durante a sua operação, otimizando os projetos de forma particular ou geral, tanto para a navegação marítima, lacustre ou fluvial. O objetivo principal desta pesquisa é estudar e propor uma metodologia para o dimensionamento e concepção de um tanque de reboque para o Serviço Industrial da Marinha (SIMA PERU), principal estaleiro do Peru, de maneira que possa realizar os ensaios hidrodinâmicos correspondentes aos diferentes tipos de embarcações produzidas pelo SIMA PERU. Como propósito de estudo será desenvolvido uma análise de um tanque de reboque que permitirá ensaiar modelos de diferentes tipos de embarcações, levando em consideração as diferentes condições ambientais e climáticas relacionadas ao litoral peruano em toda sua extensão, isto é, uma condição marítima equivalente a uma escala Beaufort 5. Estas são as condições que foram requeridas para atuar na costa peruana. Será proposto um tanque de reboque com características próprias, baseado no razoável dimensionamento dos modelos reduzidos e nas necessidades e requerimentos de ensaio de acordo às recomendações apresentadas pela Conferência Internacional de Tanques de Reboque (International Towing Tank Conference- ITTC). / A towing tank allows hydrodynamic testing with scale models, their presence is important because allows to obtain hydrodynamics characteristics that they measure the power and quality of behavior during the operation, optimizing the designs in general or particular form of vessels for sea, lake or river. The main objective of this research is to study and propose a method for sizing and development of a towing tank for the Naval Industrial Service; SIMA - PERU, main shipyard from Peru, so it carry out hydrodynamics tests corresponding to different types of vessels produced by SIMA - PERU. The purpose of study will be developed analysis of a towing tank that will test models of different types of vessels, taking into account the different environmental and climatic conditions related to the Peruvian coast, in other words, sea conditions equivalent to a Beaufort \"5\". These are the conditions that were required to act on the Peruvian coast. Will be offered a towing tank with its own characteristics, needs and requirements based on the consistent sizing of reduced models and according to the recommendations made by the International Towing Tank Conference - ITTC.

This thesis addresses the development of a weakly non-linear Higher Order Time Domain Rankine Panel Method (TDRPM) for the linear and weakly non-linear seakeeping analysis of floating offshore structures, including wave-current interaction effects. A higher order boundary elements method is adopted based on the body geometry description using Non-uniform Rational B-splines (NURBS) formulation, which can be generated by many standard Computed Aided Design (CAD) softwares widely available, and the several computed quantities (velocity potential, free surface elevation and others) are described using a B-spline formulation of arbitrary degree. The problem is formulated considering wave-current-body interactions up to second order effects, these ones considering the terms obtained by interaction of zero/first order quantities. In order to provide numerical stability, the Initial Boundary Value Problem (IBVP) is formulated in terms of the velocity potential and the local acceleration potential, the later used to predict the hydrodynamic pressure accurately. The zeroth order problem is solved using the double-body linearization instead of the Neumman-Kelvin one in order to allow bluff bodies simulation, leading to very complex expressions regarding the m-terms computation. The method adopts the Rankine sources as Green\'s function, which are integrated using Gauss quadrature in the entire domain, but for the self-influence terms that are integrated using a desingularized procedure. The numerical method is verified initially considering simplified geometries (sphere and circular cylinder) for both, first and second-order computations, with and without current effects. The derivatives of the velocity potential are verified by comparing the numerical m-terms to the analytical solutions for a hemisphere under uniform flow. The mean and double frequency drift forces are computed for fixed and floating structures and the quantities involved in these computations (wave runup, velocity field) are also compared to literature results, including the free floating response of a sphere under current effects. Two practical cases are also studied, namely the wave-induced second order responses of a semi-submersible platform and the wavedrift-damping effect evaluated through the equilibrium angle of a turret moored FPSO. For the former, some specific model tests were designed and conducted in a wave-basin. / Essa tese aborda o desenvolvimento de um método de Rankine de ordem alta no domínio do tempo (TDRPM) para o estudo de problemas lineares e fracamente não lineares, incluindo o efeito de corrente, envolvendo sistemas flutuantes. O método de ordem alta desenvolvido considera a geometria do corpo como descrita pelo padrão Non-uniform Rational Basis Spline (NURBS), que está disponível em diverso0s softwares de Computed Aided Design (CAD) disponíveis, sendo as diversas funções (potencial de velocidades, elevação da superfície-livre e outros) descritos usando B-splines de grau arbitrário. O problema é formulado considerando interações onda-corrente-estrutura para efeitos de até segunda ordem, os de ordem superior sendo calculados considerando as interações somente dos termos de ordem inferior. Para garantir a estabilidade numérica, o problema de contorno com valor inicial é formulado0 com relação ao potencial de velocidade e de parcela local do potencial de acelerações, este para garantir cálculos precisos da pressão dinâmica. O problema de ordem zero é resolvido usando a linearização de corpo-duplo ao invés da linearização de Neumman-Kelvin para permitir a análise de corpos rombudos, o que requer o cálculo de termos-m de grande complexidade. O método adota fontes de Rankine como funções de Green, que são integradas através de quadratura de Gauss-Legendre no domínio todo, exceto com relação aos termos de auto-influência que adotasm um procedimento de dessingularização. O método numérico é inicialmente verificado considerando corpos de geometria simplificada (esfera e cilindro), considerando efeitos de primeira e segunda ordens, com e sem corrente. As derivadas do potencial de velocidade são verificadas comparando os termos-m obtidos numericamente com soluções analíticas disponíveis para a esfera em fluído infinito. As forças de deriva média e dupla-frequência são calculadas para estruturas fixas e flutuantes, sendo as funções calculadas (elevação da superfície, campo de velocidade) comparadas com resultados disponíveis na literatura, incluindo o movimento da esfera flutuante sob a ação de corrente e ondas. São também estudados dois casos de aplicação prática, a resposta de segunda ordem de uma plataforma semi-submersível e o efeito de wave-drift damping para o ângulo de equilíbrio de uma plataforma FPSO ancorada através de sistema turred. No caso da semi-submersível, os ensaios foram projetados e realizados em tanque de provas.

O aumento na complexidade das operações de sistemas de produção de petróleo e gás no mar e um fato concreto. Atualmente, a necessidade de avaliar o comportamento no mar destes sistemas requer a compreensão de fenômenos, até então, pouco explorados e que tornam imprescindível uma investigação apoiada em experimentos com modelos reduzidos. Resultados obtidos em tanques de provas, por sua vez, requerem metodologias que contam com a experiência do pesquisador e que, em muitos casos, não são encontradas de maneira detalhada o suficiente na literatura. Ou seja, muitas destas metodologias normalmente são encontradas, no entanto, não em nível para que pesquisadores iniciantes desenvolvam atividades experimentais minimamente pertinentes as eventuais tomadas de decisão ou confrontação com outras linhas de abordagem como a analítica e/ou a numérica. Portanto, e exatamente neste contexto que se insere a presente dissertação de mestrado, buscando descrever em detalhes a teoria e prática envolvida nos procedimentos experimentais para o estudo de comportamento no mar típico de uma plataforma padrão, perfeitamente adaptáveis a outras geometrias mais complexas de sistemas navais e oceânicos. Esses procedimentos envolvem desde o planejamento dos ensaios necessários, passando pelos cuidados durante sua execução, culminando nos métodos de análise dos resultados e formas usuais de documentação. Para facilitar o processo de compreensão, além do próprio texto, este trabalho também contemplou a construção de uma ferramenta matemática dedicada a condução das atividades acima, destacando-se a avaliação e obtenção de parâmetros a partir de ensaios de decaimento e o levantamento expedito das curvas de resposta em ondas regulares, transientes e irregulares. / The increasing complexity of o shore system operations for oil and gas production is a reality. Currently, the need to evaluate the seakeeping of these systems requires understanding some phenomena not yet explored and, for that reason, researches using experiments with small scale models become indispensable. Results obtained in model basins require methodologies that rely on the researchers experience and, most of the time, they are not found detailed enough in the literature. When many of these methodologies are usually found, however, they are not ready for beginner researchers to develop experimental activities minimally relevant to any decision and/or confrontation with other lines, such as the analytical and/or numerical approaches. Therefore, the context of this dissertation describes in detail the theory and involved practice in an experimental procedure for the study of seakeeping of a standard platform, perfectly adaptable to other complex geometries and naval systems. These procedures involve the planning of the necessary tests, through the care during their execution, culminating in the methods of result analyses and usual forms of documentation. In order to facilitate the process of understanding, the construction of a dedicated mathematical tool to conduct the activities described above is provided, emphasizing the assessment and quick obtaining parameters from decay tests, curves response in regular and transient waves, among many others.

With steadily increasing computational power, computational fluid dynamics (CFD) can be applied to unsteady problems such as seakeeping simulations. Therefore, a good balance between accuracy and computational speed is required. This thesis investigates the application of CFD to seakeeping performance predictions and aims to propose a best-practice procedure for efficient seakeeping simulations. The widely used KVLCC2 research vessel serves as a test case for this thesis and FINEŠ/Marine software package is used for CFD computations. In order to validate the simulations, results are compared to recent experimental data from SSPA as well as predictions with potential ˛ow code SHIPFLOW® Motions. As for the calm water simulations, both inviscid and viscous ˛ow computations are performed in combination with three mesh refinement levels. Seakeeping simulations with regular head waves of different wavelengths are set-up correspondingly. Furthermore, different strategies for time discretization are investigated. With the given computational resources, it is not feasible to complete seakeeping simulations with a ˝ne mesh. However, already the coarse meshes give good agreement to experiments and SHIPFLOW® Motions' predictions. Viscous ˛ow simulations turn out to be more robust than Euler ˛ow computations and thus should be preferred. Regarding the time discretization, a fixed time discretization of 150 steps per wave period has shown the best balance between accuracy and speed. Based on these findings, a best-practice procedure for seakeeping performance predictions in FINEŠ/Marine is established. Taking the most efficient settings obtained from head wave simulations, the vessel is subjected to oblique waves with 160° encounter angle. Under similar wave conditions, CFD predictions of a similar thesis show close agreement in terms of added wave resistance. Compared to the previous head wave conditions of this study, added resistance in 160° oblique waves is found to be significantly higher. This underlines that oblique bow quartering waves represent a relevant case for determining the maximum required power of a ship. CFD and potential ˛ow show similar accuracy with respect to ship motions and added wave resistance, albeit potential ˛ow outperforms CFD in terms of computational speed. Hence, CFD should be applied in cases where viscous effects are known to have large influence on a vessel's seakeeping behavior. This can be the case if motion control and damping devices are to be evaluated, for instance. / Tack vare den stadigt ökande beräkningskraften kan beräkningsuiddynamik (CFD) idag användas på beräkningsintensiva problem som sjöegenskapssimulationer. Den här rapporten undersöker användning av CFD på sjöegenskapsprestanda och syftar till att foreslå ett best-practice förfaringssätt för effektiv sjöegenskapssimulationer. Forskningsskrovet KVLCC2 fungerar som ett testfall för denna rapport och FINE—/Marine-mjukvarupaketet används för CFD-beräkningar. Viktiga parametrar, såsom ödestyp, beräkningsnät och tidssteg varierars systematiskt. Resultaten jämförs med experiment gjorda vid SSPA. Baserat på resultaten förelås en best-practice. Den föreslagna best-practice användas vidare för berökningar av sjöegenskaper i sneda vågor. Jämförelse av resultaten med liknande studier visar god överensstämmelse. Genom att använda det föreslagna förfarandet för best-practice kan CFD-sjöegenskapssimulationer användas på fall där viskösa krafter måste beaktas, till exempel rörelseregleringsanordningar.

A planing catamaran is a high-powered, twin-hull water craft that develops the lift which supports its weight, primarily through hydrodynamic water pressure. Presently, there is increasing demand to further develop the catamaran's planing and seakeeping characteristics so that it is more effectively applied in today's modern military and pleasure craft, and offshore industry supply vessels. Over the course of the past ten years, Vorus (1994,1996,1998,2000) has systematically conducted a series of research works on planing craft hydrodynamics. Based on Vorus' planing monohull theory, he has developed and implemented a first order nonlinear model for planing catamarans, embodied in the computer code CatSea. This model is currently applied in planing catamaran design. However, due to the greater complexity of the catamaran flow physics relative to the monohull, Vorus's (first order) catamaran model implemented some important approximations and simplifications which were not considered necessary in the monohull work. The research of this thesis is for relieving the initially implemented approximations in Vorus's first order planing catamaran theory, and further developing and extending the theory and application beyond that currently in use in CatSea. This has been achieved through a detailed theoretical analysis, algorithm development, and careful coding. The research result is a new, complete second order nonlinear hydrodynamic theory for planing catamarans. A detailed numerical comparison of the Vorus's first order nonlinear theory and the second order nonlinear theory developed here is carried out. The second order nonlinear theory and algorithms have been incorporated into a new catamaran design code (NewCat). A detailed mathematical formulation of the base first order CatSea theory, followed by the extended second order theory, is completely documented in this thesis.