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Journal articles on the topic 'Cartesian mesh'

Author: Grafiati

Published: 4 June 2021

Last updated: 3 February 2022

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1

Fang, Hong, Chunye Gong, Caihui Yu, et al. "Efficient mesh deformation based on Cartesian background mesh." Computers & Mathematics with Applications 73, no. 1 (2017): 71–86. http://dx.doi.org/10.1016/j.camwa.2016.10.023.

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2

Ma, Tiechang, Ping Li, and Tianbao Ma. "A Three-Dimensional Cartesian Mesh Generation Algorithm Based on the GPU Parallel Ray Casting Method." Applied Sciences 10, no. 1 (2019): 58. http://dx.doi.org/10.3390/app10010058.

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Robust and efficient Cartesian mesh generation for large-scale scene is of great significance for fluid dynamics simulation and collision detection. High-quality and large-scale mesh generation task in a personal computer is hard to achieve. In this paper, a parallel Cartesian mesh generation algorithm based on graphics processing unit (GPU) is proposed. The proposed algorithm is optimized based on the traditional ray casting method in computer graphics, and is more efficient and stable for large-scale Cartesian mesh generation. In the process of mesh generation, the geometries represented by

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3

Kolobov, Vladimir, and Robert Arslanbekov. "Electrostatic PIC with adaptive Cartesian mesh." Journal of Physics: Conference Series 719 (May 2016): 012020. http://dx.doi.org/10.1088/1742-6596/719/1/012020.

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4

Nikandrov, Dmitry S., Robert R. Arslanbekov, and Vladimir I. Kolobov. "Streamer Simulations With Dynamically Adaptive Cartesian Mesh." IEEE Transactions on Plasma Science 36, no. 4 (2008): 932–33. http://dx.doi.org/10.1109/tps.2008.924533.

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5

OUCHI, Kentaro, Tsubasa IWAFUNE, Masato OKAMOTO, and Daisuke SASAKI. "Cartesian-Mesh CFD for Backward Facing Step Problem." Proceedings of Conference of Hokuriku-Shinetsu Branch 2019.56 (2019): H024. http://dx.doi.org/10.1299/jsmehs.2019.56.h024.

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6

Liu, Gao-lian, and Xiao-wei Li. "Mesh free method based on local cartesian frame." Applied Mathematics and Mechanics 27, no. 1 (2006): 1–6. http://dx.doi.org/10.1007/s10483-006-0101-1.

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7

BEN-ASHER, YOSI. "THE CARTESIAN PRODUCT PROBLEM AND IMPLEMENTING PRODUCTION SYSTEMS ON RECONFIGURABLE MESHES." Parallel Processing Letters 05, no. 01 (1995): 49–61. http://dx.doi.org/10.1142/s0129626495000060.

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Let A and B be two groups of up to n elements distributed on the first row of an n × n reconfigurable mesh, and CA,B a subset of the cartesian product A × B satisfying some unknown condition C. Only one broadcasting step is needed in order to compute CA,B's elements. However, the problem of moving CA,B's elements to the first row in optimal time (so that they can be further processed) is not trivial. The conditional cartesian product (CCP) problem is to move CA,B's elements to the first row in [Formula: see text] steps. This requires optimizing the cartesian product operation such that CA,B's

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8

SHU, CHANG, and JIE WU. "AN EFFICIENT LATTICE BOLTZMANN METHOD FOR THE APPLICATION ON NON-UNIFORM CARTESIAN MESH." Modern Physics Letters B 24, no. 13 (2010): 1275–78. http://dx.doi.org/10.1142/s0217984910023414.

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An efficient lattice Boltzmann method (LBM) on non-uniform Cartesian mesh is presented in this work. In the standard LBM, the uniform mesh is used. To well capture the boundary layer and in the meantime, to save computational effort, many efforts have been made to improve the LBM so that it can be implemented on the non-uniform mesh. On the other hand, LBM has been combined with other numerical schemes to simulate complex flows recently. To solve immersed boundary (IB) problem efficiently, a new version of LBM on non-uniform Cartesian mesh is proposed in this study. A second-order local interp

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9

Lin, Tao, Yanping Lin, and Xu Zhang. "A Method of Lines Based on Immersed Finite Elements for Parabolic Moving Interface Problems." Advances in Applied Mathematics and Mechanics 5, no. 04 (2013): 548–68. http://dx.doi.org/10.4208/aamm.13-13s11.

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AbstractThis article extends the finite element method of lines to a parabolic initial boundary value problem whose diffusion coefficient is discontinuous across an interface that changes with respect to time. The method presented here uses immersed finite element (IFE) functions for the discretization in spatial variables that can be carried out over a fixed mesh (such as a Cartesian mesh if desired), and this feature makes it possible to reduce the parabolic equation to a system of ordinary differential equations (ODE) through the usual semi-discretization procedure. Therefore, with a suitab

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10

Luebbers, R. "Three-dimensional Cartesian-mesh finite-difference time-domain codes." IEEE Antennas and Propagation Magazine 36, no. 6 (1994): 66–71. http://dx.doi.org/10.1109/74.370522.

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11

MIYAZAKI, Sayaka, and Daisuke SASAKI. "Numerical Analysis of Detached Shock Wave by Cartesian Mesh." Proceedings of Conference of Hokuriku-Shinetsu Branch 2020.57 (2020): N012. http://dx.doi.org/10.1299/jsmehs.2020.57.n012.

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12

Misaka, Takashi, Daisuke Sasaki, and Shigeru Obayashi. "Adaptive mesh refinement and load balancing based on multi-level block-structured Cartesian mesh." International Journal of Computational Fluid Dynamics 31, no. 10 (2017): 476–87. http://dx.doi.org/10.1080/10618562.2017.1390085.

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13

Kuczyński, Paweł, and Ryszard Białecki. "Radiation heat transfer model using Monte Carlo ray tracing method on hierarchical ortho-Cartesian meshes and non-uniform rational basis spline surfaces for description of boundaries." Archives of Thermodynamics 35, no. 2 (2014): 65–92. http://dx.doi.org/10.2478/aoter-2014-0014.

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Abstract The paper deals with a solution of radiation heat transfer problems in enclosures filled with nonparticipating medium using ray tracing on hierarchical ortho-Cartesian meshes. The idea behind the approach is that radiative heat transfer problems can be solved on much coarser grids than their counterparts from computational fluid dynamics (CFD). The resulting code is designed as an add-on to OpenFOAM, an open-source CFD program. Ortho-Cartesian mesh involving boundary elements is created based upon CFD mesh. Parametric non-uniform rational basis spline (NURBS) surfaces are used to defi

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14

Liu, Yan-Hua, and Hao Gu. "On the research of flow around obstacle using the viscous Cartesian grid technique." Thermal Science 16, no. 5 (2012): 1488–91. http://dx.doi.org/10.2298/tsci1205488l.

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A new 2-D viscous Cartesian grid is proposed in current research. It is a combination of the existent body-fitted grid and Cartesian grid technology. On the interface of the two different type of grid, a fined triangular mesh is used to connect the two grids. Tests with flow around the cylinder and aerofoil NACA0012 show that the proposed scheme is easy for implement with high accuracy.

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15

Han, Myung-Ryoon, and Hyung-Teak Ahn. "Vortex-Induced Vibration of Simple Slender Structure Using Cartesian Mesh." Journal of the Society of Naval Architects of Korea 48, no. 3 (2011): 260–66. http://dx.doi.org/10.3744/snak.2011.48.3.260.

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16

Aftosmis, M. J., M. J. Berger, and J. E. Melton. "Robust and Efficient Cartesian Mesh Generation for Component-Based Geometry." AIAA Journal 36, no. 6 (1998): 952–60. http://dx.doi.org/10.2514/2.464.

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17

SHINTANI, Tetsuya. "AN UNSTRUCTURED-CARTESIAN HYDRODYNAMIC SIMULATOR WITH LOCAL MESH REFINEMENT TECHNIQUE." Journal of Japan Society of Civil Engineers, Ser. B1 (Hydraulic Engineering) 73, no. 4 (2017): I_967—I_972. http://dx.doi.org/10.2208/jscejhe.73.i_967.

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18

Arakawa, Chuichi, and Ikuo Toyoda. "Analysis of Incompressible Flow Using an Adaptive Cartesian Mesh Method." Proceedings of the JSME annual meeting 2000.4 (2000): 241–42. http://dx.doi.org/10.1299/jsmemecjo.2000.4.0_241.

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19

NAGANUMA, Ryuta, Daisuke SASAKI, and Shun Takahashi. "Flow Analysis of Heaving Flat Plate by Cartesian Mesh CFD." Proceedings of Conference of Hokuriku-Shinetsu Branch 2020.57 (2020): N014. http://dx.doi.org/10.1299/jsmehs.2020.57.n014.

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20

Ziegler, Udo. "A three-dimensional Cartesian adaptive mesh code for compressible magnetohydrodynamics." Computer Physics Communications 116, no. 1 (1999): 65–77. http://dx.doi.org/10.1016/s0010-4655(98)00139-8.

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21

YOSHIDA, Takashi, Toshihiko IKEDA, and Shouichiro IIO. "3106 Calculations of jet-edge flow using Cartesian Mesh Method." Proceedings of The Computational Mechanics Conference 2005.18 (2005): 205–6. http://dx.doi.org/10.1299/jsmecmd.2005.18.205.

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22

Aftosmis, M. J., M. J. Berger, and J. E. Melton. "Robust and efficient Cartesian mesh generation for component-based geometry." AIAA Journal 36 (January 1998): 952–60. http://dx.doi.org/10.2514/3.13918.

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23

DeZeeuw, Darren, and Kenneth G. Powell. "An Adaptively Refined Cartesian Mesh Solver for the Euler Equations." Journal of Computational Physics 104, no. 1 (1993): 56–68. http://dx.doi.org/10.1006/jcph.1993.1007.

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24

ISHIDA, Takashi, Shun TAKAHASHI, and Kazuhiro NAKAHASHI. "Efficient and Robust Cartesian Mesh Generation for Building-Cube Method." Journal of Computational Science and Technology 2, no. 4 (2008): 435–46. http://dx.doi.org/10.1299/jcst.2.435.

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25

Iwafune, Tsubasa, Daisuke Sasaki, Hidemi Toh, and Tatsuya Ishii. "Numerical Simulation of 2D Grazing Flow using Cartesian-mesh CFD." Proceedings of The Computational Mechanics Conference 2017.30 (2017): 216. http://dx.doi.org/10.1299/jsmecmd.2017.30.216.

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26

Kamkar, S. J., A. M. Wissink, V. Sankaran, and A. Jameson. "Feature-driven Cartesian adaptive mesh refinement for vortex-dominated flows." Journal of Computational Physics 230, no. 16 (2011): 6271–98. http://dx.doi.org/10.1016/j.jcp.2011.04.024.

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27

Nemec, Marian, and Michael J. Aftosmis. "Adjoint sensitivity computations for an embedded-boundary Cartesian mesh method." Journal of Computational Physics 227, no. 4 (2008): 2724–42. http://dx.doi.org/10.1016/j.jcp.2007.11.018.

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28

Cai, Qing-dong. "Explicit formulations and performance of LSFD method on Cartesian mesh." Applied Mathematics and Mechanics 30, no. 2 (2009): 183–96. http://dx.doi.org/10.1007/s10483-009-0206-z.

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29

De Zeeuw, Darren, and Kenneth G. Powell. "An adaptively-refined Cartesian mesh solver for the Euler equations." Journal of Computational Physics 101, no. 2 (1992): 453–54. http://dx.doi.org/10.1016/0021-9991(92)90033-u.

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30

Ogawa, Takanobu, and Elaine S. Oran. "Flux-Corrected Transport Algorithms for an Adaptively Refined Cartesian Mesh." AIAA Journal 45, no. 1 (2007): 200–213. http://dx.doi.org/10.2514/1.23587.

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31

Di Angelo, Luca Di, Francesco Duronio, Angelo De De Vita, and Andrea Di Di Mascio. "Cartesian Mesh Generation with Local Refinement for Immersed Boundary Approaches." Journal of Marine Science and Engineering 9, no. 6 (2021): 572. http://dx.doi.org/10.3390/jmse9060572.

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In this paper, an efficient and robust Cartesian Mesh Generation with Local Refinement for an Immersed Boundary Approach is proposed, whose key feature is the capability of high Reynolds number simulations by the use of wall function models, bypassing the need for accurate boundary layer discretization. Starting from the discrete manifold model of the object to be analyzed, the proposed model generates Cartesian adaptive grids for a CFD simulation, with minimal user interactions; the most innovative aspect of this approach is that the automatic generation is based on the segmentation of the su

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32

Takeda, Yuki, Kazuyuki Ueno, Tatsuya Ishikawa, and Yuta Takahashi. "Prediction Capability of Cartesian Cut-Cell Method with a Wall-Stress Model Applied to High Reynolds Number Flows." Applied Sciences 10, no. 15 (2020): 5050. http://dx.doi.org/10.3390/app10155050.

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The Cartesian cut-cell method is one of the most promising methods for computational fluid dynamics due to its sharp interface treatment. However, the Cartesian cut-cell method and other Cartesian mesh solvers have difficulty with concentrating grid to boundary layers. The wall-modelling of shear stress is one of the most effective methods to reduce computational grids in boundary layers. This study investigated the applicability of a wall-stress model to the Cartesian cut-cell method. In the numerical simulations of the flow around a triangular column, Cartesian cut-cell simulation with the w

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33

Anand, Tarun, and Phalguni Gupta. "A Selection Algorithm for X + Y on Mesh." Parallel Processing Letters 08, no. 03 (1998): 363–70. http://dx.doi.org/10.1142/s0129626498000377.

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This paper presents a selection algorithm for finding the k-th largest element in the cartesian sum of two sets X and Y, each of size n, on a mesh connected model. The algorithm has a time complexity of [Formula: see text], using P processors, where P < n2. The algorithm is adaptive but [Formula: see text] away from cost optimality.

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34

Nonomura, Taku, and Junya Onishi. "A Comparative Study on Evaluation Methods of Fluid Forces on Cartesian Grids." Mathematical Problems in Engineering 2017 (2017): 1–15. http://dx.doi.org/10.1155/2017/8314615.

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We investigate the accuracy and the computational efficiency of the numerical schemes for evaluating fluid forces in Cartesian grid systems. A comparison is made between two different types of schemes, namely, polygon-based methods and mesh-based methods, which differ in the discretization of the surface of the object. The present assessment is intended to investigate the effects of the Reynolds number, the object motion, and the complexity of the object surface. The results show that the mesh-based methods work as well as the polygon-based methods, even if the object surface is discretized in

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35

Skamarock, William C., Joseph B. Klemp, Michael G. Duda, Laura D. Fowler, Sang-Hun Park, and Todd D. Ringler. "A Multiscale Nonhydrostatic Atmospheric Model Using Centroidal Voronoi Tesselations and C-Grid Staggering." Monthly Weather Review 140, no. 9 (2012): 3090–105. http://dx.doi.org/10.1175/mwr-d-11-00215.1.

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Abstract The formulation of a fully compressible nonhydrostatic atmospheric model called the Model for Prediction Across Scales–Atmosphere (MPAS-A) is described. The solver is discretized using centroidal Voronoi meshes and a C-grid staggering of the prognostic variables, and it incorporates a split-explicit time-integration technique used in many existing nonhydrostatic meso- and cloud-scale models. MPAS can be applied to the globe, over limited areas of the globe, and on Cartesian planes. The Voronoi meshes are unstructured grids that permit variable horizontal resolution. These meshes allow

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36

LIU, JIANMING, NING ZHAO, and OU HU. "GHOST-CELL METHOD FOR INVISCID THREE-DIMENSIONAL FLOWS WITH MOVING BODY ON CARTESIAN GRIDS." Modern Physics Letters B 23, no. 03 (2009): 277–80. http://dx.doi.org/10.1142/s0217984909018199.

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This paper depicts a ghost cell method to solve the three dimensional compressible time-dependent Euler equations using Cartesian grids for static or moving bodies. In this method, there is no need for special treatment corresponding to cut cells, which complicate other Cartesian mesh methods, and the method avoids the small cell problem. As an application, we present some numerical results for a special moving body using this method, which demonstrates the efficiency of the proposed method.

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37

Tölke, Jonas, Manfred Krafczyk, Manuel Schulz, Ernst Rank, and Rodolfo Berrios. "Implicit discretization and nonuniform mesh refinement approaches for FD discretizations of LBGK Models." International Journal of Modern Physics C 09, no. 08 (1998): 1143–57. http://dx.doi.org/10.1142/s0129183198001059.

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After a short discussion of recent discretization techniques for the lattice-Boltzmann equations we motivate and discuss some alternative approaches using implicit, nonuniform FD discretization and mesh refinement techniques. After presenting results of a stability analysis we use an implicit approach to simulate a boundary layer test problem. The numerical results compare well to the reference solution when using strongly refined meshes. Some basic ideas for a nonuniform mesh refinement (with non-cartesian mesh topology) are introduced using the standard discretization procedure of alternatin

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38

Bergmann, M., J. Hovnanian, and A. Iollo. "An Accurate Cartesian Method for Incompressible Flows with Moving Boundaries." Communications in Computational Physics 15, no. 5 (2014): 1266–90. http://dx.doi.org/10.4208/cicp.220313.111013a.

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AbstractAn accurate cartesian method is devised to simulate incompressible viscous flows past an arbitrary moving body. The Navier-Stokes equations are spatially discretized onto a fixed Cartesian mesh. The body is taken into account via the ghost-cell method and the so-called penalty method, resulting in second-order accuracy in velocity. The accuracy and the efficiency of the solver are tested through two-dimensional reference simulations. To show the versatility of this scheme we simulate a three-dimensional self propelled jellyfish prototype.

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39

Shu, Kembun, Yoshiharu Tamaki, and Taro Imamura. "2D Turbulent Flow Analysis around a 30P30N Airfoil using Adaptive Mesh Refinement on Hierarchical Cartesian Mesh." JOURNAL OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES 68, no. 2 (2020): 82–88. http://dx.doi.org/10.2322/jjsass.68.82.

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40

CHETVERUSHKIN, B. N., N. G. CHURBANOVA, M. A. TRAPEZNIKOVA, A. A. SUKHINOV, and A. A. MALINOVSKIJ. "Adaptive Cartesian Mesh Refinement For Simulating Multiphase Lows In Porous Media." Computational Methods in Applied Mathematics 8, no. 2 (2008): 101–15. http://dx.doi.org/10.2478/cmam-2008-0007.

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AbstractThis paper considers two-dimensional hierarchical locally-refined rect-angular meshes with dynamic adaptation to the solution. A parallel algorithm with dynamic load balancing has been developed. Adaptive meshes have been used for the problem of passive contaminant transport in an oil-bearing stratum at water flooding. A model neglecting the capillary and gravity forces (the Buckley — Leverett model) has been used.

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41

IWAFUNE, Tsubasa, Takaya KOJIMA, Daisuke SASAKI, Hidemi TOH, and Tatsuya ISHII. "Unsteady Flow Analysis of Cavity Flow Using 2D Cartesian-mesh CFD." Proceedings of Conference of Hokuriku-Shinetsu Branch 2017.54 (2017): H021. http://dx.doi.org/10.1299/jsmehs.2017.54.h021.

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42

MIZUNO, Yuta, Daisuke SASAKI, and Shun TAKAHASHI. "Flow Analysis of Small Deformation Object by Using Cartesian Mesh Method." Proceedings of Conference of Hokuriku-Shinetsu Branch 2020.57 (2020): N013. http://dx.doi.org/10.1299/jsmehs.2020.57.n013.

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43

Ogawa, T., and E. S. Oran. "631 Flux-Corrected Transport Algorithms for an Adaptively Refined Cartesian Mesh." Proceedings of the JSME annual meeting 2005.1 (2005): 87–88. http://dx.doi.org/10.1299/jsmemecjo.2005.1.0_87.

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44

Coirier, William J., and Kenneth G. Powell. "An Accuracy Assessment of Cartesian-Mesh Approaches for the Euler Equations." Journal of Computational Physics 117, no. 1 (1995): 121–31. http://dx.doi.org/10.1006/jcph.1995.1050.

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45

Keats, W. A., and F. S. Lien. "Two-dimensional anisotropic Cartesian mesh adaptation for the compressible Euler equations." International Journal for Numerical Methods in Fluids 46, no. 11 (2004): 1099–125. http://dx.doi.org/10.1002/fld.780.

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46

Jahangirian, A., and M. Y. Hashemi. "Adaptive Cartesian grid with mesh-less zones for compressible flow calculations." Computers & Fluids 54 (January 2012): 10–17. http://dx.doi.org/10.1016/j.compfluid.2011.08.010.

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47

Hasbestan, Jaber J., and Inanc Senocak. "Binarized-octree generation for Cartesian adaptive mesh refinement around immersed geometries." Journal of Computational Physics 368 (September 2018): 179–95. http://dx.doi.org/10.1016/j.jcp.2018.04.039.

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48

Shragge, Jeffrey. "Solving the 3D acoustic wave equation on generalized structured meshes: A finite-difference time-domain approach." GEOPHYSICS 79, no. 6 (2014): T363—T378. http://dx.doi.org/10.1190/geo2014-0172.1.

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The key computational kernel of most advanced 3D seismic imaging and inversion algorithms used in exploration seismology involves calculating solutions of the 3D acoustic wave equation, most commonly with a finite-difference time-domain (FDTD) methodology. Although well suited for regularly sampled rectilinear computational domains, FDTD methods seemingly have limited applicability in scenarios involving irregular 3D domain boundary surfaces and mesh interiors best described by non-Cartesian geometry (e.g., surface topography). Using coordinate mapping relationships and differential geometry,

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49

OGAWA, Takanobu. "A Mesh Generation Method for an Adaptive Cartesian Mesh (A Fast Algorithm to Detect the Surface Intersection)." Transactions of the Japan Society of Mechanical Engineers Series B 70, no. 690 (2004): 340–47. http://dx.doi.org/10.1299/kikaib.70.340.

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50

GOVINDARAJAN, V., H. S. UDAYKUMAR, and K. B. CHANDRAN. "FLOW DYNAMIC COMPARISON BETWEEN RECESSED HINGE AND OPEN PIVOT BI-LEAFLET HEART VALVE DESIGNS." Journal of Mechanics in Medicine and Biology 09, no. 02 (2009): 161–76. http://dx.doi.org/10.1142/s0219519409002912.

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The flow dynamics through the peripheral and hinge regions of a bi-leaflet mechanical heart valve are complex and result in abnormally high shear stresses particularly during the closing phase of the valve function. It has been observed that the late stages of closure are more significant in the dynamics of platelet activation; therefore, the later stages of closure are simulated by solving the two-dimensional Navier–Stokes equations using an Eulerian Levelset-based sharp interface Cartesian grid method. Using a fixed Cartesian mesh incorporating local mesh refinement for solution accuracy and

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