Relevant bibliographies by topics / Euler equations/adaptive grids

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  2. Dissertations / Theses
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Academic literature on the topic 'Euler equations/adaptive grids'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Euler equations/adaptive grids"

1

MA, ZHIHUA, and HONGQUAN CHEN. "SIMULATIONS OF TRANSONIC INVISCID FLOWS OVER AIRFOILS USING MESHFREE ADAPTIVE ALGORITHM." Modern Physics Letters B 19, no. 28n29 (2005): 1491–94. http://dx.doi.org/10.1142/s0217984905009730.

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A new mesh free algorithm, which is both solution and geometry adaptive, is introduced and described in this paper to capture the physical features of inviscid flows modeled by the Euler equations. Only clouds of points instead of grids are distributed over the computational domain and the spatial derivatives of the Euler equations are estimated using a weighted least-square curve fit on local clouds of points. The adaptive approach is compared to traditional global refinement techniques using structured grids. In this procedure, unnecessary "grid" points in adjacent area are prevented from be
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Pike, J. "Grid adaptive algorithms for the solution of the Euler equations on irregular grids." Journal of Computational Physics 71, no. 1 (1987): 194–223. http://dx.doi.org/10.1016/0021-9991(87)90027-1.

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Vilsmeier, R., and D. Hänel. "Adaptive methods on unstructured grids for Euler and Navier-Stokes equations." Computers & Fluids 22, no. 4-5 (1993): 485–99. http://dx.doi.org/10.1016/0045-7930(93)90021-z.

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Riemslagh, Kris, and Erik Dick. "A multigrid method with unstructured adaptive grids for steady Euler equations." Journal of Computational and Applied Mathematics 67, no. 1 (1996): 73–93. http://dx.doi.org/10.1016/0377-0427(94)00117-0.

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Ludwig, Raymond A., Joseph E. Flaherty, Fabio Guerinoni, Peggy L. Baehmann, and Mark S. Shephard. "Adaptive solutions of the Euler equations using finite quadtree and octree grids." Computers & Structures 30, no. 1-2 (1988): 327–36. http://dx.doi.org/10.1016/0045-7949(88)90238-6.

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P., Vijayan, and Y. Kallinderis. "A 3D Finite-Volume Scheme for the Euler Equations on Adaptive Tetrahedral Grids." Journal of Computational Physics 113, no. 2 (1994): 249–67. http://dx.doi.org/10.1006/jcph.1994.1133.

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Pathak, Harshavardhana S., and Ratnesh K. Shukla. "Adaptive finite-volume WENO schemes on dynamically redistributed grids for compressible Euler equations." Journal of Computational Physics 319 (August 2016): 200–230. http://dx.doi.org/10.1016/j.jcp.2016.05.007.

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Berger, Marsha J., and Antony Jameson. "Automatic adaptive grid refinement for the Euler equations." AIAA Journal 23, no. 4 (1985): 561–68. http://dx.doi.org/10.2514/3.8951.

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Sun, X., and J. Z. Zhang. "An r-Adaptive Technique for Unstructured Grids Based on the Segment Spring Analogy Method." International Journal of Computational Methods 12, no. 01 (2015): 1350091. http://dx.doi.org/10.1142/s0219876213500916.

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A simple and effective r-adaptive technique for unstructured grids based on the segment spring analogy method is proposed. The finite element method and a corresponding error estimate method using second derivatives are used for computation. The traditional segment spring analogy method is modified, based on an idea of controlling the equilibrium length of the fictitious springs, and used for mesh adjustment. The principle of making numerical errors distributed uniformly over all elements is applied. Three numerical examples involving the one-dimensional (1D) convection-diffusion equation, the
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Mei, Y., and A. Guha. "Implicit numerical simulation of transonic flow through turbine cascades on unstructured grids." Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy 219, no. 1 (2005): 35–47. http://dx.doi.org/10.1243/095765005x6926.

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Numerical simulation of the compressible flow through a turbine cascade is studied in the present paper. The numerical solution is performed on self-adaptive unstructured meshes by an implicit method. Computational codes have been developed for solving Euler as well as Navier-Stokes equations with various turbulence modelling. The Euler and Navier-Stokes codes have been applied on a standard turbine cascade, and the computed results are compared with experimental results. A hybrid scheme is used for spatial discretization, where the inviscid fluxes are discretized using a finite volume method
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Dissertations / Theses on the topic "Euler equations/adaptive grids"

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Sykes, L. A. "On the numerical solution of compressible flows containing shock discontinuities." Thesis, University of Hertfordshire, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.234329.

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Renzo, Arina. "Orthogonal adaptive grids and their application to the solution of the Euler equations." Doctoral thesis, Universite Libre de Bruxelles, 1987. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/213438.

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Siyahhan, Bercan. "A Two Dimensional Euler Flow Solver On Adaptive Cartesian Grids." Master's thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/12609482/index.pdf.

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In the thesis work, a code to solve the two dimensional compressible Euler equations for external flows around arbitrary geometries have been developed. A Cartesianmesh generator is incorporated to the solver. Hence the pre-processing can be performed together with the solution within a single code. The code is written in the C++ programming language and its object oriented capabilities have been exploited to save memory in the data structure developed. The Cartesian mesh is formed by dividing squares successively into its four quadrants. The main advantage of using this type of a mesh is the
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Cakmak, Mehtap. "Development Of A Multigrid Accelerated Euler Solver On Adaptively Refined Two- And Three-dimensional Cartesian Grids." Master's thesis, METU, 2009. http://etd.lib.metu.edu.tr/upload/2/12610753/index.pdf.

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Cartesian grids offer a valuable option to simulate aerodynamic flows around complex geometries such as multi-element airfoils, aircrafts, and rockets. Therefore, an adaptively-refined Cartesian grid generator and Euler solver are developed. For the mesh generation part of the algorithm, dynamic data structures are used to determine connectivity information between cells and uniform mesh is created in the domain. Marching squares and cubes algorithms are used to form interfaces of cut and split cells. Geometry-based cell adaptation is applied in the mesh generation. After obtaining appropriate
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French, A. D. "Solution of the Euler equations on Cartesian grids." Thesis, Cranfield University, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.303684.

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Bruner, Christopher William Stuteville. "Parallelization of the Euler Equations on Unstructured Grids." Diss., Virginia Tech, 1996. http://hdl.handle.net/10919/30397.

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Several different time-integration algorithms for the Euler equations are investigated on two distributed-memory parallel computers using an explicit message-passing paradigm: these are classic Euler Explicit, four-stage Jameson-style Runge-Kutta, Block Jacobi, Block Gauss-Seidel, and Block Symmetric Gauss-Seidel. A finite-volume formulation is used for the spatial discretization of the physical domain. Both two- and three-dimensional test cases are evaluated against five reference solutions to demonstrate accuracy of the fundamental sequential algorithms. Different schemes for communicating o
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Hu, Guanghui. "Numerical simulations of the steady Euler equations on unstructured grids." HKBU Institutional Repository, 2009. http://repository.hkbu.edu.hk/etd_ra/1106.

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Wehner, Edward. "A Newton-Krylov solver for the Euler equations on unstructured grids." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp05/MQ62898.pdf.

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Bulgok, Murat. "A Quadtree-based Adaptively-refined Cartesian-grid Algorithm For Solution Of The Euler Equations." Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12606687/index.pdf.

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A Cartesian method for solution of the steady two-dimensional Euler equations is produced. Dynamic data structures are used and both geometric and solution-based adaptations are applied. Solution adaptation is achieved through solution-based gradient information. The finite volume method is used with cell-centered approach. The solution is converged to a steady state by means of an approximate Riemann solver. Local time step is used for convergence acceleration. A multistage time stepping scheme is used to advance the solution in time. A number of internal and external flow problems are solved
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Hartmann, Ralf. "Adaptive finite element methods for the compressible Euler equations." [S.l. : s.n.], 2002. http://deposit.ddb.de/cgi-bin/dokserv?idn=964933071.

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Books on the topic "Euler equations/adaptive grids"

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Dannenhoffer, John F. Grid adaptation for the 2-D Euler equations. American Institute of Aeronautics and Astronautics, 1985.

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Predovic, D. Tom. Multigrid solution of the Euler equations using unstructured adaptive meshes. University of Toronto, Dept. of Aerospace Science and Engineering, 1994.

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Mavriplis, Dimitri J. Multigrid solution of the Euler equations on unstructured and adaptive meshes. ICASE, 1987.

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Djomehri, M. Jahed. An assessment of the adaptive unstructured tetrahedral grid, Euler flow solver code FELISA. Ames Research Center, 1994.

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Mavriplis, Dimitri J. Zonal multigrid solution of compressible flow problems on unstructured and adaptive meshes. ICASE, 1989.

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Coirier, William J. Solution-adaptive Cartesian cell approach for viscous and inviscid flows. American Institute of Aeronautics and Astronautics, 1996.

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Coirier, William J. Solution-adaptive Cartesian cell approach for viscous and inviscid flows. American Institute of Aeronautics and Astronautics, 1996.

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Coirier, William J. Solution-adaptive Cartesian cell approach for viscous and inviscid flows. American Institute of Aeronautics and Astronautics, 1996.

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Coirier, William J. Solution-adaptive Cartesian cell approach for viscous and inviscid flows. American Institute of Aeronautics and Astronautics, 1996.

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Coirier, William J. A Cartesian, cell-based approach for adaptively-refined solutions of the Euler and Navier-Stokes equations. National Aeronautics and Space Administration, 1994.

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Book chapters on the topic "Euler equations/adaptive grids"

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Bramkamp, F., and J. Ballmann. "Solution of the Euler Equations on Locally Adaptive B-Spline Grids." In New Results in Numerical and Experimental Fluid Mechanics III. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-540-45466-3_34.

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Riemslagh, K., and E. Dick. "A Runge-Kutta TVD Finite Volume Method for Steady Euler Equations on Adaptive Unstructured Grids." In Proceedings of the Ninth GAMM-Conference on Numerical Methods in Fluid Mechanics. Vieweg+Teubner Verlag, 1992. http://dx.doi.org/10.1007/978-3-663-13974-4_29.

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Ortleb, S., A. Meister, and Th Sonar. "Adaptive Spectral Filtering and Digital Total Variation Postprocessing for the DG Method on Triangular Grids: Application to the Euler Equations." In Lecture Notes in Computational Science and Engineering. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15337-2_45.

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Bellman, Richard, and George Adomian. "Adaptive Grids and Nonlinear Equations." In Partial Differential Equations. Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-5209-6_13.

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Shapiro, Richard A. "Governing Equations." In Adaptive Finite Element Solution Algorithm for the Euler Equations. Vieweg+Teubner Verlag, 1991. http://dx.doi.org/10.1007/978-3-322-87879-3_2.

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Shapiro, Richard A. "Dispersion Phenomena and the Euler Equations." In Adaptive Finite Element Solution Algorithm for the Euler Equations. Vieweg+Teubner Verlag, 1991. http://dx.doi.org/10.1007/978-3-322-87879-3_7.

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Arminjon, Paul, Alain Dervieux, Loula Fezoui, Herve Steve, and Bruno Stoufflet. "Non-Oscillatory Schemes for Multidimensional Euler Calculations with Unstructured Grids." In Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications. Vieweg+Teubner Verlag, 1989. http://dx.doi.org/10.1007/978-3-322-87869-4_1.

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Domingues, Margarete O., Sônia M. Gomes, Olivier Roussel, and Kai Schneider. "Space-Time Adaptive Multiresolution Techniques for Compressible Euler Equations." In The Courant–Friedrichs–Lewy (CFL) Condition. Birkhäuser Boston, 2013. http://dx.doi.org/10.1007/978-0-8176-8394-8_7.

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Vilsmeier, R., and D. Hänel. "Adaptive Solutions of the Conservation Equations on Unstructured Grids." In Proceedings of the Ninth GAMM-Conference on Numerical Methods in Fluid Mechanics. Vieweg+Teubner Verlag, 1992. http://dx.doi.org/10.1007/978-3-663-13974-4_31.

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Engelmann, B., R. H. W. Hoppe, Y. Iliash, Y. A. Kuznetsov, Y. Vassilevski, and B. Wohlmuth. "Adaptive Finite Element Methods for Domain Decomposition on Nonmatching Grids." In Parallel Solution of Partial Differential Equations. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1176-1_3.

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Conference papers on the topic "Euler equations/adaptive grids"

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WARREN, GARY. "Adaptive grid embedding for the two-dimensional Euler equations." In Flight Simulation Technologies Conference and Exhibit. American Institute of Aeronautics and Astronautics, 1990. http://dx.doi.org/10.2514/6.1990-3049.

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Delanaye, M., and J. Essers. "An accurate finite volume scheme for Euler and Navier-Stokes equations on unstructured adaptive grids." In 12th Computational Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics, 1995. http://dx.doi.org/10.2514/6.1995-1710.

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CONNETT, WILLIAM, ALAN SCHWARTZ, and RAMESH AGARWAL. "An adaptive-grid algorithm for the Euler/Navier-Stokes equations." In 26th Aerospace Sciences Meeting. American Institute of Aeronautics and Astronautics, 1988. http://dx.doi.org/10.2514/6.1988-519.

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LUO, HONG, JOSEPH BAUM, RAINALD LOEHNER, and JEAN CABELLO. "Adaptive edge-based finite element schemes for the Euler and Navier-Stokes equations on unstructured grids." In 31st Aerospace Sciences Meeting. American Institute of Aeronautics and Astronautics, 1993. http://dx.doi.org/10.2514/6.1993-336.

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Yang, Chi, Rainald Lo¨hner, and Solomon C. Yim. "Development of a CFD Simulation Method for Extreme Wave and Structure Interactions." In ASME 2005 24th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2005. http://dx.doi.org/10.1115/omae2005-67422.

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A robust Volume of Fluid (VOF) technique is presented together with an incompressible Euler/Navier Stokes solver operating on adaptive, unstructured grids to simulate the interactions of extreme waves and three-dimensional structures. The incompressible Euler/Navier Stokes equations are solved using projection schemes and a finite element method. The classic dam-break problem has been used to validate the computer code developed based on the method described above. The numerical simulations of a three dimensional dam-break wave interacting with a single cylinder and a cylinder array have been
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Delanaye, M., and J. A. Essers. "Finite Volume Scheme With Quadratic Reconstruction on Unstructured Adaptive Meshes Applied to Turbomachinery Flows." In ASME 1995 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/95-gt-234.

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This paper presents a new finite volume cell-centered scheme for solving the 2D Euler equations. The technique for computing the advective derivatives is based on a high-order Gauss quadrature and an original quadratic reconstruction of the conservative variables for each control volume. A very sensitive detector identifying discontinuity regions switches the scheme to a TVD scheme, and ensures the monotonicity of the solution. The code uses unstructured meshes whose cells are polygons with any number of edges. A mesh adaptation based on cell division is performed in order to increase the reso
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Choo, Benjamin M. F., and Mehrdad Zangeneh. "Development of an (Adaptive) Unstructured 2-D Inverse Design Method for Turbomachinery Blades." In ASME Turbo Expo 2002: Power for Land, Sea, and Air. ASMEDC, 2002. http://dx.doi.org/10.1115/gt2002-30620.

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An aerodynamics inverse design method for turbomachinery blades using fully (adaptive) unstructured meshes is presented. In this design method, the pressure loading (i.e. pressure jump across the blades) and thickness distribution are prescribed. The design method then computes the blade shape that would accomplish this loading. This inverse design method is implemented using a cell-centred finite volume method which solves the Euler equations on Delaunay unstructured triangular meshes using upwind flux vector splitting scheme. The analysis/direct Euler solver first is validated against some t
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Wijesinghe, H. S., R. Hornung, A. L. Garcia, and N. G. Hadjiconstantinou. "3-Dimensional Hybrid Continuum-Atomistic Simulations for Multiscale Hydrodynamics." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-41251.

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We present an adaptive mesh and algorithmic refinement (AMAR) scheme for modeling multi-scale hydrodynamics. The AMAR approach extends standard conservative adaptive mesh refinement (AMR) algorithms by providing a robust flux-based method for coupling an atomistic fluid representation to a continuum model. The atomistic model is applied locally in regions where the continuum description is invalid or inaccurate, such as near strong flow gradients and at fluid interfaces, or when the continuum grid is refined to the molecular scale. The need for such “hybrid” methods arises from the fact that h
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Bruner, Christopher, Robert Walters, Christopher Bruner, and Robert Walters. "Parallelization of the Euler equations on unstructured grids." In 13th Computational Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics, 1997. http://dx.doi.org/10.2514/6.1997-1894.

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BELK, D., J. JANUS, and D. WHITFIELD. "Three-dimensional unsteady Euler equations solutions on dynamic grids." In 18th Fluid Dynamics and Plasmadynamics and Lasers Conference. American Institute of Aeronautics and Astronautics, 1985. http://dx.doi.org/10.2514/6.1985-1704.

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