Academic literature on the topic 'Numerical Structure'

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Journal articles on the topic "Numerical Structure"

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Nakaza, Eizo, Tsunakiyo Iribe, and Muhammad Abdur Rouf. "NUMERICAL SIMULATION OF TSUNAMI CURRENTS." Coastal Engineering Proceedings 1, no. 32 (2011): 6. http://dx.doi.org/10.9753/icce.v32.currents.6.

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The paper aims to simulate Tsunami currents around moving and fixed structures using the moving-particle semi-implicit method. An open channel with four different sets of structures is employed in the numerical model. The simulation results for the case with one structure indicate that the flow around the moving structure is faster than that around the fixed structure. The flow becomes more complex for cases with additional structures.
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Vasiljević, Rade. "Comparison of the continuous model and the finite element model of the gantry crane carrying structure for modal analysis." Vojnotehnicki glasnik 70, no. 3 (2022): 696–719. http://dx.doi.org/10.5937/vojtehg70-36051.

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Introduction/purpose: To study the adequacy of applying numerical methods in the modal analysis of complex carrying structures of cranes. Methods: Comparative application of the analytical method and the numerical method - FEM. Results: Some comparative values of the modal parameters were obtained both analytically and numerically for the derived solution of a gantry crane carrying structure. Conclusion: It is shown that the numerical method can give a reliable general quality estimate of the structural behaviour of a complex carrying structure from the aspect of modal analysis.
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RADULESCU, MATEI I., GARY J. SHARPE, CHUNG K. LAW, and JOHN H. S. LEE. "The hydrodynamic structure of unstable cellular detonations." Journal of Fluid Mechanics 580 (May 21, 2007): 31–81. http://dx.doi.org/10.1017/s0022112007005046.

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The study analyses the cellular reaction zone structure of unstable methane–oxygen detonations, which are characterized by large hydrodynamic fluctuations and unreacted pockets with a fine structure. Complementary series of experiments and numerical simulations are presented, which illustrate the important role of hydrodynamic instabilities and diffusive phenomena in dictating the global reaction rate in detonations. The quantitative comparison between experiment and numerics also permits identification of the current limitations of numerical simulations in capturing these effects. Simulations
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Lin, Gang, Yinghe Xie, Qihao Zhong, Wei Zeng, Zhenliang Chen, and Xi Zhang. "Numerical Investigation of Piezoelectric Vibration Energy Harvesting with L-shaped Beam." Journal of Physics: Conference Series 2433, no. 1 (2023): 012027. http://dx.doi.org/10.1088/1742-6596/2433/1/012027.

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Abstract Energy harvesting efficiency is a crucial problem in practical engineering applications of piezoelectric vibration energy harvester. L-shaped piezoelectric vibration energy harvester has the potential of broadband and high energy harvesting efficiency. Different vibration energy harvesting structures are numerically investigated here to compare their energy harvesting efficiencies, including traditional cantilever beam structure and L-shaped structures. Verification and validation of the numerical simulation approach adopted here are conducted firstly, through comparing the numerical
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Formentin, Sara Mizar, Giuseppina Palma, Pasquale Contestabile, Diego Vicinanza, and Barbara Zanuttigh. "2DV RANS-VOF NUMERICAL MODELING OF A MULTI-FUNCTIONAL HARBOUR STRUCTURE." Coastal Engineering Proceedings, no. 35 (June 23, 2017): 3. http://dx.doi.org/10.9753/icce.v35.structures.3.

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This paper is focused on the analysis of a multifunctional structure developed by the Second University of Naples, named OBREC, which is an Overtopping Breakwater for Energy Conversion. The hydraulic and structural performance are evaluated by means of the 2DV numerical model IH-2VOF developed by the University of Cantabria, in terms of average discharge rate, wave reflection coefficient and pressures acting on the structure. The results are compared with the laboratory experiments carried out at Aalborg University (Denmark) and with recent formulae and a new Artificial Neural Network. Further
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Song, Jixiang, Weimin Chen, Dingbang Yan, and Shuangxi Guo. "Study on drag reduction of flexible structure under flows." E3S Web of Conferences 245 (2021): 01019. http://dx.doi.org/10.1051/e3sconf/202124501019.

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Flexible structures are common in nature and engineering. Under the action of fluid, the flexible structure bends to reduce drag. The study of this phenomenon has important scientific and engineering significance, so this article conducts research. Firstly, the differential equations are established, then solved by numerical methods, and finally numerically simulated.
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Ruminek, Przemysław, and Piotr Żach. "POLYMERS FOAM STRUCTURE NUMERICAL IDENTIFICATION." Journal of KONES. Powertrain and Transport 21, no. 3 (2014): 259–63. http://dx.doi.org/10.5604/12314005.1133226.

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Sadek, Marwan, Fadi Hage Chehade, Bassem Ali, and Ahmed Arab. "Seismic Soil Structure interaction for Shear wall structures." MATEC Web of Conferences 281 (2019): 02006. http://dx.doi.org/10.1051/matecconf/201928102006.

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For soft soil subjected to earthquake loading, the soil non linearity could significantly amplify the ground motion. This paper presents a 3D numerical study on the influence of soil non linearity on the seismic soil structure interaction for shear wall structures. Numerical simulations are conducted for both elastic and elastoplastic behaviour for the soil. Real ground motions records are used in the study. The analysis is focused on the seismic induced response of the soil and the structure in terms of displacement and velocity. The results show that considering elastic model for the soil be
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Valente, Marco. "Seismic Rehabilitation of a Three-Storey R/C Flat-Slab Prototype Structure Using Different Techniques." Applied Mechanics and Materials 193-194 (August 2012): 1346–51. http://dx.doi.org/10.4028/www.scientific.net/amm.193-194.1346.

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This paper presents some results of a numerical study on the seismic performance and retrofitting of a R/C flat-slab prototype structure. The study was based on an experimental program carried out at the JRC ELSA Laboratory with the aim of assessing the seismic behaviour of flat-slab structures. Numerical models of the test structure were developed and nonlinear static and dynamic analyses were carried out. Two seismic retrofit techniques were numerically simulated to enhance the seismic performance of the structure. First the structure was rehabilitated by concrete jacketing of columns with a
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Wang, Shu Hong, Yong Bin Zhang, Chun An Tang, and Lian Chong Li. "Numerical Study on Cracking Process of Masonry Structure." Advanced Materials Research 9 (September 2005): 117–26. http://dx.doi.org/10.4028/www.scientific.net/amr.9.117.

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Masonry structure is heterogeneous and has been widely used in building and construction engineering. The study on cracking pattern of masonry structure is significant to engineering design. Many previous investigations on the failure process of masonry structure are usually based on the homogenization technique by selecting a typical unit of masonry to serve as a representative volume. This kind of numerical analysis neglects the mesoscopic heterogeneous structure, which cannot capture the full cracking process of masonry structures. The cracking process of masonry structure is dominantly aff
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Dissertations / Theses on the topic "Numerical Structure"

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Balendra, Surendran. "Numerical modeling of dynamic soil-pile-structure interaction." Online access for everyone, 2005. http://www.dissertations.wsu.edu/Thesis/Fall2005/s%5Fbalendra%5F120705.pdf.

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Mullaert, Jimmy. "Numerical methods for incompressible fluid-structure interaction." Thesis, Paris 6, 2014. http://www.theses.fr/2014PA066683/document.

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Cette thèse présente une famille de schémas explicites pour la résolution d'un problème couplé d'interaction entre un fluide visqueux incompressible et une structure élastique (avec possiblement un comportement visco-élastique et/ou non linéaire). La principale propriété de ces schémas est une condition de Robin consistante à l'interface, qui représente une caractéristique fondamentale du problème continu dans le cas où la structure est mince. Si le couplage s'effectue avec une structure épaisse, une condition de Robin généralisée peut être formulée pour le problème semi-discret en espace, à l
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Dewsbury, Jonathan J. "Numerical modelling of soil-pile-structure interaction." Thesis, University of Southampton, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.582152.

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Soil-pile-structure interaction analysis is the simultaneous consideration of the structural frame, pile foundations, and the soil forming the founding material. Failure to consider soil-pile-structure interaction in design will lead to a poor prediction of load distribution within the structure. A poor prediction of load distribution will cause the structure to deform under loads that have not been calculated for. This may result in the structure cracking or the overstressing of columns. If the actual load distribution significantly differs from that designed for, the factor of safety on stru
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Siddorn, Philip David. "Efficient numerical modelling of wave-structure interaction." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:de36bd2f-cd23-4f11-b67f-9d8cd48ecd3c.

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Offshore structures are required to survive in extreme wave environments. Historically, the design of these offshore structures and vessels has relied on wave-tank experiments and linear theory. Today, with advances in computing power, it is becoming feasible to supplement these methods of analysis with fully nonlinear numerical simulation. This thesis is concerned with the development of an efficient method to perform this numerical modelling, in the context of potential flow theory. The interaction of a steep ocean wave with a floating body involves a moving free surface and a wide range of
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Sharma, Harsh Apurva. "Structure-preserving Numerical Methods for Engineering Applications." Diss., Virginia Tech, 2020. http://hdl.handle.net/10919/99912.

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This dissertation develops a variety of structure-preserving algorithms for mechanical systems with external forcing and also extends those methods to systems that evolve on non-Euclidean manifolds. The dissertation is focused on numerical schemes derived from variational principles – schemes that are general enough to apply to a large class of engineering problems. A theoretical framework that encapsulates variational integration for mechanical systems with external forcing and time-dependence and which supports the extension of these methods to systems that evolve on non-Euclidean manifolds
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Nielsen, Isak. "Structure-Exploiting Numerical Algorithms for Optimal Control." Doctoral thesis, Linköpings universitet, Reglerteknik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-136559.

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Numerical algorithms for efficiently solving optimal control problems are important for commonly used advanced control strategies, such as model predictive control (MPC), but can also be useful for advanced estimation techniques, such as moving horizon estimation (MHE). In MPC, the control input is computed by solving a constrained finite-time optimal control (CFTOC) problem on-line, and in MHE the estimated states are obtained by solving an optimization problem that often can be formulated as a CFTOC problem. Common types of optimization methods for solving CFTOC problems are interior-point (
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GOZ, DAVID. "Numerical simulations of galaxies in cosmological volumes." Doctoral thesis, Università degli Studi di Trieste, 2016. http://hdl.handle.net/11368/2908076.

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Modelling galaxy formation in a cosmological context is challenging due to many physical processes and a wide range of scales involved. It is then convenient to address the problem by means of numerical techniques. Cosmological simulations are still orders of magnitude away from capturing directly the spatial scales where stars actually form. The treatment of the interstellar medium, with multiple gas phases co-existing at very different densities and temperatures, needs to be included in simulations in the form of sub-resolution effective models. In Murante et al. (2015), cosmological simulat
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Gürtner, Arne. "Experimental and Numerical Investigations of Ice-Structure Interaction." Doctoral thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for bygg, anlegg og transport, 2009. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-5320.

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Ice interacting with offshore structures is of major engineering concern in areas where human activities and (seasonal) sea ice coexist. This thesis deals with experimental as well as numerical investigations of (level) ice-structure interaction and the typical processes associated with it.   Ice barriers, for the purpose of protecting offshore drilling units and production structures in shallow ice infested waters, have been investigated. This thesis discusses the applicability of two different concepts; (i) Ice Protection Piles (IPPs) and (ii) Shoulder Ice Barrier (SIB). Model tests on IPPs
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Roberts, Patricia Isobel. "An investigation into the structure of numerical cognition." Thesis, University of Bedfordshire, 2004. http://hdl.handle.net/10547/322172.

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This thesis reports work relating to theoretical frameworks in the area of numerical cognition that have been developed by McCloskey, Caramazza & Basili (1985), Clark & Campbell (1991), Dehaene (1992) and Noel & Seron (1992). The associations between numerical cognition and memory processes in relation to the working memory model of Baddeley (1986) were investigated. The first study used the factor analytic method to elucidate the factor structure of the processes that underlie numerical cognition, and to investigate the various components of the working memory model in relation to arithmetic.
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Williams, David Michael. "Numerical modelling of real-time sub-structure testing." Thesis, University of Oxford, 2000. http://ora.ox.ac.uk/objects/uuid:c2c9ff13-887f-4065-9ce6-1969375099c7.

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Current dynamic testing methods can prove unrealistic due to the scale at which test components are modelled, the rate at which they are loaded or the boundary conditions to which they are subjected. A new test method, termed "Real-Time Sub-Structure Testing" seeks to provide a more realistic testing environment for energy dissipative components. The method tests structural components at full or large scale and in real-time. The physical test interacts with a computer model of the structure surrounding the test component. In this way, the in-situ behaviour of the test component is evaluated in
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Books on the topic "Numerical Structure"

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M, Souli, and Benson D. J. 1955-, eds. ALE and fluid: Structure Interactions numerical simulation. ISTE, 2009.

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M, Souli, and Benson D. J. 1955-, eds. ALE and fluid: Structure Interactions numerical simulation. ISTE, 2009.

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W, Bull John, ed. Soil structure interaction: Numerical analysis and modelling. E & FN Spon, 1994.

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Wang, Qiuliang. Practical Design of Magnetostatic Structure Using Numerical Simulation. John Wiley & Sons (Asia) Pte Ltd, 2013. http://dx.doi.org/10.1002/9781118398159.

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L, Bulzan D., Agrawal S. K, and United States. National Aeronautics and Space Administration., eds. Structure of confined laminar spray diffusion flames/numerical investigation. National Aeronautics and Space Administration, 1993.

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Dłużewski, Janusz Maciej. Numerical modelling of soil-structure interactions in consolidation problems. Wydawnictwa Politechniki Warszawskiej, 1993.

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1959-, Lubich Christian, and Wanner Gerhard, eds. Geometric numerical integration: Structure-preserving algorithms for ordinary differential equations. 2nd ed. Springer, 2010.

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Migdałek, Jacek. Model-potential methods in atomic structure calculations. Nakł. Uniwersytetu Jagiellońskiego, 1990.

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E, Hairer, Lubich Christian 1959-, and Wanner Gerhard, eds. Geometric numerical integration: Structure-preserving algorithms for ordinary differential equations. Springer, 2002.

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Hairer, E. Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations. Springer Berlin Heidelberg, 2002.

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Book chapters on the topic "Numerical Structure"

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Rosales, J. C., and P. A. García-Sánchez. "The structure of a numerical semigroup." In Numerical Semigroups. Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-0160-6_11.

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Wahab, M. A. "Structure Factor Calculations." In Numerical Problems in Crystallography. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-9754-1_8.

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Shakoori, Abdul Rauf, Saira Aftab, and Farah Rauf Shakoori. "Numerical Changes in Chromosomes." In Chromosome Structure and Aberrations. Springer India, 2017. http://dx.doi.org/10.1007/978-81-322-3673-3_13.

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De Loore, C. W. H., and C. Doom. "Numerical Techniques." In Structure and Evolution of Single and Binary Stars. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-2502-4_8.

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Turek, Ilja, Václav Drchal, Josef Kudrnovský, Mojmír Šob, and Peter Weinberger. "Numerical Implementation." In Electronic Structure of Disordered Alloys, Surfaces and Interfaces. Springer US, 1997. http://dx.doi.org/10.1007/978-1-4615-6255-9_10.

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Matsuda, Takuya, Makoto Makita, Hiroshi Yukawa, and Henri M. J. Boffin. "Spiral Structure in IP PEG: Confronting Theory and Observations." In Numerical Astrophysics. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4780-4_64.

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Yokosawa, M., and S. Fukazawa. "General Relativistic Magnetohydrodynamic Structure Around a Rotating Black Hole." In Numerical Astrophysics. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4780-4_71.

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Higuera, Pablo. "Wave and Structure Interaction Porous Coastal Structures." In Advanced Numerical Modelling of Wave Structure Interactions. CRC Press, 2020. http://dx.doi.org/10.1201/9781351119542-6.

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Wahab, M. A. "Determination of Crystal Structure Parameters." In Numerical Problems in Crystallography. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-9754-1_9.

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Yonehara, Atsunori, Shin Mineshige, Tadahiro Manmoto, Jun Fukue, Masayuki Umemura, and Edwin L. Turner. "An X-Ray Microlensing Test of Au-Scale Quasar Disk Structure." In Numerical Astrophysics. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4780-4_29.

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Conference papers on the topic "Numerical Structure"

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Payne, M. C. "Structure and dynamics from first principles." In Neutrons and numerical methods. AIP, 1999. http://dx.doi.org/10.1063/1.59471.

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Stefanov, Yu P., R. A. Bakeev, A. S. Yudin, and N. S. Kuznetsova. "Numerical study of rock blasting." In ADVANCED MATERIALS WITH HIERARCHICAL STRUCTURE FOR NEW TECHNOLOGIES AND RELIABLE STRUCTURES. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4932910.

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Madsen, Georg K. H. "Structure and bonding in Cis-enol systems." In Neutrons and numerical methods. AIP, 1999. http://dx.doi.org/10.1063/1.59489.

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Boudjada, F., J. Meinnel, A. Cousson, W. Paulus, M. Mani, and M. Sanquer. "Tribromomesitylene structure at 14 K methyl conformation and tunneling." In Neutrons and numerical methods. AIP, 1999. http://dx.doi.org/10.1063/1.59469.

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Viccione, Giacomo, Vittorio Bovolin, and Eugenio Pugliese Carratelli. "Simulating fluid-structure interaction with SPH." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756099.

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Carvalho, Francisco, João T. Mexia, and Ricardo Covas. "Commutative orthogonal block structure: Orthogonal features." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756487.

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Bakica, Andro. "Numerical calculations for fluid-structure interaction." In Zajednički temelji 2023. - uniSTem : deseti skup mladih istraživača iz područja građevinarstva i srodnih tehničkih znanosti, Split, 14.-17. rujna, 2023. = Common Foundations 2023 - uniSTem : the tenth meeting of young researchers in the field of civil engineering and related technical sciences, 14-17 September 2023, Split. University of Split, Faculty of Civil Engineering, Architecture and Geodesy, 2023. http://dx.doi.org/10.31534/10.zt.2023.18.

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In this work, a numerical fluid-structure interaction model is briefly presented. Fundamental differences between their mathematical models require the development of a separate interface whose function is to connect the loads applied by the fluid flow and the stresses exhibited by the structure. This paper is focused on two main types of interactions: quasi-static (one-way) and dynamic (two-way). The quasi-static approach links the fluid pressure field, i.e. loading with the structural model, while the dynamic approach includes both the structural motions inside the fluid domain and the struc
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Kugler, S., K. Koháry, and I. László. "Microscopic structure of amorphous carbon. Tight-binding molecular dynamics study." In Neutrons and numerical methods. AIP, 1999. http://dx.doi.org/10.1063/1.59473.

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Jinbo, Wang, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "The Iterative Structure Analysis of Montgomery Modular Multiplication." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790134.

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Ng, Tang-Tat. "Numerical Simulations of a Deployable Structure." In 10th Biennial International Conference on Engineering, Construction, and Operations in Challenging Environments and Second NASA/ARO/ASCE Workshop on Granular Materials in Lunar and Martian Exploration. American Society of Civil Engineers, 2006. http://dx.doi.org/10.1061/40830(188)10.

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Reports on the topic "Numerical Structure"

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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.), 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 p
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Heath, Ronald, David May, James Leech, Gaurav Savant, and Phu Luong. Morganza Control Structure forebay : numerical hydraulic model investigation. Engineer Research and Development Center (U.S.), 2018. http://dx.doi.org/10.21079/11681/30303.

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Eldred, Christopher. Structure-preserving numerical discretizations for domains with boundaries. Office of Scientific and Technical Information (OSTI), 2021. http://dx.doi.org/10.2172/1820697.

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Zhu, Minjie, and Michael Scott. Two-Dimensional Debris-Fluid-Structure Interaction with the Particle Finite Element Method. Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, 2024. http://dx.doi.org/10.55461/gsfh8371.

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In addition to tsunami wave loading, tsunami-driven debris can cause significant damage to coastal infrastructure and critical bridge lifelines. Using numerical simulations to predict loads imparted by debris on structures is necessary to supplement the limited number of physical experiments of in-water debris loading. To supplement SPH-FEM (Smoothed Particle Hydrodynamics-Finite Element Method) simulations described in a companion PEER report, fluid-structure-debris simulations using the Particle Finite Element Method (PFEM) show the debris modeling capabilities in OpenSees. A new contact ele
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McAlpin, Tate, C. McKnight, Anthony Emiren, and Gary Brown. Comite diversion numerical model study. Engineer Research and Development Center (U.S.), 2024. http://dx.doi.org/10.21079/11681/49429.

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The Comite River diversion project is designed to reduce flooding along the Comite and Amite Rivers during flood events by diverting flow from the Comite River into the Mississippi River above Baton Rouge, Louisiana. The flow is diverted from the Comite River along a diversion canal to the Lilly Bayou Control structure. This structure allows the Comite River flow to enter the Mississippi River floodplain. A numerical model was created to evaluate the impacts associated with this addition of water to the Mississippi River. A 2D Adaptive Hydraulics numerical model was created to quantify the sys
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Ebeling, Robert, та Barry White. Load and resistance factors for earth retaining, reinforced concrete hydraulic structures based on a reliability index (β) derived from the Probability of Unsatisfactory Performance (PUP) : phase 2 study. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/39881.

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This technical report documents the second of a two-phase research and development (R&D) study in support of the development of a combined Load and Resistance Factor Design (LRFD) methodology that accommodates geotechnical as well as structural design limit states for design of the U.S. Army Corps of Engineers (USACE) reinforced concrete, hydraulic navigation structures. To this end, this R&D effort extends reliability procedures that have been developed for other non-USACE structural systems to encompass USACE hydraulic structures. Many of these reinforced concrete, hydraulic structur
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Jellinek, J., and Z. B. Guevenc. Structure, melting, and reactivity of nickel clusters from numerical simulations. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/10194798.

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Lestone, John Paul. Possible reason for the numerical value of the fine-structure constant. Office of Scientific and Technical Information (OSTI), 2018. http://dx.doi.org/10.2172/1423965.

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Heymsfield, Ernie, and Jeb Tingle. State of the practice in pavement structural design/analysis codes relevant to airfield pavement design. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/40542.

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An airfield pavement structure is designed to support aircraft live loads for a specified pavement design life. Computer codes are available to assist the engineer in designing an airfield pavement structure. Pavement structural design is generally a function of five criteria: the pavement structural configuration, materials, the applied loading, ambient conditions, and how pavement failure is defined. The two typical types of pavement structures, rigid and flexible, provide load support in fundamentally different ways and develop different stress distributions at the pavement – base interface
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Muhlestein, Michael, and Carl Hart. Numerical analysis of weak acoustic shocks in aperiodic array of rigid scatterers. Engineer Research and Development Center (U.S.), 2020. http://dx.doi.org/10.21079/11681/38579.

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Abstract:
Nonlinear propagation of shock waves through periodic structures have the potential to exhibit interesting phenomena. Frequency content of the shock that lies within a bandgap of the periodic structure is strongly attenuated, but nonlinear frequency-frequency interactions pumps energy back into those bands. To investigate the relative importance of these propagation phenomena, numerical experiments using the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation are carried out. Two-dimensional propagation through a periodic array of rectangular waveguides is per-formed by iteratively using the output
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