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Relevant bibliographies by topics / Boussinesq-Type

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Academic literature on the topic 'Boussinesq-Type'

Author: Grafiati

Published: 23 November 2024

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Journal articles on the topic "Boussinesq-Type"

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Yuldashev, Tursun. "Mixed Boussinesq-Type Differential Equation." Vestnik Volgogradskogo gosudarstvennogo universiteta. Serija 1. Mathematica. Physica, no. 2 (June 2016): 13–26. http://dx.doi.org/10.15688/jvolsu1.2016.2.2.

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McCann, Maile, Patrick Lynett, and Behzad Ebrahimi. "FREQUENCY DISPERSION IN DEPTH-INTEGRATED MODELS THROUGH MACHINE LEARNING SURROGATES." Coastal Engineering Proceedings, no. 37 (September 1, 2023): 54. http://dx.doi.org/10.9753/icce.v37.waves.54.

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Boussinesq- type wave models have the accuracy to resolve wave propagation in coastal zones, having the ability to capture nearshore dynamics that include both nonlinear and dispersive effects for relatively short waves. The accuracy of Boussinesq type models over their counterparts which utilize the non- linear shallow water (NLSW) equations provides a clear advantage in studying nearshore processes. However, the computational expense of finding the Boussinesq solution over the NLSW solution hinders fast and/ or real time simulation using Boussinesq type models.

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De BRYE, Sébastien, Rodolfo Silva, and Edgar Mendoza. "BOUSSINESQ TYPE MODELLING OF STORM SURGES." Coastal Engineering Proceedings 1, no. 33 (October 11, 2012): 15. http://dx.doi.org/10.9753/icce.v33.posters.15.

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To get a better understanding of transient stages of storm surges, this work examines the response of a Boussinesq type model to a moving low pressure system forcing, discussing results through numerical simulations in one horizontal dimension.

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Engelbrecht, Jüri, Tanel Peets, and Kert Tamm. "Solitons modelled by Boussinesq-type equations." Mechanics Research Communications 93 (October 2018): 62–65. http://dx.doi.org/10.1016/j.mechrescom.2017.05.008.

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Meletlidou, Efi, Joël Pouget, Gérard Maugin, and Elias Aifantis. "Invariant relations in Boussinesq-type equations." Chaos, Solitons & Fractals 22, no. 3 (November 2004): 613–25. http://dx.doi.org/10.1016/j.chaos.2004.02.007.

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Schäffer, Hemming A., and Per A. Madsen. "Further enhancements of Boussinesq-type equations." Coastal Engineering 26, no. 1-2 (September 1995): 1–14. http://dx.doi.org/10.1016/0378-3839(95)00017-2.

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Murawski, K. "Instabilities of generalized Boussinesq-type waves." Wave Motion 10, no. 2 (April 1988): 161–69. http://dx.doi.org/10.1016/0165-2125(88)90041-8.

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Luo, Dejun. "Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system." Nonlinearity 34, no. 12 (November 5, 2021): 8311–30. http://dx.doi.org/10.1088/1361-6544/ac3145.

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Abstract The inviscid 2D Boussinesq system with thermal diffusivity and multiplicative noise of transport type is studied in the L 2-setting. It is shown that, under a suitable scaling of the noise, weak solutions to the stochastic 2D Boussinesq equations converge weakly to the unique solution of the deterministic viscous Boussinesq system. Consequently, the transport noise asymptotically regularises the inviscid 2D Boussinesq system and enhances dissipation in the limit.

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Song, Changming, Jina Li, and Ran Gao. "Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation." Journal of Applied Mathematics 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/928148.

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We are concerned with the singularly perturbed Boussinesq-type equation including the singularly perturbed sixth-order Boussinesq equation, which describes the bidirectional propagation of small amplitude and long capillary-gravity waves on the surface of shallow water for bond number (surface tension parameter) less than but very close to 1/3. The nonexistence of global solution to the initial boundary value problem for the singularly perturbed Boussinesq-type equation is discussed and two examples are given.

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Taskesen, Hatice, Necat Polat, and Abdulkadir Ertaş. "On Global Solutions for the Cauchy Problem of a Boussinesq-Type Equation." Abstract and Applied Analysis 2012 (2012): 1–10. http://dx.doi.org/10.1155/2012/535031.

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We will give conditions which will guarantee the existence of global weak solutions of the Boussinesq-type equation with power-type nonlinearity and supercritical initial energy. By defining new functionals and using potential well method, we readdressed the initial value problem of the Boussinesq-type equation for the supercritical initial energy case.

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Dissertations / Theses on the topic "Boussinesq-Type"

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Yao, Yao. "Boussinesq-type modelling of gently shoaling extreme ocean waves." Thesis, University of Oxford, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.443009.

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Li, Shenghao. "Non-homogeneous Boundary Value Problems for Boussinesq-type Equations." University of Cincinnati / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1468512590.

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Lin, Qun. "The well-posedness and solutions of Boussinesq-type equations." Thesis, Curtin University, 2009. http://hdl.handle.net/20.500.11937/2247.

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We develop well-posedness theory and analytical and numerical solution techniques for Boussinesq-type equations. Firstly, we consider the Cauchy problem for a generalized Boussinesq equation. We show that under suitable conditions, a global solution for this problem exists. In addition, we derive sufficient conditions for solution blow-up in finite time.Secondly, a generalized Jacobi/exponential expansion method for finding exact solutions of non-linear partial differential equations is discussed. We use the proposed expansion method to construct many new, previously undiscovered exact solutions for the Boussinesq and modified Korteweg-de Vries equations. We also apply it to the shallow water long wave approximate equations. New solutions are deduced for this system of partial differential equations.Finally, we develop and validate a numerical procedure for solving a class of initial boundary value problems for the improved Boussinesq equation. The finite element method with linear B-spline basis functions is used to discretize the equation in space and derive a second order system involving only ordinary derivatives. It is shown that the coefficient matrix for the second order term in this system is invertible. Consequently, for the first time, the initial boundary value problem can be reduced to an explicit initial value problem, which can be solved using many accurate numerical methods. Various examples are presented to validate this technique and demonstrate its capacity to simulate wave splitting, wave interaction and blow-up behavior.

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Lin, Qun. "The well-posedness and solutions of Boussinesq-type equations." Curtin University of Technology, Department of Mathematics and Statistics, 2009. http://espace.library.curtin.edu.au:80/R/?func=dbin-jump-full&object_id=129030.

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We develop well-posedness theory and analytical and numerical solution techniques for Boussinesq-type equations. Firstly, we consider the Cauchy problem for a generalized Boussinesq equation. We show that under suitable conditions, a global solution for this problem exists. In addition, we derive sufficient conditions for solution blow-up in finite time.
Secondly, a generalized Jacobi/exponential expansion method for finding exact solutions of non-linear partial differential equations is discussed. We use the proposed expansion method to construct many new, previously undiscovered exact solutions for the Boussinesq and modified Korteweg-de Vries equations. We also apply it to the shallow water long wave approximate equations. New solutions are deduced for this system of partial differential equations.
Finally, we develop and validate a numerical procedure for solving a class of initial boundary value problems for the improved Boussinesq equation. The finite element method with linear B-spline basis functions is used to discretize the equation in space and derive a second order system involving only ordinary derivatives. It is shown that the coefficient matrix for the second order term in this system is invertible. Consequently, for the first time, the initial boundary value problem can be reduced to an explicit initial value problem, which can be solved using many accurate numerical methods. Various examples are presented to validate this technique and demonstrate its capacity to simulate wave splitting, wave interaction and blow-up behavior.

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Weston, Benjamin. "A Godunov-type Boussinesq model of extreme wave runup and overtopping." Thesis, University of Oxford, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.403773.

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Tatlock, Benjamin. "A hybrid finite-volume finite-difference rotational Boussinesq-type model of surf-zone hydrodynamics." Thesis, University of Nottingham, 2015. http://eprints.nottingham.ac.uk/30443/.

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An investigation into the numerical and physical behaviour of a hybrid finite-volume finite-difference Boussinesq-type model, using a rotational surface roller approach in the surf-zone is presented. The relevant theory for the required development of a numerical model implementing this technique is outlined. The proposed method looks to achieve a more physically realistic description of the hydrodynamics by considering the rotational nature of the highly turbulent flow found during wave breaking. This involves a semi-analytical solution to the vorticity transport equation and provides a mechanism by which energy is dissipated. Resolving vorticity within the flow also allows vertical profiles of the horizontal velocity to be constructed, offering valuable detail that is otherwise unavailable when using equivalent irrotational Boussinesq-type models. By obtaining additional information about the structure of the flow, other quantities can be determined, such as the undertow, which has a key role in morphodynamic processes occurring in this region. These benefits are combined with a finite-volume finite-difference scheme, which yields improvements in stability and possesses inherent shock-capturing capabilities. The ability of the model to replicate laboratory observations is verified, and identified shortcomings are explained in the context of the numerical procedure and the assumptions made during the derivation of the governing equations. Although the weak nonlinearity of the Boussinesq-type equations means the shoaling characteristics of the model do not accurately reflect those found experimentally, the adopted formulation of the finite-volume scheme is shown to prevent the inclusion of the necessary higher-order derivatives which exist in a fully-nonlinear formulation. In order to establish a realistic dissipation mechanism, it is vital that the extent of any misleading numerical artefacts are recognised and their effects alleviated. This study explores a range of physical attributes predicted by the present model and discusses the numerical features of the scheme, evaluating how these influence the results.

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Galaz, mora José. "Coupling methodes of phase-resolving coastal wave models." Electronic Thesis or Diss., Université de Montpellier (2022-....), 2024. https://ged.scdi-montpellier.fr/florabium45/jsp/nnt.jsp?nnt=2024UMONS026.

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Cette thèse s'intéresse au couplage de modèles hydrauliques en zone côtière, à phase résolue, couramment utilisés pour l'étude de la propagation des vagues près du rivage. Malgré de nombreux modèles et des exemples de couplage existants, il y a eu un manque significatif de consensus concernant les artefacts et les problèmes induits par ces stratégies, ainsi qu'une compréhension vague de la façon de les analyser et de les comparer. Pour aborder ce problème, cette recherche adopte une approche de décomposition de domaine, ancrée dans le principe que les modèles de vagues 3D (par exemple, Euler ou Navier-Stokes) servent de solution de référence.Structurée en deux parties, la thèse propose d'abord de nouveaux modèles et les évalue à travers des expériences numériques, identifiant des hypothèses spécifiques sur leur précision et leurs limites. Par la suite, un cadre théorique est développé pour élucider ces découvertes, en utilisant le modèle couplé unidirectionnel comme une référence intermédiaire pour distinguer les effets attendus et inattendus et catégoriser les erreurs par rapport à la solution 3D.L'erreur totale est divisée en trois parties : l'erreur de couplage, l'erreur du modèle de Cauchy, et l'erreur du modèle de demi-droite, et ces concepts sont appliqués au couplage linéaire des modèles de Saint-Venant et de Boussinesq en utilisant le modèle dit 'hybride'. L'analyse confirme que l'erreur de couplage prend en compte les réflexions aux interfaces et varie selon la direction de la propagation. De plus, grâce au choix du modèle unidirectionnel comme référence intermédiaire, cette analyse prouve plusieurs propriétés importantes telles que le caractère bien posé et la taille asymptotique des réflexions. En outre, la thèse aborde également le caractère faiblement bien posé du problème de Cauchy pour le modèle B et ses implications pour les solutions dépendantes du maillage qui ont été signalées. Comme produit dérivé, un nouveau résultat pour le problème de demi-droite du modèle linéaire B est obtenu, pour une classe plus générale de données aux limites, incluant une description de la couche limite dispersive, qui n'avait pas encore été abordée dans la littérature.La définition pragmatique proposée de l'erreur de couplage s'aligne avec et étend les notions existantes de la littérature. Elle peut être facilement appliquée à d'autres modèles BT, équations discrètes, cas linéaires et non linéaires (au moins numériquement), ainsi qu'à d'autres techniques de couplage, tous discutés dans le travail en perspective
This thesis investigates the coupling of coastal phase-resolving water wave models, commonly employed in the study of nearshore wave propagation. Despite numerous models and the existing coupling examples, there has been a significant lack of consensus concerning the artifacts and issues induced by these strategies, as well as a vague understanding of how to analyze and compare them. To tackle this problem, this research adopts a domain decomposition approach, anchored in the principle that 3D water wave models (e.g., Euler or Navier-Stokes) serve as the ideal reference solution.Structured in two parts, the thesis first proposes new models and evaluates them through numerical experiments, identifying specific hypotheses about their accuracy and limitations. Subsequently, a theoretical framework is developed to prove these hypotheses mathematically, utilizing the one-way coupled model as an intermediate reference to distinguish between expected and unexpected effects and categorize errors relative to the 3D solution.The total error is split in three parts—coupling error, Cauchy-model error, and half-line-model error—and these concepts are applied to the linear coupling of Saint-Venant and Boussinesq models using the so called 'hybrid' model. The analysis confirms that the coupling error accounts for wave reflections at the interfaces, and varies with the direction of propagation. Moreover, thanks to the choice of the one-way model as the intermediate reference solution, this analysis proves several important properties such as the well-posedness and the asymptotic size of the reflections. Additionally, the thesis also addresses the weak-wellposedness of the Cauchy problem for the B model and its implications for mesh-dependent solutions that have been reported. As a byproduct, a new result for the half-line problem of the linear B model is obtained for a more general class of boundary data, including a description of the dispersive boundary layer, which had not been addressed in the literature yet.The proposed pragmatic definition of coupling error aligns with and extends existing notions from the literature. It can be readily applied to other BT models, discrete equations, linear and nonlinear cases (at least numerically), as well as other coupling techniques, all of which are discussed in the perspective work

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Atlas, Abdelghafour. "Analyse mathématique et numérique du comportement de solutions d'équations d'ondes hydrodynamiques : modèles de type Boussinesq et KdV." Amiens, 2006. http://www.theses.fr/2006AMIEA609.

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Souza, Diego Araújo de. "Controlabilidade para alguns modelos da mecânica dos fluidos." Universidade Federal da Paraíba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/8046.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
The aim of this thesis is to present some controllability results for some fluid mechanic models. More precisely, we will prove the existence of controls that steer the solution of our system from a prescribed initial state to a desired final state at a given positive time. The two first Chapters deal with the controllability of the Burgers-α and Leray-α models. The Leray-α model is a regularized variant of the Navier-Stokes system (α is a small positive parameter), that can also be viewed as a model for turbulent flows; the Burgers-α model can be viewed as a related toy model of Leray-α. We prove that the Leray-α and Burgers-α models are locally null controllable, with controls uniformly bounded in α. We also prove that, if the initial data are sufficiently small, the pair state-control (that steers the solution to zero) for the Leray-α system (resp. the Burgers-α system) converges as α → 0+ to a pair state-control(that steers the solution to zero) for the Navier-Stokes equations (resp. the Burgers equation). The third Chapter is devoted to the boundary controllability of inviscid incompressible fluids for which thermal effects are important. They will be modeled through the so called Boussinesq approximation. In the zero heat diffusion case, by adapting and extending some ideas from J.-M. Coron [14] and O. Glass [45], we establish the simultaneous global exact controllability of the velocity field and the temperature for 2D and 3D flows. When the heat diffusion coefficient is positive, we present some additional results concerning exact controllability for the velocity field and local null controllability of the temperature. In the last Chapter, we prove the local exact controllability to the trajectories for a coupled system of the Boussinesq kind, with a reduced number of controls. In the state system, the unknowns are: the velocity field and pressure of the fluid (y, p), the temperature θ and an additional variable c that can be viewed as the concentration of a contaminant solute. We prove several results, that essentially show that it is sufficient to act locally in space on the equations satisfied by θ and c.
O objetivo desta tese é apresentar alguns resultados controlabilidade para alguns modelos da mecânica dos fluidos. Mais precisamente, provaremos a existência de controles que conduzem a solução do nosso sistema de um estado inicial prescrito à um estado final desejado em um tempo positivo dado. Os dois primeiros Capítulos preocupam-se com a controlabilidade dos modelos de Burgers-α e Leray-α. O modelo de Leray-α é uma variante regularizada do sistema de Navier-Stokes (α é umparâmetro positivo pequeno), que pode também ser visto como um modelo de fluxos turbulentos; já o modelo Burgers-α pode ser visto como um modelo simplificado de Leray-α. Provamos que os modelos de Leray-α e Burgers-α são localmente controláveis a zero, com controles limitados uniformemente em α. Também provamos que, se os dados iniciais são suficientemente pequenos, o par estado-controle (que conduz a solução a zero) para o sistema de Leray-α (resp. para o sistema de Burgers-α) converge quando α → 0+ a um par estado-controle (que conduz a solução a zero) para as equações de Navier-Stokes (resp. para a equação de Burgers). O terceiro Capítulo é dedicado à controlabilidade de fluidos incompressíveis invíscidos nos quais os efeitos térmicos são importantes. Estes fluidos são modelados através da então chamada Aproximação de Boussinesq. No caso emque não há difusão de calor, adaptando e estendendo algumas idéias de J.-M. Coron [14] e O. Glass [45], estabelecemos a controlabilidade exata global simultaneamente do campo velocidade e da temperatura para fluxos em 2D e 3D. Quando o coeficiente de difusão do calor é positivo, apresentamos alguns resultados sobre a controlabilidade exata global para o campo velocidade e controlabilidade nula local para a temperatura. No último Capítulo, provamos a controlabilidade exata local à trajetórias de um sistema acoplado do tipo Boussinesq, com um número reduzido de controles. Nesse sistema, as incógnitas são: o campo velocidade e a pressão do fluido (y, p), a temperatura θ e uma variável adicional c que pode ser vista como a concentração de um soluto contaminante. Provamos vários resultados, que essencialmente mostram que é suficiente atuar localmente no espaço sobre as equações satisfeitas por θ e c.

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Varing, Audrey. "Wave characterization for coastal and nearshore marine renewable energy applications : focus on wave breaking and spatial varaibility of the wave field." Thesis, Brest, 2019. http://www.theses.fr/2019BRES0105.

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Les énergies marines renouvelables (EMR) sont soumises aux vagues générées par le vent. Une caractérisation précise de ces vagues est nécessaire dans les zones côtières et littorales où les vagues interagissent fortement avec le fond, générant de la réfraction et du déferlement parmi d’autres processus.Une étude approfondie sur l’initiation du déferlement est développée. La validité du critère de déferlement conventionnel uc/c (rapport entre la vitesse orbitale horizontale à la crête et la vitesse de phase) est examinée numériquement. Cette étude nous mène à définir un nouveau critère cinématique basé sur le rapport entre la vitesse orbitale maximale ||um|| et c. Ce nouveau critère améliore la détection de l’initiation du déferlement, car la position d’où s’initie l’instabilité conduisant au déferlement est mieux capturée à partir de ||um||. La variabilité spatiale du champ de vagues en zone côtière est majoritairement étudiée à partir de modèles spectraux. La capacité d’un modèle à phase-résolue (type Boussinesq BT) à fournir des informations complémentaires pour les EMR est étudiée. Les modèles spectraux et BT produisent des résultats très différents en termes de hauteur de vagues et de puissance en présence d’une forte réfraction causée par la variabilité de la bathymétrie. On définit une méthode innovante pour extraire des informations liées aux vagues à partir d’images satellites, issues d’un radar à synthèse d’ouverture (SAR), et les comparer aux sorties des modèles. Nos résultats montrent des similitudes encourageantes entre le modèle BT et les données SAR
Since Marine Renewable Energy (MRE) systems are submitted to wind generated waves. Accurate wave characterization is required in the coastal and nearshore environment where the waves are strongly modified by their interaction with the sea bottom, inducing refraction and wave breaking among other processes.A comprehensive study regarding the wave breaking initiation process is developed. The conventional kinematic criterion uc/c (ratio between the horizontal orbital velocity at the crest and the phase velocity) validity is numerically investigated. Our study leads us to a new kinematic wave breaking criterion based on the ratio between the maximum fluid velocity ||um|| near the wave crest and c. This new criterion improves the detection of the breaking initiation, since ||um|| accurately captures the location of the fluid instability leading to breaking.The wave field spatial variability in coastal areas is mostly studied with spectral wave models. We explore the ability of a phase-resolving model (Boussinesq-type, BT) to provide additional wave information for MRE applications.Spectral and BT models lead to significantly different spatial wave height and power patterns in the presence of strong bottom-induced refraction. We define an innovative methodology to extract wave information from satellite Synthetic Aperture Radar (SAR) images for comparison with models’ outputs. Our results highlight encouraging similarities between the BT model and SAR data

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Book chapters on the topic "Boussinesq-Type"

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Hietarinta, Jarmo, and Da-jun Zhang. "Discrete Boussinesq-type equations." In Nonlinear Systems and Their Remarkable Mathematical Structures, 54–101. Boca Raton: Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003087670-3.

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Clarkson, Peter A. "New Similarity Reductions of Boussinesq-Type Equations." In Partially Intergrable Evolution Equations in Physics, 575–76. Dordrecht: Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-0591-7_24.

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Prüser, H. H., and W. Zielke. "Simulation of Wave-spectra with Boussinesq-type Wave Equations." In Nonlinear Water Waves, 349–56. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-83331-1_38.

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Eskilsson, Claes, and Allan P. Engsig-Karup. "On Devising Boussinesq-Type Equations with Bounded Eigenspectra: Two Horizontal Dimensions." In Mathematics in Industry, 553–60. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-23413-7_77.

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Dawson, Clint, and Ali Samii. "A Review of Nonlinear Boussinesq-Type Models for Coastal Ocean Modeling." In Mathematics of Planet Earth, 45–71. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-09559-7_3.

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Mogorosi, Tshepo Edward, Ben Muatjetjeja, and Chaudry Masood Khalique. "Conservation Laws for a Generalized Coupled Boussinesq System of KdV–KdV Type." In Springer Proceedings in Mathematics & Statistics, 315–21. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12307-3_45.

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Delis, A. I., and M. Kazolea. "Advanced Numerical Simulation of Near-Shore Processes by Extended Boussinesq-Type Models on Unstructured Meshes." In Mathematics in Industry, 543–51. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-23413-7_76.

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Saha Ray, Santanu. "New Exact Traveling Wave Solutions of the Coupled Schrödinger–Boussinesq Equations and Tzitzéica-Type Evolution Equations." In Nonlinear Differential Equations in Physics, 199–229. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-15-1656-6_6.

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"Boussinesq-type models for uneven bottoms." In Advanced Series on Ocean Engineering, 473–688. World Scientific Publishing Company, 1997. http://dx.doi.org/10.1142/9789812796042_0005.

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Borthwick, Alistair, Alison Hunt, Paul Taylor, and Benjamin Weston. "Godunov-type Boussinesq modeling of extreme wave run-up." In Shallow Flows, 615–22. Taylor & Francis, 2004. http://dx.doi.org/10.1201/9780203027325.ch77.

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Conference papers on the topic "Boussinesq-Type"

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Kennedy, Andrew B., James T. Kirby, and Mauricio F. Gobbi. "Improved Performance in Boussinesq-Type Equations." In 27th International Conference on Coastal Engineering (ICCE). Reston, VA: American Society of Civil Engineers, 2001. http://dx.doi.org/10.1061/40549(276)53.

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Gobbi, Maurício F., and James T. Kirby. "A Fourth Order Boussinesq-Type Wave Model." In 25th International Conference on Coastal Engineering. New York, NY: American Society of Civil Engineers, 1997. http://dx.doi.org/10.1061/9780784402429.087.

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Sánchez-Bernabe, Francisco J. "Boussinesq type equations and some analytical solutions." In 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0162818.

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Diaconescu, Emanuel, and Marilena Glovnea. "A Boussinesq Type Problem for the Elastic Layer." In STLE/ASME 2008 International Joint Tribology Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/ijtc2008-71265.

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This paper derives an analytical solution to the Boussinesq problem for the elastic layer. This is found by adding supplementary displacements to half-space displacements. The corresponding integral interference condition is established and this is useful for solving elastic layer contacts.

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KIM, GUNWOO, and CHANGHOON LEE. "NWOGU-TYPE BOUSSINESQ EQUATIONS FOR RAPIDLY VARYING TOPOGRAPHY." In Proceedings of the 5th International Conference on APAC 2009. World Scientific Publishing Company, 2009. http://dx.doi.org/10.1142/9789814287951_0118.

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Sørensen, Ole R., Per A. Madsen, and Hemming A. Schäffer. "Nearshore Wave Dynamics Simulated by Boussinesq Type Models." In 26th International Conference on Coastal Engineering. Reston, VA: American Society of Civil Engineers, 1999. http://dx.doi.org/10.1061/9780784404119.019.

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So/rensen, Ole René, and Lars Steen So/rensen. "Boussinesq Type Modelling Using Unstructured Finite Element Technique." In 27th International Conference on Coastal Engineering (ICCE). Reston, VA: American Society of Civil Engineers, 2001. http://dx.doi.org/10.1061/40549(276)15.

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Schaper, H., and W. Zielke. "A Numerical Solution of Boussinesq Type Wave Equations." In 19th International Conference on Coastal Engineering. New York, NY: American Society of Civil Engineers, 1985. http://dx.doi.org/10.1061/9780872624382.073.

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Popivanov, Petar. "Travelling Waves for Some Generalized Boussinesq Type Equations." In INTERNATIONAL WORKSHOP ON COMPLEX STRUCTURES, INTEGRABILITY AND VECTOR FIELDS. AIP, 2011. http://dx.doi.org/10.1063/1.3567131.

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LYNETT, P., P. L. F. LIU, and H. H. HWUNG. "A MULTI-LAYER APPROACH TO BOUSSINESQ-TYPE MODELING." In Proceedings of the 29th International Conference. World Scientific Publishing Company, 2005. http://dx.doi.org/10.1142/9789812701916_0005.

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Reports on the topic "Boussinesq-Type"

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Gobbi, Mauricio F., and James T. Kirby. A New Boussinesq-Type Model for Surface Water Wave Propagation. Fort Belvoir, VA: Defense Technical Information Center, January 1998. http://dx.doi.org/10.21236/ada344641.

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Malej, Matt, Fengyan Shi, Nigel Tozer, Jane Smith, Emma Lofthouse, Giovanni Cuomo, Gabriela Salgado-Dominguez, Michael-Angelo Lam, and Marissa Torres. FUNWAVE-TVD testbed : analytical, laboratory, and field cases for validation and verification of the phase-resolving nearshore Boussinesq-type numerical wave model. Engineer Research and Development Center (U.S.), August 2024. http://dx.doi.org/10.21079/11681/49183.

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Over the last couple of decades, advancements in high-performance computing have allowed phase-resolving, Boussinesq-type numerical wave models to be more practical in addressing nearshore coastal wave processes. As such, the open-source Fully Nonlinear Wave model–Total Variation Diminishing (FUNWAVE-TVD) numerical wave model has become more ubiquitous across all scientific and engineering-focused R&D organizations, including academic, government, and industry partners. In collaboration with the US Army Engineer Research and Development Center, Coastal and Hydraulics Laboratory; the University of Delaware; and HR Wallingford, a robust testbed has been developed to allow users to benchmark their applications against new releases of the model. The testbed presented here includes analytical, laboratory, and field cases, to provide guidance on the operational utility of FUNWAVE-TVD and examines numerical convergence, accuracy, and performance in modeling wave generation, propagation, wave breaking, and moving shorelines in nearshore wind-wave applications. A brief discussion on the efficiency of the model across parallel computing platforms is also provided.

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Ervin, Kelly, Karl Smink, Bryan Vu, and Jonathan Boone. Ship Simulator of the Future in virtual reality. Engineer Research and Development Center (U.S.), September 2022. http://dx.doi.org/10.21079/11681/45502.

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The Army’s modernization priorities include the development of augmented reality and virtual reality (AR/VR) simulations for enabling the regiment and increasing soldier readiness. The use of AR/VR technology at the U.S. Army Engineer Research and Development Center (ERDC) is also growing in the realm of military and civil works program missions. The ERDC Coastal and Hydraulics Laboratory (CHL) has developed a ship simulator to evaluate bay channels across the world; however, the current simulator has little to no physical realism in nearshore coastal regions (Figure 1). Thus, the ERDC team is researching opportunities to advance ship simulation to deliver the Ship Simulator of the Future (SSoF). The SSoF will be equipped with a VR mode and will more accurately resolve nearshore wave phenomena by ingesting precalculated output from a Boussinesq-type wave model. This initial prototype of the SSoF application is intended for research and development purposes; however, the technologies employed will be applicable to other disciplines and project scopes, including the Synthetic Training Environment (STE) and ship and coastal structure design in future versions.

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Malej, Matt, and Fengyan Shi. Suppressing the pressure-source instability in modeling deep-draft vessels with low under-keel clearance in FUNWAVE-TVD. Engineer Research and Development Center (U.S.), May 2021. http://dx.doi.org/10.21079/11681/40639.

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This Coastal and Hydraulics Engineering Technical Note (CHETN) documents the development through verification and validation of three instability-suppressing mechanisms in FUNWAVE-TVD, a Boussinesq-type numerical wave model, when modeling deep-draft vessels with a low under-keel clearance (UKC). Many large commercial ports and channels (e.g., Houston Ship Channel, Galveston, US Army Corps of Engineers [USACE]) are traveled and affected by tens of thousands of commercial vessel passages per year. In a series of recent projects undertaken for the Galveston District (USACE), it was discovered that when deep-draft vessels are modeled using pressure-source mechanisms, they can suffer from model instabilities when low UKC is employed (e.g., vessel draft of 12 m¹ in a channel of 15 m or less of depth), rendering a simulation unstable and obsolete. As an increasingly large number of deep-draft vessels are put into service, this problem is becoming more severe. This presents an operational challenge when modeling large container-type vessels in busy shipping channels, as these often will come as close as 1 m to the bottom of the channel, or even touch the bottom. This behavior would subsequently exhibit a numerical discontinuity in a given model and could severely limit the sample size of modeled vessels. This CHETN outlines a robust approach to suppressing such instability without compromising the integrity of the far-field vessel wave/wake solution. The three methods developed in this study aim to suppress high-frequency spikes generated nearfield of a vessel. They are a shock-capturing method, a friction method, and a viscosity method, respectively. The tests show that the combined shock-capturing and friction method is the most effective method to suppress the local high-frequency noises, while not affecting the far-field solution. A strong test, in which the target draft is larger than the channel depth, shows that there are no high-frequency noises generated in the case of ship squat as long as the shock-capturing method is used.

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Torres, Marissa, Michael-Angelo Lam, and Matt Malej. Practical guidance for numerical modeling in FUNWAVE-TVD. Engineer Research and Development Center (U.S.), October 2022. http://dx.doi.org/10.21079/11681/45641.

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This technical note describes the physical and numerical considerations for developing an idealized numerical wave-structure interaction modeling study using the fully nonlinear, phase-resolving Boussinesq-type wave model, FUNWAVE-TVD (Shi et al. 2012). The focus of the study is on the range of validity of input wave characteristics and the appropriate numerical domain properties when inserting partially submerged, impermeable (i.e., fully reflective) coastal structures in the domain. These structures include typical designs for breakwaters, groins, jetties, dikes, and levees. In addition to presenting general numerical modeling best practices for FUNWAVE-TVD, the influence of nonlinear wave-wave interactions on regular wave propagation in the numerical domain is discussed. The scope of coastal structures considered in this document is restricted to a single partially submerged, impermeable breakwater, but the setup and the results can be extended to other similar structures without a loss of generality. The intended audience for these materials is novice to intermediate users of the FUNWAVE-TVD wave model, specifically those seeking to implement coastal structures in a numerical domain or to investigate basic wave-structure interaction responses in a surrogate model prior to considering a full-fledged 3-D Navier-Stokes Computational Fluid Dynamics (CFD) model. From this document, users will gain a fundamental understanding of practical modeling guidelines that will flatten the learning curve of the model and enhance the final product of a wave modeling study. Providing coastal planners and engineers with ease of model access and usability guidance will facilitate rapid screening of design alternatives for efficient and effective decision-making under environmental uncertainty.

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