Academic literature on the topic 'Cell-Centered Finite-Volume Methods'
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Journal articles on the topic "Cell-Centered Finite-Volume Methods"
Zhang, Wenjuan, and Mohammed Al Kobaisi. "Cell-Centered Nonlinear Finite-Volume Methods With Improved Robustness." SPE Journal 25, no. 01 (July 2, 2019): 288–309. http://dx.doi.org/10.2118/195694-pa.
Full textNicaise, Serge. "A posteriori error estimations of some cell-centered finite volume methods." SIAM Journal on Numerical Analysis 43, no. 4 (January 2005): 1481–503. http://dx.doi.org/10.1137/s0036142903437787.
Full textBidégaray, B., and J. M. Ghidaglia. "Multidimensional corrections to cell-centered finite volume methods for Maxwell equations." Applied Numerical Mathematics 44, no. 3 (February 2003): 281–98. http://dx.doi.org/10.1016/s0168-9274(02)00171-x.
Full textChen, Long, and Ming Wang. "Cell Conservative Flux Recovery and A Posteriori Error Estimate of Vertex-Centered Finite Volume Methods." Advances in Applied Mathematics and Mechanics 5, no. 05 (October 2013): 705–27. http://dx.doi.org/10.4208/aamm.12-m1279.
Full textTerekhov, Kirill M., Bradley T. Mallison, and Hamdi A. Tchelepi. "Cell-centered nonlinear finite-volume methods for the heterogeneous anisotropic diffusion problem." Journal of Computational Physics 330 (February 2017): 245–67. http://dx.doi.org/10.1016/j.jcp.2016.11.010.
Full textJahandari, Hormoz, and Colin G. Farquharson. "Forward modeling of gravity data using finite-volume and finite-element methods on unstructured grids." GEOPHYSICS 78, no. 3 (May 1, 2013): G69—G80. http://dx.doi.org/10.1190/geo2012-0246.1.
Full textBerzins, M., and J. M. Ware. "Positive cell-centered finite volume discretization methods for hyperbolic equations on irregular meshes." Applied Numerical Mathematics 16, no. 4 (February 1995): 417–38. http://dx.doi.org/10.1016/0168-9274(95)00007-h.
Full textZou, Dongyang, Chunguang Xu, Haibo Dong, and Jun Liu. "A shock-fitting technique for cell-centered finite volume methods on unstructured dynamic meshes." Journal of Computational Physics 345 (September 2017): 866–82. http://dx.doi.org/10.1016/j.jcp.2017.05.047.
Full textVakilipour, Shidvash, Masoud Mohammadi, Vahid Badrkhani, and Scott Ormiston. "Developing a physical influence upwind scheme for pressure‐based cell‐centered finite volume methods." International Journal for Numerical Methods in Fluids 89, no. 1-2 (October 2018): 43–70. http://dx.doi.org/10.1002/fld.4682.
Full textAsmouh, Ilham, Mofdi El-Amrani, Mohammed Seaid, and Naji Yebari. "A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations." Computational and Mathematical Methods 2022 (February 13, 2022): 1–18. http://dx.doi.org/10.1155/2022/8192192.
Full textDissertations / Theses on the topic "Cell-Centered Finite-Volume Methods"
Ravikumar, Devaki. "2D Compressible Viscous Flow Computations Using Acoustic Flux Vector Splitting (AFVS) Scheme." Thesis, Indian Institute of Science, 2001. https://etd.iisc.ac.in/handle/2005/277.
Full textRavikumar, Devaki. "2D Compressible Viscous Flow Computations Using Acoustic Flux Vector Splitting (AFVS) Scheme." Thesis, Indian Institute of Science, 2001. http://hdl.handle.net/2005/277.
Full textTetelin, Arthur. "Reconstruction des variables vectorielles dans le cadre des méthodes volumes finis sur maillages non-structurés généraux." Electronic Thesis or Diss., Toulouse, ISAE, 2024. http://www.theses.fr/2024ESAE0029.
Full textNumerical simulations in the field of energetics often present sharp gradients or discontinuities, as well as strong disparity of spatial and temporal scales. This is typical of simulations runned with Cedre software, developed by ONERA’s Multi-physics department for energetics. All these features involve the development of accurate, robust and efficient numerical methods. In this framework, variable reconstruction is one of the key aspects of the resolution of hyperbolic conservation laws in finite volume methods. These reconstructions improve the accuracy of the numerical fluxes, which has a direct impact on the spatial accuracy of the scheme. Moreover, it is well known that a linear reconstruction is not sufficient to ensure the scheme stability. Thus, non-linear reconstructions are required. While scalar variables reconstructions have been intensively studied during the last decades, very few studies have been conducted on vectorial variable reconstructions. In industrial codes like Cedre, each component of vectorial variables is usually treated independently as a scalar variable. However, such an approach reveals to be frame-dependent : the solution is dependent on the frame, leading to conservation and accuracy problems on periodical meshes. This thesis therefore focuses on two aspects. Firstly, it aims to study theoretically the accuracy and stability of vectorial reconstructions, and secondly to develop a vectorial reconstruction method designed for the multislope MUSCL scheme, being efficient, accurate and robust. To do so, we introduce limited κ-schemes, allowing to obtain a second-order accurate frame-invariant reconstruction, easily adaptable to any monotone condition chosen. We also introduce fictitious reconstructions, allowing to get a formulation of the scheme highlighting its stability properties. We deduce from it two monotonicity definitions suitable for vectors, that we then run on different numerical test-cases. Lastly, we present a third approach, based on the direct extension of the scalar monotonicity condition to the vectorial case. Even if no stability proof has been written, this approach presents the best compromise between stability and accuracy
Georges, Gabriel. "Développement d’un schéma aux volumes finis centré lagrangien pour la résolution 3D des équations de l’hydrodynamique et de l’hyperélasticité." Thesis, Bordeaux, 2016. http://www.theses.fr/2016BORD0130/document.
Full textHigh Energy Density Physics (HEDP) flows are multi-material flows characterizedby strong shock waves and large changes in the domain shape due to rarefactionwaves. Numerical schemes based on the Lagrangian formalism are good candidatesto model this kind of flows since the computational grid follows the fluid motion.This provides accurate results around the shocks as well as a natural tracking ofmulti-material interfaces and free-surfaces. In particular, cell-centered Finite VolumeLagrangian schemes such as GLACE (Godunov-type LAgrangian scheme Conservativefor total Energy) and EUCCLHYD (Explicit Unstructured Cell-CenteredLagrangian HYDrodynamics) provide good results on both the modeling of gas dynamicsand elastic-plastic equations. The work produced during this PhD thesisis in continuity with the work of Maire and Nkonga [JCP, 2009] for the hydrodynamicpart and the work of Kluth and Després [JCP, 2010] for the hyperelasticitypart. More precisely, the aim of this thesis is to develop robust and accurate methodsfor the 3D extension of the EUCCLHYD scheme with a second-order extensionbased on MUSCL (Monotonic Upstream-centered Scheme for Conservation Laws)and GRP (Generalized Riemann Problem) procedures. A particular care is taken onthe preservation of symmetries and the monotonicity of the solutions. The schemerobustness and accuracy are assessed on numerous Lagrangian test cases for whichthe 3D extensions are very challenging
Hung, Jui-Chi, and 洪瑞祺. "Solving Laplace’s Equation by Cell-Centered Finite Volume Method on Unstructured Grids." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/54845486365317191748.
Full text國立高雄海洋科技大學
輪機工程研究所
97
In this study a cell-centered finite volume method on unstructured grids is used to solve Laplace’s equation. The two- dimensional and three-dimensional heat conduction problems in steady and unsteady states are analyzed. First, Laplace’s equation is discretized to obtain differential equations with first-order and hyper-order accuracy. Then, the converged solution is determined within specific iterative times using the conjugate gradient iterative method (P-CG). This study compares the calculated results of first-order accuracy with those of hyper-order accuracy in steady and unsteady states. The experiment indicates that the results of first-order accuracy are consistent with those of hyper-order accuracy on unstructured grids in steady state. Moreover, applying the cell-centered finite volume method on problems in unsteady state will reduce the number of iterative times, and converges much faster.
Lu, Tsung-Yi, and 陸宗儀. "A MATLAB Code to Solve Heat Conduction Problem by Cell-Centered Finite Volume Method on Unstructured Grids." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/90594286564328855688.
Full text國立高雄海洋科技大學
輪機工程研究所
98
A MATLAB code is developed for solving Laplacian like equations such as heat conduction and concentration diffusion. The algorithm is based on the unstructured grids and the problems solving use conjugate gradient method to speed up the calculation. Two and three dimensional problems in heat conduction are examined in very good agreement with analytic solution.
Book chapters on the topic "Cell-Centered Finite-Volume Methods"
Feng, Xueshang. "Cell-Centered Finite Volume Methods." In Magnetohydrodynamic Modeling of the Solar Corona and Heliosphere, 125–337. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-9081-4_2.
Full textFořt, J., J. Fürst, J. Halama, M. Hrušová, and K. Kozel. "Comparisons of Cell Centered and Cell Vertex Finite Volume Methods for Internal Flow Problems." In Hyperbolic Problems: Theory, Numerics, Applications, 325–32. Basel: Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8720-5_35.
Full textCaucao, Sergio, Tongtong Li, and Ivan Yotov. "A Cell-Centered Finite Volume Method for the Navier–Stokes/Biot Model." In Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, 325–33. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43651-3_29.
Full textHahn, Jooyoung, Karol Mikula, Peter Frolkovič, Martin Balažovjech, and Branislav Basara. "Cell-Centered Finite Volume Method for Regularized Mean Curvature Flow on Polyhedral Meshes." In Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, 755–63. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43651-3_72.
Full textSantugini, Kévin. "A Discontinuous Coarse Space (DCS) Algorithm for Cell Centered Finite Volume Based Domain Decomposition Methods: The DCS-RJMin Algorithm." In Lecture Notes in Computational Science and Engineering, 379–87. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-18827-0_38.
Full textZarrouk, M. Mustapha. "Optimized Schwarz and Finite Volume Cell-Centered Method for Heterogeneous Problems." In Lecture Notes in Networks and Systems, 434–39. Cham: Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-48465-0_57.
Full textCoudière, Yves, and Gianmarco Manzini. "Benchmark 3D: The Cell-Centered Finite Volume Method Using Least Squares Vertex Reconstruction (“Diamond Scheme”)." In Finite Volumes for Complex Applications VI Problems & Perspectives, 985–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20671-9_96.
Full textBenkhaldoun, Fayssal, Amadou Mahamane, and Mohammed Seaïd. "Adaptive cell-centered finite volume method for non-homogeneous diffusion problems: Application to transport in porous media." In Finite Volumes for Complex Applications VI Problems & Perspectives, 79–87. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20671-9_9.
Full textKoren, Barry. "Iterative defect correction and multigrid accelerated explicit time stepping for the steady Euler equations." In Numerical Methods for Fluid Dynamics, 207–20. Oxford University PressOxford, 1994. http://dx.doi.org/10.1093/oso/9780198536963.003.0013.
Full textConference papers on the topic "Cell-Centered Finite-Volume Methods"
Zhang, W., and M. Al Kobaisi. "Discrete Fracture-Matrix Simulations Using Cell-Centered Nonlinear Finite Volume Methods." In ECMOR XVII. European Association of Geoscientists & Engineers, 2020. http://dx.doi.org/10.3997/2214-4609.202035010.
Full textZangeneh, Reza, and Carl F. Ollivier Gooch. "Reconstruction Map Stability Analysis for Cell Centered Finite Volume Methods on Unstructured Meshes." In 55th AIAA Aerospace Sciences Meeting. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2017. http://dx.doi.org/10.2514/6.2017-0734.
Full textNishikawa, Hiroaki, and Jeffery A. White. "A Simplified FANG Cell-Centered Finite-Volume Method and Comparison with Other Methods for Trouble-Prone Grids." In AIAA AVIATION 2021 FORUM. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2021. http://dx.doi.org/10.2514/6.2021-2720.
Full textContreras, Fernando, Marcio Souza, Paulo Lyra, and Darlan Carvalho. "Numerical Simulation of Fluid Flows in Petroleum Reservoirs Using a Cell Centered Non-Linear Finite Volume Method in Unstructured Polygonal Meshes." In XXXVI Iberian Latin American Congress on Computational Methods in Engineering. Rio de Janeiro, Brazil: ABMEC Brazilian Association of Computational Methods in Engineering, 2015. http://dx.doi.org/10.20906/cps/cilamce2015-0630.
Full textWhite, Jeffery A., Hiroaki Nishikawa, and Robert A. Baurle. "Weighted Least-squares Cell-Average Gradient Construction Methods For The VULCAN-CFD Second-Order Accurate Unstructured Grid Cell-Centered Finite-Volume Solver." In AIAA Scitech 2019 Forum. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2019. http://dx.doi.org/10.2514/6.2019-0127.
Full textWhite, Jeffery A., Hiroaki Nishikawa, and Robert A. Baurle. "A 3-D Nodal-Averaged Gradient Approach For Unstructured-Grid Cell-Centered Finite-Volume Methods For Application to Turbulent Hypersonic Flow." In AIAA Scitech 2020 Forum. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2020. http://dx.doi.org/10.2514/6.2020-0652.
Full textLee, Hyungro, Einkeun Kwak, and Seungsoo Lee. "Artificial Compressibility Method and Preconditioning Method for Solving Two Dimensional Incompressibile Flow." In ASME-JSME-KSME 2011 Joint Fluids Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/ajk2011-01007.
Full textMathur, Sanjay R., and Jayathi Y. Murthy. "A Multigrid Method for the Solution of Ion Transport Using the Poisson Nernst Planck Equations." In ASME 2007 InterPACK Conference collocated with the ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/ipack2007-33410.
Full textShan, Hua, and Sung-Eun Kim. "Numerical Study of Advection Schemes for Interface Capturing in a Volume of Fluid Method on Unstructured Meshes." In ASME-JSME-KSME 2011 Joint Fluids Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/ajk2011-04029.
Full textRaif, Markus, Jürgen F. Mayer, and Heinz Stetter. "Comparison of a TVD-Upwind Scheme and a Central Difference Scheme for Navier-Stokes Turbine Stage Flow Calculation." In ASME 1996 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-gt-031.
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