Relevant bibliographies by topics / Curvilinear coordinates

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Curvilinear coordinates'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Curvilinear coordinates"

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Suara, Gafar, and Timothy Oluwadare Idowu. "Optimum Techniques for the Conversion of Space Rectangular and Curvilinear Coordinates." European Journal of Engineering Research and Science 4, no. 10 (2019): 147–51. http://dx.doi.org/10.24018/ejers.2019.4.10.1588.

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Conversion between space rectangular (X, Y, Z) and curvilinear (φ, λ, h) coordinates is an important task in the field of Surveying, geodesy, positioning, navigation, mapping etc. Different techniques which include iterative methods, non-iterative techniques and closed form algebraic methods have been applied over the years to carry out the coordinate conversion. However, the results obtained using these techniques are deficient in one way or the other due to the inherent limitations such as inability to produce results for curvilinear coordinates when the values of X, Y and Z are subsequently
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Suara, Gafar, and Timothy Oluwadare Idowu. "Optimum Techniques for the Conversion of Space Rectangular and Curvilinear Coordinates." European Journal of Engineering and Technology Research 4, no. 10 (2019): 147–51. http://dx.doi.org/10.24018/ejeng.2019.4.10.1588.

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Conversion between space rectangular (X, Y, Z) and curvilinear (?, ?, h) coordinates is an important task in the field of Surveying, geodesy, positioning, navigation, mapping etc. Different techniques which include iterative methods, non-iterative techniques and closed form algebraic methods have been applied over the years to carry out the coordinate conversion. However, the results obtained using these techniques are deficient in one way or the other due to the inherent limitations such as inability to produce results for curvilinear coordinates when the values of X, Y and Z are subsequently
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Chuiko, M. M., and O. M. Korolyova. "Solution of the mixed boundary problem for the Poisson equation on two-dimensional irregular domains." Informatics 20, no. 2 (2023): 111–20. http://dx.doi.org/10.37661/1816-0301-2023-20-2-111-120.

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Objectives. A finite-difference computational algorithm is proposed for solving a mixed boundary-value problem for the Poisson equation given in two-dimensional irregular domains.Methods. To solve the problem, generalized curvilinear coordinates are used. The physical domain is mapped to the computational domain (unit square) in the space of generalized coordinates. The original problem is written in curvilinear coordinates and approximated on a uniform grid in the computational domain.The obtained results are mapped on non-uniform boundary-fitted difference grid in the physical domain.Results
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Kämpfer, B., and B. Lukács. "Hydrodynamics in curvilinear coordinates." Acta Physica Hungarica 61, no. 3-4 (1987): 317–41. http://dx.doi.org/10.1007/bf03158358.

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Paavola, J., and E. M. Salonen. "Coping with Curvilinear Coordinates." International Journal of Mechanical Engineering Education 26, no. 4 (1998): 309–17. http://dx.doi.org/10.1177/030641909802600405.

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A systematic method to generate expressions appearing in physics and engineering and valid in curvilinear orthogonal coordinates is presented. The method, which is called ‘the method of local cartesian coordinates’ achieves the same as ‘the method of moving axes’ presented in Love [1] but with a smaller effort and with more familiar mathematical tools. The main idea is: if we have an expression valid in rectangular cartesian coordinates, a corresponding expression for curvilinear orthogonal coordinates can be formed with simple steps. Some general expressions are generated, but the method can
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Abrikosov, A. A. "Instantons in curvilinear coordinates." Nuclear Physics B - Proceedings Supplements 86, no. 1-3 (2000): 452–55. http://dx.doi.org/10.1016/s0920-5632(00)00603-4.

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Hsang, Lee Ting, An Chong Shan, and Zhai Tian Yi. "Quantization in curvilinear coordinates." International Journal of Theoretical Physics 29, no. 9 (1990): 909–33. http://dx.doi.org/10.1007/bf00673681.

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Nesnov, Dmitriy. "Area of correct space coordination by normal conic coordinates." Geometry & Graphics 11, no. 3 (2023): 3–11. http://dx.doi.org/10.12737/2308-4898-2023-11-3-3-11.

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The field theory is widely represented in spherical and cylindrical coordinate systems, since the mathematical apparatus of these coordinate systems is well studied. Field sources with more complex structures require new approaches to their study. The purpose of this study is to determine the correct coordination of space by normal conic coordinates. This is necessary in subsequent studies, the task of which will be to simplify the expressions for the characteristics of the field by introducing a special coordination of space, which reflect the shape of the source and/or sink of the field. For
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Nahmad-Achar, E., and B. F. Schutz. "Pseudotensors in asymptotically curvilinear coordinates." General Relativity and Gravitation 19, no. 7 (1987): 655–63. http://dx.doi.org/10.1007/bf00766272.

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CIARLET, PHILIPPE G., CRISTINEL MARDARE, and MING SHEN. "SAINT VENANT COMPATIBILITY EQUATIONS IN CURVILINEAR COORDINATES." Analysis and Applications 05, no. 03 (2007): 231–51. http://dx.doi.org/10.1142/s0219530507000973.

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We first establish that the linearized strains in curvilinear coordinates associated with a given displacement field necessarily satisfy compatibility conditions that constitute the "Saint Venant equations in curvilinear coordinates". We then show that these equations are also sufficient, in the following sense: If a symmetric matrix field defined over a simply-connected open set satisfies the Saint Venant equations in curvilinear coordinates, then its coefficients are the linearized strains associated with a displacement field. In addition, our proof provides an explicit algorithm for recover
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Dissertations / Theses on the topic "Curvilinear coordinates"

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Ljungberg, Malin. "Handling of curvilinear coordinates in a PDE solver framework." Licentiate thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-86138.

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By the use of object-oriented analysis and design combined with variability modeling a highly flexible software model for the metrics handling functionality of a PDE solver framework was obtained. This new model was evaluated in terms of usability, particularly with respect to efficiency and flexibility. The efficiency of a pilot implementation is similar to, or even higher than that of a pre-existing application-specific reference code. With regards to flexibility it is shown that the new software model performs well for a set of four change scenarios selected by an expert user group.
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Wang, Xiaojun. "Well-posedness results for a class of complex flow problems in the high Weissenberg number limit." Diss., Virginia Tech, 2012. http://hdl.handle.net/10919/27669.

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For simple fluids, or Newtonian fluids, the study of the Navier-Stokes equations in the high Reynolds number limit brings about two fundamental research subjects, the Euler equations and the Prandtl's system. The consideration of infinite Reynolds number reduces the Navier-Stokes equations to the Euler equations, both of which are dealing with the entire flow region. Prandtl's system consists of the governing equations of the boundary layer, a thin layer formed at the wall boundary where viscosity cannot be neglected. In this dissertation, we investigate the upper convected Maxwell(UCM) mod
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Medida, Shivaji. "Curvilinear Extension to the Giles Non-reflecting Boundary Conditions for Wall-bounded Flows." Connect to Online Resource-OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=toledo1185309100.

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Thesis (M.S.)--University of Toledo, 2007.<br>Typescript. "Submitted as partial fulfillments of the requirements for the Master of Science Degree in Mechanical Engineering." "A thesis entitled"--at head of title. Bibliography: leaves 196-205.
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Ljungberg, Malin. "Design of High Performance Computing Software for Genericity and Variability." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis Acta Universitatis Upsaliensis, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-7768.

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Strobusch, Daniel [Verfasser], Mathias [Akademischer Betreuer] Nest, Uwe [Akademischer Betreuer] Manthe, Wolfgang [Akademischer Betreuer] Domcke, and Steffen J. [Akademischer Betreuer] Glaser. "Adaptive Expansions of the Vibrational Hamiltonian in Curvilinear Coordinates / Daniel Strobusch. Gutachter: Uwe Manthe ; Wolfgang Domcke ; Steffen J. Glaser ; Mathias Nest. Betreuer: Mathias Nest." München : Universitätsbibliothek der TU München, 2014. http://d-nb.info/1050025490/34.

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Stejskal, Jiří. "Analýza rychlostních a tlakových polí kapaliny, využitím křivočarých souřadnic." Doctoral thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2017. http://www.nusl.cz/ntk/nusl-316408.

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This work introduces a new method of hydraulic design of a centrifugal pump impeller. This method is based on a geometrical approach employing curvilinear coordinates that are used to formulate both the axisymmetrical flow model in a meridional shape and the final model of flow in a blade cascade taking into account the full 3D shape of the impeller blade. The solution to this model then directly provides the guidelines for shaping the impeller blade in order to suppress the secondary flows, thus increasing the impeller efficiency, which is demonstrated on a real impeller design case. The part
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Nguyen, Dinh Hai. "Analyse asymptotique, modélisation micromécanique et simulation numérique des interfaces courbées rugueuses dans des matériaux hétérogènes." Thesis, Paris Est, 2014. http://www.theses.fr/2014PEST1067/document.

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Dans ce travail de thèse, il s'agit essentiellement de déterminer les propriétés mécaniques et physiques linéaires effectives des composites dans lesquels l'interface entre deux phases n'est pas lisse mais très rugueuse. Une approche efficace pour surmonter les difficultés provenant de la présence de rugosités d'interface consiste d'abord à homogénéiser une zone d'interface rugueuse comme une interphase équivalente par une analyse asymptotique et ensuite à appliquer des schémas micromécaniques pour estimer les propriétés effectives en tenant en compte de la présence de l'interphase équivalente
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Meltz, Bertrand. "Analyse mathématique et numérique de systèmes d’hydrodynamique compressible et de photonique en coordonnées polaires." Thesis, Université Paris-Saclay (ComUE), 2015. http://www.theses.fr/2015SACLS062/document.

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Ce manuscrit de thèse est consacré à l'analyse mathématique et numérique des systèmes de l'hydrodynamique compressible et de la photonique. Plus particulièrement, on étudie la construction de méthodes numériques dans des systèmes de coordonnées 2D polaires (une coordonnée radiale et une coordonnée d'angle) et où les équations sont discrétisées sur des maillages polaires structurés. Ces méthodes sont adaptées à la simulation d'écoulements à symétrie polaire puisqu'elles préservent ces symétries par construction. En revanche, ces systèmes de coordonnées introduisent des singularités géométriques
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Caire, François. "Les équations de Maxwell covariantes pour le calcul rapide des champs diffractés par des conducteurs complexes. Application au Contrôle Non Destructif par courants de Foucault." Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112284/document.

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Ce travail de thèse a pour objectif de fournir un outil de modélisation rapide de l'interaction d'une source électromagnétique 3D avec une pièce de géométrie ou de propriétés physiques complexes dans le domaine des basses fréquences (régime quasi-statique). La principale application est la simulation d'un procédé de Contrôle Non Destructif (CND) d'une pièce conductrice présentant une surface ou des propriétés physiques perturbées. La plateforme logicielle CIVA, comportant un module dédié à la simulation des procédés de CND par courants de Foucault intègre à l’heure actuelle des modèles semi-an
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Perez, Alex C. "Applications of Relative Motion Models Using Curvilinear Coordinate Frames." DigitalCommons@USU, 2017. https://digitalcommons.usu.edu/etd/5529.

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A new angles-only initial relative orbit determination (IROD) algorithm is derived using three line-of-sight observations. This algorithm accomplishes this by taking a Singular Value Decomposition of a 6x6 matrix to arrive at an approximate initial relative orbit determination solution. This involves the approximate solution of 6 polynomial equations in 6 unknowns. An iterative improvement algorithm is also derived that provides the exact solution, to numerical precision, of the 6 polynomial equations in 6 unknowns. The initial relative orbit algorithm is also expanded for more than three line
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Books on the topic "Curvilinear coordinates"

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Antoni, Markus. Calculus with Curvilinear Coordinates. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-00416-3.

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Lee, Jong-Hun. Hypersonic three-dimensional nonequilibrium boundary-layer equations in generalized curvilinear coordinates. National Aeronautics and Space Administration, 1993.

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Lee, Jong-Hun. Hypersonic three-dimensional nonequilibrium boundary-layer equations in generalized curvilinear coordinates. National Aeronautics and Space Administration, 1993.

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Lee, Jong-Hun. Hypersonic three-dimensional nonequilibrium boundary-layer equations in generalized curvilinear coordinates. National Aeronautics and Space Administration, 1993.

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Darboux, Gaston. Leçons sur les systèmes orthogonaux et les coordonnées curvilignes. 2nd ed. Gauthier-Villars, 1991.

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Panaras, Argyris G. Boundary-layer equations in generalized curvilinear coordinates. National Aeronautics and Space Administration, Ames Research Center, 1987.

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Center, Ames Research, ed. Boundary-layer equations in generalized curvilinear coordinates. National Aeronautics and Space Administration, Ames Research Center, 1987.

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Panaras, Argyris G. Boundary-layer equations in generalized curvilinear coordinates. Ames Research Center, 1987.

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Panaras, Argyris G. Boundary-layer equations in generalized curvilinear coordinates. National Aeronautics and Space Administration, Ames Research Center, 1987.

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Zingg, D. W. A method of smooth bivariate interpolation for data given on a generalized curvilinear grid. [s.n.], 1992.

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Book chapters on the topic "Curvilinear coordinates"

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Langlois, William E., and Michel O. Deville. "Curvilinear Coordinates." In Slow Viscous Flow. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-03835-3_3.

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Matthews, Paul C. "Curvilinear Coordinates." In Springer Undergraduate Mathematics Series. Springer London, 1998. http://dx.doi.org/10.1007/978-1-4471-0597-8_6.

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Kantorovich, Lev. "Curvilinear Coordinates." In Mathematics for Natural Scientists II. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-46320-4_7.

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Kantorovich, Lev. "Curvilinear Coordinates." In Mathematics for Natural Scientists II. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-27861-2_7.

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Shapiro, Ilya L. "Curvilinear Coordinates, Local Coordinate Transformations." In Undergraduate Lecture Notes in Physics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-26895-4_4.

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Srinivas, Karkenahalli, and Clive A. J. Fletcher. "Generalised Curvilinear Coordinates." In Scientific Computation. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-58108-3_11.

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Fletcher, Clive A. J. "Generalised Curvilinear Coordinates." In Scientific Computation. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-58239-4_2.

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Fletcher, Clive A. J. "Generalised Curvilinear Coordinates." In Computational Techniques for Fluid Dynamics. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-97071-9_2.

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Antoni, Markus. "Arc Length and Tangent Vector." In Calculus with Curvilinear Coordinates. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00416-3_1.

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Antoni, Markus. "Differentiation of Field Quantities." In Calculus with Curvilinear Coordinates. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00416-3_2.

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Conference papers on the topic "Curvilinear coordinates"

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Jarrah, Ibrahim, and Rizwan-uddin. "Nodal Integral Methods in Curvilinear Coordinates Applied to Quadrilateral Elements." In Mathematics and Computation 2021. American Nuclear Society, 2021. https://doi.org/10.13182/xyz-33901.

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Adamopoulos, G., D. J. Bergstrom, and J. Postlethwaite. "A Mass Transfer Model for Corrosion under Disturbed Flow Conditions at Bends." In CORROSION 1993. NACE International, 1993. https://doi.org/10.5006/c1993-93639.

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Abstract Bends in piping are notable for their susceptibility to erosion-corrosion at high flow rates. One of the important factors in the modelling of erosion-corrosion is the ability to calculate local wall-mass-transfer rates under disturbed flow conditions such as those that occur at bends. This paper describes the application of a low-Reynolds number k — ϵ turbulence model to the numerical simulation of mass-transfer at a bend. The mass transport and flow equations are solved simultaneously, using a finite volume technique and orthogonal curvilinear coordinates. The additional terms in th
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Merle, Xavier, and Jean-Christophe Robinet. "Global Stability in Curvilinear Coordinates." In 39th AIAA Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics, 2009. http://dx.doi.org/10.2514/6.2009-3811.

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Hirokawa, Keishun, Kosuke Hayashi, Akira Sou, Akio Tomiyama, and Naoki Takada. "Numerical Simulation of Single Drops in a Vertical Pipe Using Various Coordinate Systems." In ASME/JSME 2007 5th Joint Fluids Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/fedsm2007-37491.

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The effects of the diameter ratio λ (= d/D, where d and D are the diameters of a drop and a pipe, respectively), the Morton number M and the viscosity ratio κ (= μd/μc, where μ is the viscosity and the subscripts d and c are the dispersed fluid particle and the continuous phase, respectively) on terminal velocities and shapes of single drops rising through stagnant liquids in a vertical pipe are investigated experimentally. Then, the drops in the pipe are simulated using a volume tracking method with various coordinate systems, i.e., three-dimensional (3D) cylindrical coordinates, 3D general c
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Soares, Armando, and Paula Catarino. "TEACHING CURVILINEAR COORDINATES WITH GOOGLE EARTH." In International Conference on Education and New Learning Technologies. IATED, 2016. http://dx.doi.org/10.21125/edulearn.2016.1259.

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Hery, Elwan, Stefano Masi, Philippe Xu, and Philippe Bonnifait. "Map-based curvilinear coordinates for autonomous vehicles." In 2017 IEEE 20th International Conference on Intelligent Transportation Systems (ITSC). IEEE, 2017. http://dx.doi.org/10.1109/itsc.2017.8317775.

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Hixon, Duane R. "Efficient Shock Capturing Dissipation Method for Curvilinear Coordinates." In AIAA AVIATION 2020 FORUM. American Institute of Aeronautics and Astronautics, 2020. http://dx.doi.org/10.2514/6.2020-2512.

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de Mattos, Bento, and S. Wagner. "Numerical design of transonic wings in curvilinear coordinates." In 12th Applied Aerodynamics Conference. American Institute of Aeronautics and Astronautics, 1994. http://dx.doi.org/10.2514/6.1994-1897.

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Usuki, Tatsuya. "Numerical Designing of Optical Waveguide by Curvilinear Coordinates." In 2019 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD). IEEE, 2019. http://dx.doi.org/10.1109/nusod.2019.8806798.

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Lee, R. T., J. G. Maloney, B. N. Baker, and D. W. Landgren. "FDTD in curvilinear coordinates using a rectangular FDTD formulation." In 2011 IEEE Antennas and Propagation Society International Symposium and USNC/URSI National Radio Science Meeting. IEEE, 2011. http://dx.doi.org/10.1109/aps.2011.5996985.

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Reports on the topic "Curvilinear coordinates"

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Cleveland, Mathew Allen, Robert Byron Lowrie, Gabriel M. Rockefeller, Kelly Glen Thompson, and Allan Benton Wollaber. Momentum Deposition in Curvilinear Coordinates. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1207750.

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Shi, Fengyan, Robert A. Dalrymple, James T. Kirby, Qin Chen, and Andrew Kennedy. A Fully Nonlinear Boussinesq Model in Generalized Curvilinear Coordinates. Defense Technical Information Center, 1999. http://dx.doi.org/10.21236/ada379007.

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Wingenter, Suzanne. Modelling the Shallow Water Equations in Curvilinear Coordinates with Physical Application. Office of Scientific and Technical Information (OSTI), 2005. http://dx.doi.org/10.2172/15014692.

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Mezzacappa, Anthony, Eirik Endeve, Cory D. Hauck, and Yulong Xing. Bound-Preserving Discontinuous Galerkin Methods for Conservative Phase Space Advection in Curvilinear Coordinates. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1394128.

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Segletes, Steven B., and William P. Walters. Analytical Solution in Curvilinear Coordinates for the Trajectory of a Projectile Subject to Aerodynamic Drag. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada553963.

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Cook, W. A. Generalized finite strains, generalized stresses, and a hybrid variational principle for finite-element computer programs using curvilinear coordinates. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/6288515.

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Rene, Schubert. Computing the Meridional Overturning Circulation from NEMO Output. GEOMAR, 2021. http://dx.doi.org/10.3289/sw_3_2021.

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With this script, the Meridional Overturning Circulation (MOC) can be computed from NEMO ocean-model output for the whole globe or the Atlantic (AMOC), Indic (IMOC) and Pacific (PMOC) subbasins. The MOC is computable in z- and sigma coordinates. Moreover, for nested configurations, it is possible to combine data from both host and nest grids. Finally, it is possible to take into account of that the ORCA model grid is curvilinear north of 20°N: it is possible to compute the northward velocity component from the velocity field in x- and y- directions and to sum up the meridional flux over latitu
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Rogers, W. E., and Timothy J. Campbell. Implementation of Curvilinear Coordinate System in the WAVEWATCH III Model. Defense Technical Information Center, 2009. http://dx.doi.org/10.21236/ada507120.

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