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Journal articles on the topic 'Structured block mesh'

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Author: Grafiati

Published: 20 July 2024

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1

Zhou, Yuxiang, Xiang Cai, Qingfeng Zhao, Zhoufang Xiao, and Gang Xu. "Quadrilateral Mesh Generation Method Based on Convolutional Neural Network." Information 14, no. 5 (May 4, 2023): 273. http://dx.doi.org/10.3390/info14050273.

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The frame field distributed inside the model region characterizes the singular structure features inside the model. These singular structures can be used to decompose the model region into multiple quadrilateral structures, thereby generating a block-structured quadrilateral mesh. For the generation of block-structured quadrilateral mesh for two-dimensional geometric models, a convolutional neural network model is proposed to identify the singular structure inside the model contained in the frame field. By training the network model with a large number of model region decomposition data obtained in advance, the model can identify the vectors of the frame field in the region located in the segmentation field. Then, the segmentation streamline is constructed from the annotation. Based on this, the geometric region is decomposed into several small regions, regions which are then discretized with quadrilateral mesh elements. Finally, through two geometric models, it is verified that the convolutional neural network model proposed in this study can effectively identify the singular structure inside the model to realize the model region decomposition and block-structured mesh generation.

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2

Schornbaum, Florian, and Ulrich Rüde. "Extreme-Scale Block-Structured Adaptive Mesh Refinement." SIAM Journal on Scientific Computing 40, no. 3 (January 2018): C358—C387. http://dx.doi.org/10.1137/17m1128411.

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3

Bandopadhyay, Somdeb, and Hsien Shang. "SADHANA: A Doubly Linked List-based Multidimensional Adaptive Mesh Refinement Framework for Solving Hyperbolic Conservation Laws with Application to Astrophysical Hydrodynamics and Magnetohydrodynamics." Astrophysical Journal Supplement Series 263, no. 2 (December 1, 2022): 32. http://dx.doi.org/10.3847/1538-4365/ac9279.

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Abstract We report the development of a nested block-structured adaptive mesh framework to solve multidimensional, time-dependent hyperbolic equations encountered in astrophysics. An approach based on a tabular list is used to construct variants of Hilbert space-filling curves in an iterative fashion to maintain the connectivity of locally refined mesh configurations using a doubly linked list. Modifications are made to conventional boundaries of computational blocks to aid the adaptive mesh. We also describe a well-defined, computationally efficient data structure to hold self-similar mesh units for this purpose. The flexibility of this code is demonstrated by the performance of various Riemann solvers implemented in this computational framework.

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4

Ding, Li, Zhiliang Lu, and Tongqing Guo. "An Efficient Dynamic Mesh Generation Method for Complex Multi-Block Structured Grid." Advances in Applied Mathematics and Mechanics 6, no. 01 (February 2014): 120–34. http://dx.doi.org/10.4208/aamm.2013.m199.

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AbstractAiming at a complex multi-block structured grid, an efficient dynamic mesh generation method is presented in this paper, which is based on radial basis functions (RBFs) and transfinite interpolation (TFI). When the object is moving, the multi-block structured grid would be changed. The fast mesh deformation is critical for numerical simulation. In this work, the dynamic mesh deformation is completed in two steps. At first, we select all block vertexes with known deformation as center points, and apply RBFs interpolation to get the grid deformation on block edges. Then, an arc-length-based TFI is employed to efficiently calculate the grid deformation on block faces and inside each block. The present approach can be well applied to both two-dimensional (2D) and three-dimensional (3D) problems. Numerical results show that the dynamic meshes for all test cases can be generated in an accurate and efficient manner.

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5

Ziegler, Udo. "Block-Structured Adaptive Mesh Refinement on Curvilinear-Orthogonal Grids." SIAM Journal on Scientific Computing 34, no. 3 (January 2012): C102—C121. http://dx.doi.org/10.1137/110843940.

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6

Deiterding, Ralf. "Block-structured Adaptive Mesh Refinement - Theory, Implementation and Application." ESAIM: Proceedings 34 (December 2011): 97–150. http://dx.doi.org/10.1051/proc/201134002.

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7

Zhang, Weiqun, Ann Almgren, Vince Beckner, John Bell, Johannes Blaschke, Cy Chan, Marcus Day, et al. "AMReX: a framework for block-structured adaptive mesh refinement." Journal of Open Source Software 4, no. 37 (May 12, 2019): 1370. http://dx.doi.org/10.21105/joss.01370.

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8

Hittinger, J. A. F., and J. W. Banks. "Block-structured adaptive mesh refinement algorithms for Vlasov simulation." Journal of Computational Physics 241 (May 2013): 118–40. http://dx.doi.org/10.1016/j.jcp.2013.01.030.

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9

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 (November 12, 2017): 476–87. http://dx.doi.org/10.1080/10618562.2017.1390085.

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10

Chen, Hao, Zhiliang Lu, and Tongqing Guo. "A Hybrid Dynamic Mesh Generation Method for Multi-Block Structured Grid." Advances in Applied Mathematics and Mechanics 9, no. 4 (January 18, 2017): 887–903. http://dx.doi.org/10.4208/aamm.2016.m1423.

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AbstractIn this paper, a hybrid dynamic mesh generation method for multi-block structured grid is presented based on inverse distance weighting (IDW) interpolation and transfinite interpolation (TFI). The major advantage of the algorithm is that it maintains the effectiveness of TFI, while possessing the ability to deal with multi-block structured grid from the IDW method. In this approach, dynamic mesh generation is made in two steps. At first, all domain vertexes with known deformation are selected as sample points and IDW interpolation is applied to get the grid deformation on domain edges. Then, an arc-length-based TFI is employed to efficiently calculate the grid deformation on block faces and inside each block. The present approach can be well applied to both two-dimensional (2D) and three-dimensional (3D) problems. The proposed method has been well-validated by several test cases. Numerical results show that dynamic meshes with high quality can be generated in an accurate and efficient manner.

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11

Jablonowski, Christiane, Michael Herzog, Joyce E. Penner, Robert C. Oehmke, Quentin F. Stout, Bram van Leer, and Kenneth G. Powell. "Block-Structured Adaptive Grids on the Sphere: Advection Experiments." Monthly Weather Review 134, no. 12 (December 1, 2006): 3691–713. http://dx.doi.org/10.1175/mwr3223.1.

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Abstract A spherical 2D adaptive mesh refinement (AMR) technique is applied to the so-called Lin–Rood advection algorithm, which is built upon a conservative and oscillation-free finite-volume discretization in flux form. The AMR design is based on two modules: a block-structured data layout and a spherical AMR grid library for parallel computer architectures. The latter defines and manages the adaptive blocks in spherical geometry, provides user interfaces for interpolation routines, and supports the communication and load-balancing aspects for parallel applications. The adaptive grid simulations are guided by user-defined adaptation criteria. Both statically and dynamically adaptive setups that start from a regular block-structured latitude–longitude grid are supported. All blocks are logically rectangular, self-similar, and independent data units that are split into four in the event of refinement requests, thereby doubling the horizontal resolution. Grid coarsenings reverse this refinement principle. Refinement and coarsening levels are constrained so that there is a uniform 2:1 mesh ratio at all fine–coarse-grid interfaces. The adaptive advection model is tested using three standard advection tests with increasing complexity. These include the transport of a cosine bell around the sphere, the advection of a slotted cylinder, and a smooth deformational flow that describes the roll-up of two vortices. The latter two examples exhibit very sharp edges and gradients that challenge not only the numerical scheme but also the AMR approach. The adaptive simulations show that all features of interest are reliably detected and tracked with high-resolution grids. These are steered by either a threshold- or gradient-based adaptation criterion that depends on the characteristics of the advected tracer field. The additional resolution clearly helps preserve the shape and amplitude of the transported tracer while saving computing resources in comparison to uniform-grid model runs.

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12

Armstrong, Cecil G., Harold J. Fogg, Christopher M. Tierney, and Trevor T. Robinson. "Common Themes in Multi-block Structured Quad/Hex Mesh Generation." Procedia Engineering 124 (2015): 70–82. http://dx.doi.org/10.1016/j.proeng.2015.10.123.

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13

Usui, Hideyuki, Saki Kito, Masanori Nunami, and Masaharu Matsumoto. "Application of Block-structured Adaptive Mesh Refinement to Particle Simulation." Procedia Computer Science 108 (2017): 2527–36. http://dx.doi.org/10.1016/j.procs.2017.05.255.

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14

Luitjens, J., and M. Berzins. "Scalable parallel regridding algorithms for block-structured adaptive mesh refinement." Concurrency and Computation: Practice and Experience 23, no. 13 (March 24, 2011): 1522–37. http://dx.doi.org/10.1002/cpe.1719.

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15

Guo, Tongqing, Hao Chen, and Zhiliang Lu. "An efficient predictor–corrector-based dynamic mesh method for multi-block structured grid with extremely large deformation and its applications." Modern Physics Letters B 32, no. 12n13 (May 10, 2018): 1840007. http://dx.doi.org/10.1142/s0217984918400079.

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Aiming at extremely large deformation, a novel predictor–corrector-based dynamic mesh method for multi-block structured grid is proposed. In this work, the dynamic mesh generation is completed in three steps. At first, some typical dynamic positions are selected and high-quality multi-block grids with the same topology are generated at those positions. Then, Lagrange interpolation method is adopted to predict the dynamic mesh at any dynamic position. Finally, a rapid elastic deforming technique is used to correct the small deviation between the interpolated geometric configuration and the actual instantaneous one. Compared with the traditional methods, the results demonstrate that the present method shows stronger deformation ability and higher dynamic mesh quality.

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16

Su, Xinrong. "Accurate and robust adaptive mesh refinement for aerodynamic simulation with multi-block structured curvilinear mesh." International Journal for Numerical Methods in Fluids 77, no. 12 (February 12, 2015): 747–66. http://dx.doi.org/10.1002/fld.4004.

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17

Weller, Hilary, Henry G. Weller, and Aimé Fournier. "Voronoi, Delaunay, and Block-Structured Mesh Refinement for Solution of the Shallow-Water Equations on the Sphere." Monthly Weather Review 137, no. 12 (December 1, 2009): 4208–24. http://dx.doi.org/10.1175/2009mwr2917.1.

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Abstract Alternative meshes of the sphere and adaptive mesh refinement could be immensely beneficial for weather and climate forecasts, but it is not clear how mesh refinement should be achieved. A finite-volume model that solves the shallow-water equations on any mesh of the surface of the sphere is presented. The accuracy and cost effectiveness of four quasi-uniform meshes of the sphere are compared: a cubed sphere, reduced latitude–longitude, hexagonal–icosahedral, and triangular–icosahedral. On some standard shallow-water tests, the hexagonal–icosahedral mesh performs best and the reduced latitude–longitude mesh performs well only when the flow is aligned with the mesh. The inclusion of a refined mesh over a disc-shaped region is achieved using either gradual Delaunay, gradual Voronoi, or abrupt 2:1 block-structured refinement. These refined regions can actually degrade global accuracy, presumably because of changes in wave dispersion where the mesh is highly nonuniform. However, using gradual refinement to resolve a mountain in an otherwise coarse mesh can improve accuracy for the same cost. The model prognostic variables are height and momentum collocated at cell centers, and (to remove grid-scale oscillations of the A grid) the mass flux between cells is advanced from the old momentum using the momentum equation. Quadratic and upwind biased cubic differencing methods are used as explicit corrections to a fast implicit solution that uses linear differencing.

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18

Jablonowski, Christiane, Robert C. Oehmke, and Quentin F. Stout. "Block-structured adaptive meshes and reduced grids for atmospheric general circulation models." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 367, no. 1907 (November 28, 2009): 4497–522. http://dx.doi.org/10.1098/rsta.2009.0150.

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Adaptive mesh refinement techniques offer a flexible framework for future variable-resolution climate and weather models since they can focus their computational mesh on certain geographical areas or atmospheric events. Adaptive meshes can also be used to coarsen a latitude–longitude grid in polar regions. This allows for the so-called reduced grid setups. A spherical, block-structured adaptive grid technique is applied to the Lin–Rood finite-volume dynamical core for weather and climate research. This hydrostatic dynamics package is based on a conservative and monotonic finite-volume discretization in flux form with vertically floating Lagrangian layers. The adaptive dynamical core is built upon a flexible latitude–longitude computational grid and tested in two- and three-dimensional model configurations. The discussion is focused on static mesh adaptations and reduced grids. The two-dimensional shallow water setup serves as an ideal testbed and allows the use of shallow water test cases like the advection of a cosine bell, moving vortices, a steady-state flow, the Rossby–Haurwitz wave or cross-polar flows. It is shown that reduced grid configurations are viable candidates for pure advection applications but should be used moderately in nonlinear simulations. In addition, static grid adaptations can be successfully used to resolve three-dimensional baroclinic waves in the storm-track region.

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19

Djambazov, Georgi S. "Zonal Method for Simultaneous Definition of Block-Structured Geometry and Mesh." Journal of Algorithms & Computational Technology 6, no. 1 (March 2012): 203–18. http://dx.doi.org/10.1260/1748-3018.6.1.203.

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20

Yamazaki, Hiroe, and Takehiko Satomura. "Non-hydrostatic atmospheric cut cell model on a block-structured mesh." Atmospheric Science Letters 13, no. 1 (August 22, 2011): 29–35. http://dx.doi.org/10.1002/asl.358.

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21

NATSUME, Yuta, Shohei NAGAHASHI, Yusuke SHIKADA, Daisuke SASAKI, and Kisa MATSUSHIMA. "Wake-Integral Region Estimation Using Deep Learning for Block-Structured Cartesian Mesh." Proceedings of Conference of Hokuriku-Shinetsu Branch 2021.58 (2021): E012. http://dx.doi.org/10.1299/jsmehs.2021.58.e012.

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22

NAGAHASHI, Shohei, Yuta NATSUME, Yusuke SHIKADA, Daisuke SASAKI, and Kisa MATSUSHIMA. "Wake-Integral Region Estimation Using Deep Learning for Block-Structured Cartesian Mesh." Proceedings of Conference of Hokuriku-Shinetsu Branch 2021.58 (2021): E011. http://dx.doi.org/10.1299/jsmehs.2021.58.e011.

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23

Lopes, Muller Moreira, Ralf Deiterding, Anna Karina Fontes Gomes, Odim Mendes, and Margarete O. Domingues. "An ideal compressible magnetohydrodynamic solver with parallel block-structured adaptive mesh refinement." Computers & Fluids 173 (September 2018): 293–98. http://dx.doi.org/10.1016/j.compfluid.2018.01.032.

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24

Sakai, Ryotaro, Daisuke Sasaki, Shigeru Obayashi, and Kazuhiro Nakahashi. "Wavelet-based data compression for flow simulation on block-structured Cartesian mesh." International Journal for Numerical Methods in Fluids 73, no. 5 (May 15, 2013): 462–76. http://dx.doi.org/10.1002/fld.3808.

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25

Brückler, Hendrik, and Marcel Campen. "Collapsing Embedded Cell Complexes for Safer Hexahedral Meshing." ACM Transactions on Graphics 42, no. 6 (December 5, 2023): 1–24. http://dx.doi.org/10.1145/3618384.

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We present a set of operators to perform modifications, in particular collapses and splits, in volumetric cell complexes which are discretely embedded in a background mesh. Topological integrity and geometric embedding validity are carefully maintained. We apply these operators strategically to volumetric block decompositions, so-called T-meshes or base complexes, in the context of hexahedral mesh generation. This allows circumventing the expensive and unreliable global volumetric remapping step in the versatile meshing pipeline based on 3D integer-grid maps. In essence, we reduce this step to simpler local cube mapping problems, for which reliable solutions are available. As a consequence, the robustness of the mesh generation process is increased, especially when targeting coarse or block-structured hexahedral meshes. We furthermore extend this pipeline to support feature alignment constraints, and systematically respect these throughout, enabling the generation of meshes that align to points, curves, and surfaces of special interest, whether on the boundary or in the interior of the domain.

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26

Dubey, Anshu, Ann Almgren, John Bell, Martin Berzins, Steve Brandt, Greg Bryan, Phillip Colella, et al. "A survey of high level frameworks in block-structured adaptive mesh refinement packages." Journal of Parallel and Distributed Computing 74, no. 12 (December 2014): 3217–27. http://dx.doi.org/10.1016/j.jpdc.2014.07.001.

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27

Chen, W. L., F. S. Lien, and M. A. Leschziner. "Local mesh refinement within a multi-block structured-grid scheme for general flows." Computer Methods in Applied Mechanics and Engineering 144, no. 3-4 (May 1997): 327–69. http://dx.doi.org/10.1016/s0045-7825(96)01187-5.

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28

Miniati, Francesco, and Phillip Colella. "Block structured adaptive mesh and time refinement for hybrid, hyperbolic+N-body systems." Journal of Computational Physics 227, no. 1 (November 2007): 400–430. http://dx.doi.org/10.1016/j.jcp.2007.07.035.

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29

Liu, Zhiqi, Jianhan Liang, and Yu Pan. "Construction of Thermodynamic Properties Look-Up Table with Block-Structured Adaptive Mesh Refinement Method." Journal of Thermophysics and Heat Transfer 28, no. 1 (January 2014): 50–58. http://dx.doi.org/10.2514/1.t4273.

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30

Ahusborde, E., and S. Glockner. "A 2D block-structured mesh partitioner for accurate flow simulations on non-rectangular geometries." Computers & Fluids 43, no. 1 (April 2011): 2–13. http://dx.doi.org/10.1016/j.compfluid.2010.07.009.

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31

Li, Weihao, and Jian Xia. "Efficient Shock Capturing Based on Parallel Adaptive Mesh Refinement Framework." Journal of Physics: Conference Series 2329, no. 1 (August 1, 2022): 012018. http://dx.doi.org/10.1088/1742-6596/2329/1/012018.

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Abstract Based on AMReX, a software framework for massively parallel, block-structured adaptive mesh refinement (AMR) applications and in combination with finite difference weighted essential non-oscillatory (WENO) method, a numerical procedure is developed to provide universal discontinuity capturing capability for inviscid, compressible flow. Test cases of one-dimensional and two-dimensional flows containing shock waves, contact discontinuities, flow instabilities, and their interactions are considered to validate the high resolution of AMR for characteristic flow structure under unsteady conditions. The current elaborate AMR-based code is proven to have superior efficiency relative to global refinement via experiments including different initial mesh intervals, refinement ratios at all levels, and. Evidence in executions with multiple processes and domain division sizes indicates its high parallel scalability. Thus, the application built on AMReX is promising for simulations of phenomena undergoing rapid local variation such as compressible turbulence and multiphase interactions.

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32

Zhang, Yaoxin, Mohammad Z. Al-Hamdan, and Xiaobo Chao. "Parallel Implicit Solvers for 2D Numerical Models on Structured Meshes." Mathematics 12, no. 14 (July 12, 2024): 2184. http://dx.doi.org/10.3390/math12142184.

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This paper presents the parallelization of two widely used implicit numerical solvers for the solution of partial differential equations on structured meshes, namely, the ADI (Alternating-Direction Implicit) solver for tridiagonal linear systems and the SIP (Strongly Implicit Procedure) solver for the penta-diagonal systems. Both solvers were parallelized using CUDA (Computer Unified Device Architecture) Fortran on GPGPUs (General-Purpose Graphics Processing Units). The parallel ADI solver (P-ADI) is based on the Parallel Cyclic Reduction (PCR) algorithm, while the parallel SIP solver (P-SIP) uses the wave front method (WF) following a diagonal line calculation strategy. To map the solution schemes onto the hierarchical block-threads framework of the CUDA on the GPU, the P-ADI solver adopted two mapping methods, one block thread with iterations (OBM-it) and multi-block threads (MBMs), while the P-SIP solver also used two mappings, one conventional mapping using effective WF lines (WF-e) with matrix coefficients and solution variables defined on original computational mesh, and a newly proposed mapping using all WF mesh (WF-all), on which matrix coefficients and solution variables are defined. Both the P-ADI and the P-SIP have been integrated into a two-dimensional (2D) hydrodynamic model, the CCHE2D (Center of Computational Hydroscience and Engineering) model, developed by the National Center for Computational Hydroscience and Engineering at the University of Mississippi. This study for the first time compared these two parallel solvers and their efficiency using examples and applications in complex geometries, which can provide valuable guidance for future uses of these two parallel implicit solvers in computational fluids dynamics (CFD). Both parallel solvers demonstrated higher efficiency than their serial counterparts on the CPU (Central Processing Unit): 3.73~4.98 speedup ratio for flow simulations, and 2.166~3.648 speedup ratio for sediment transport simulations. In general, the P-ADI solver is faster than but not as stable as the P-SIP solver; and for the P-SIP solver, the newly developed mapping method WF-all significantly improved the conventional mapping method WF-e.

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33

Resmini, A., J. Peter, and D. Lucor. "Mono-block and non-matching multi-block structured mesh adaptation based on aerodynamic functional total derivatives for RANS flow." International Journal for Numerical Methods in Fluids 83, no. 11 (September 21, 2016): 866–84. http://dx.doi.org/10.1002/fld.4296.

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34

Allen, C. B. "Multigrid multiblock hovering rotor solutions." Aeronautical Journal 108, no. 1083 (May 2004): 255–61. http://dx.doi.org/10.1017/s000192400000511x.

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AbstractThe effect of multigrid acceleration implemented within an upwind-biased Euler method for hovering rotor flows is presented. Previous work has considered multigrid convergence for structured single block rotor solutions. However, for forward flight simulation a multiblock approach is essential and, hence, the flow-solver has been extended to include multigrid acceleration within a multiblock solver. The requirement to capture the vortical wake development over several turns means a long numerical integration time is required for hovering rotors, and the solution (wake) away from the blade is significant. Hence, the solution evolution and convergence is different to a fixed wing case where convergence depends primarily on propagating errors away from the surface as quickly as possible, and multigrid acceleration is shown here to be less effective for hovering rotor flows. Previous single block simulations demonstrated that a simple multigridV-cycle was the most effective, smoothing in the decreasing mesh density direction only, with a relaxed trilinear prolongation operator. This is also shown to be the case for multiblock simulations. Results are presented for multigrid computations with 2, 3, and 4, mesh levels, and a CPU reduction of approximately 80% is demonstrated for 4 mesh levels.

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35

Wang, Yahui, Ming Xie, and Yu Ma. "Neutron transport solution of lattice Boltzmann method and streaming-based block-structured adaptive mesh refinement." Annals of Nuclear Energy 118 (August 2018): 249–59. http://dx.doi.org/10.1016/j.anucene.2018.04.013.

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36

FUKUSHIMA, Yuuma, Daisuke SASAKI, and Kazuhiro NAKAHASHI. "Code Development of Linearized Euler Equation on Block-Structured Cartesian Mesh Combined with Immersed Boundary Method." JOURNAL OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES 60, no. 1 (2012): 56–63. http://dx.doi.org/10.2322/jjsass.60.56.

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37

Mudalige, G. R., I. Z. Reguly, S. P. Jammy, C. T. Jacobs, M. B. Giles, and N. D. Sandham. "Large-scale performance of a DSL-based multi-block structured-mesh application for Direct Numerical Simulation." Journal of Parallel and Distributed Computing 131 (September 2019): 130–46. http://dx.doi.org/10.1016/j.jpdc.2019.04.019.

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38

Runnels, Brandon, Vinamra Agrawal, Weiqun Zhang, and Ann Almgren. "Massively parallel finite difference elasticity using block-structured adaptive mesh refinement with a geometric multigrid solver." Journal of Computational Physics 427 (February 2021): 110065. http://dx.doi.org/10.1016/j.jcp.2020.110065.

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39

Flaspoehler, Timothy, and Bojan Petrovic. "Contributon-Based Mesh-Reduction Methodology for Hybrid Deterministic-Stochastic Particle Transport Simulations Using Block-Structured Grids." Nuclear Science and Engineering 192, no. 3 (September 21, 2018): 254–74. http://dx.doi.org/10.1080/00295639.2018.1507185.

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40

Li, N., and M. A. Leschziner. "Large-eddy simulation of separated flow over a swept wing with approximate near-wall modelling." Aeronautical Journal 111, no. 1125 (November 2007): 689–97. http://dx.doi.org/10.1017/s0001924000004863.

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Abstract The paper investigates, by means of a simulation methodology, the flow separating from a 40 degrees backward-swept wing at 9 degrees incidence and Reynolds number of 210,000, based on the wing-root chord length. The Simulation corresponds to LDA, PIV and suction-side-topology measurements for the same geometry, conducted by other investigators specifically to provide validation data. The finest block-structured mesh contains 23·6 million nodes and is organised in 256 blocks to maximise mesh quality and facilitate parallel solution on multi-processor machines. The near-wall layer is resolved, to a thickness of about y + = 20, by means of parabolised URANS equations that include an algebraic eddy-viscosity model and from which the wall-shear stress is extracted to provide an unsteady boundary condition for the simulation. The numerical solution is in good agreement with the experimental behaviour over the 50-70% inboard portion of the span, but the simulation fails to resolve some complex features close to the wing tip, due to a premature leading-edge vortex breakdown and loss in vortex coherence. The comparisons and their discussion provide useful insight into various physical characteristics of this complex separated wing flow.

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41

Almeida, Jeferson Osmar de, Diomar Cesar Lobão, Cleyton Senior Stampa, and Gustavo Benitez Alvarez. "Multi-block technique applied to Navier-Stokes equations in two dimensions." Semina Ciências Exatas e Tecnológicas 39, no. 2 (December 29, 2018): 115. http://dx.doi.org/10.5433/1679-0375.2018v39n2p115.

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In this work, numerical solutions of the two-dimensional Navier-Stokes and Euler equations using explicit MacCormack method on multi-block structured mesh are presented for steady state and unsteady state compressible fluid flows. The multi-block technique and generalized coordinate system are used to develop a numerical solver which can be applied for a large range of compressible flow problems on complex geometries without modifying the governing equations and numerical method. Besides that the numerical method is based on a finite difference approach and the generalized coordinates introduced allow the application of the boundary conditions easily. The subsonic flow over a backward facing step and supersonic flow over a curved ramp are presented, and the results are compared with the experimental and numerical data.

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42

Shi, Weidong, Jianjun Xu, and Shi Shu. "An Adaptive Semi-Lagrangian Level-Set Method for Convection-Diffusion Equations on Evolving Interfaces." Advances in Applied Mathematics and Mechanics 9, no. 6 (November 28, 2017): 1364–82. http://dx.doi.org/10.4208/aamm.oa-2016-0052.

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AbstractA new Semi-Lagrangian scheme is proposed to discretize the surface convection-diffusion equation. The other involved equations including the the level-set convection equation, the re-initialization equation and the extension equation are also solved by S-L schemes. The S-L method removes both the CFL condition and the stiffness caused by the surface Laplacian, allowing larger time step than the Eulerian method. The method is extended to the block-structured adaptive mesh. Numerical examples are given to demonstrate the efficiency of the S-L method.

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Sen, Shuvam, Guillaume De Nayer, and Michael Breuer. "A fast and robust hybrid method for block-structured mesh deformation with emphasis on FSI-LES applications." International Journal for Numerical Methods in Engineering 111, no. 3 (January 16, 2017): 273–300. http://dx.doi.org/10.1002/nme.5465.

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Al-Marouf, M., and R. Samtaney. "An Embedded Ghost-Fluid Method for Compressible Flow in Complex Geometry." Defect and Diffusion Forum 366 (April 2016): 31–39. http://dx.doi.org/10.4028/www.scientific.net/ddf.366.31.

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We present an embedded ghost-fluid method for numerical solutions of the compressible Navier Stokes (CNS) equations in arbitrary complex domains. The PDE multidimensional extrapolation approach of Aslam [1] is used to reconstruct the solution in the ghost-fluid regions and impose boundary conditions at the fluid-solid interface. The CNS equations are numerically solved by the second order multidimensional upwind method of Colella [2] and Saltzman [3]. Block-structured adaptive mesh refinement implemented under the Chombo framework is utilized to reduce the computational cost while keeping high-resolution mesh around the embedded boundary and regions of high gradient solutions. Numerical examples with different Reynolds numbers for low and high Mach number flow will be presented. We compare our simulation results with other reported experimental and computational results. The significance and advantages of our implementation, which revolve around balancing between the solution accuracy and implementation difficulties, are briefly discussed as well.

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Roy, Christopher J., Jeffrey Payne, and Mary McWherter-Payne. "RANS Simulations of a Simplified Tractor/Trailer Geometry." Journal of Fluids Engineering 128, no. 5 (February 16, 2006): 1083–89. http://dx.doi.org/10.1115/1.2236133.

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Steady-state Reynolds-averaged Navier-Stokes (RANS) simulations are presented for the three-dimensional flow over a simplified tractor/trailer geometry at zero degrees yaw angle. The simulations are conducted using a multi-block, structured computational fluid dynamics (CFD) code. The turbulence closure model employed is the two-equation Menter k-ω model. The discretization error is estimated by employing two grid levels: a fine mesh of 20 million cells and a coarser mesh of 2.5 million cells. Simulation results are compared to experimental data obtained at the NASA-Ames 7×10ft wind tunnel. Quantities compared include vehicle drag, surface pressures, and time-averaged velocities in the trailer near wake. The results indicate that the RANS approach is able to accurately predict the surface pressure on the vehicle, with the exception of the base region. The pressure predictions in the base region are poor due to the inability of the RANS model to accurately capture the near-wake vortical structure. However, the gross pressure levels in the base region are in reasonable agreement with experiment, and thus the overall vehicle drag is well predicted.

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Fayed, Hassan, Mustafa Bukhari, and Saad Ragab. "Large-Eddy Simulation of a Hydrocyclone with an Air Core Using Two-Fluid and Volume-of-Fluid Models." Fluids 6, no. 10 (October 14, 2021): 364. http://dx.doi.org/10.3390/fluids6100364.

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Large-eddy simulations have been conducted for two-phase flow (water and air) in a hydrocyclone using Two-Fluid (Euler–Euler) and Volume-of-Fluid (VOF) models. Subgrid stresses are modeled using a dynamic eddy–viscosity model, and results are compared to those using the Smagorinsky model. The effects of grid resolutions on the mean flow and turbulence statistics have been thoroughly investigated. Five block-structured grids of 0.72, 1.47, 2.4, 3.81, and 7.38 million elements have been used for the simulations of Hsieh’s 75 mm hydrocyclone Mean velocity profiles and normal Reynolds stresses have been compared with experimental data. Results of the two-fluid model are in good agreement with those of the VOF model. A fine mesh in the axial and radial directions is necessary for capturing the turbulent vortical structure. Turbulence structures in the hydrocyclone are dominated by helical vortices around the air core. Energy spectra are analyzed at different points in the hydrocyclone, and regions of low turbulent kinetic energy are identified and attributed to stabilizing effects of the swirling velocity component.

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Fayed, Hassan, Mustafa Bukhari, and Saad Ragab. "Large-Eddy Simulation of a Hydrocyclone with an Air Core Using Two-Fluid and Volume-of-Fluid Models." Fluids 6, no. 10 (October 14, 2021): 364. http://dx.doi.org/10.3390/fluids6100364.

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Large-eddy simulations have been conducted for two-phase flow (water and air) in a hydrocyclone using Two-Fluid (Euler–Euler) and Volume-of-Fluid (VOF) models. Subgrid stresses are modeled using a dynamic eddy–viscosity model, and results are compared to those using the Smagorinsky model. The effects of grid resolutions on the mean flow and turbulence statistics have been thoroughly investigated. Five block-structured grids of 0.72, 1.47, 2.4, 3.81, and 7.38 million elements have been used for the simulations of Hsieh’s 75 mm hydrocyclone Mean velocity profiles and normal Reynolds stresses have been compared with experimental data. Results of the two-fluid model are in good agreement with those of the VOF model. A fine mesh in the axial and radial directions is necessary for capturing the turbulent vortical structure. Turbulence structures in the hydrocyclone are dominated by helical vortices around the air core. Energy spectra are analyzed at different points in the hydrocyclone, and regions of low turbulent kinetic energy are identified and attributed to stabilizing effects of the swirling velocity component.

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Huang, Xiaoyingjie, Jiabao Chen, Jun Zhang, Long Wang, and Yan Wang. "An Adaptive Mesh Refinement–Rotated Lattice Boltzmann Flux Solver for Numerical Simulation of Two and Three-Dimensional Compressible Flows with Complex Shock Structures." Symmetry 15, no. 10 (October 12, 2023): 1909. http://dx.doi.org/10.3390/sym15101909.

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An adaptive mesh refinement–rotated lattice Boltzmann flux solver (AMR-RLBFS) is presented to simulate two and three-dimensional compressible flows with complex shock structures. In the method, the RLBFS, which has a strong shock-capturing capability and can effectively eliminate the shock instability phenomenon, is applied to solve the flow filed by reconstructing the fluxes at each cell interface adaptively with the mesoscopic lattice Boltzmann model. To locally and dynamically improve the resolution of intricate shock structures and optimize the required computational resources, a block-structured adaptive mesh refinement (AMR) technique is introduced. The validity and effectiveness of the proposed method are confirmed through a range of two and three-dimensional numerical cases, including the shock tube problem, the four-wave Riemann problem, explosion within a rectangular box, and the vorticity induced by a shock. The results obtained using the AMR-RLBFS exhibit excellent agreement with published data and demonstrate high accuracy in capturing complex shock structures. The computational efficiency of the AMR-RLBFS can be also improved significantly compared to the RLBFS on uniform grids. Furthermore, the numerical outcomes underscore the capability of the AMR-RLBFS to eliminate shock instability effects while efficiently capturing a broader spectrum of small-scale vertical structures. These findings highlight the ability of AMR-RLBFS to improve the computational efficiency and capture intricate shock structures effectively, making it a valuable tool for studying a wide range of compressible flows from aerodynamics to astrophysics.

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St-Cyr, Amik, Christiane Jablonowski, John M. Dennis, Henry M. Tufo, and Stephen J. Thomas. "A Comparison of Two Shallow-Water Models with Nonconforming Adaptive Grids." Monthly Weather Review 136, no. 6 (June 1, 2008): 1898–922. http://dx.doi.org/10.1175/2007mwr2108.1.

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Abstract In an effort to study the applicability of adaptive mesh refinement (AMR) techniques to atmospheric models, an interpolation-based spectral element shallow-water model on a cubed-sphere grid is compared to a block-structured finite-volume method in latitude–longitude geometry. Both models utilize a nonconforming adaptation approach that doubles the resolution at fine–coarse mesh interfaces. The underlying AMR libraries are quad-tree based and ensure that neighboring regions can only differ by one refinement level. The models are compared via selected test cases from a standard test suite for the shallow-water equations, and via a barotropic instability test. These tests comprise the passive advection of a cosine bell and slotted cylinder, a steady-state geostrophic flow, a flow over an idealized mountain, a Rossby–Haurwitz wave, and the evolution of a growing barotropic wave. Both static and dynamics adaptations are evaluated, which reveal the strengths and weaknesses of the AMR techniques. Overall, the AMR simulations show that both models successfully place static and dynamic adaptations in local regions without requiring a fine grid in the global domain. The adaptive grids reliably track features of interests without visible distortions or noise at mesh interfaces. Simple threshold adaptation criteria for the geopotential height and the relative vorticity are assessed.

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Fukushima, Yuma, Daisuke Sasaki, and Kazuhiro Nakahashi. "Cartesian Mesh Linearized Euler Equations Solver for Aeroacoustic Problems around Full Aircraft." International Journal of Aerospace Engineering 2015 (2015): 1–18. http://dx.doi.org/10.1155/2015/706915.

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The linearized Euler equations (LEEs) solver for aeroacoustic problems has been developed on block-structured Cartesian mesh to address complex geometry. Taking advantage of the benefits of Cartesian mesh, we employ high-order schemes for spatial derivatives and for time integration. On the other hand, the difficulty of accommodating curved wall boundaries is addressed by the immersed boundary method. The resulting LEEs solver is robust to complex geometry and numerically efficient in a parallel environment. The accuracy and effectiveness of the present solver are validated by one-dimensional and three-dimensional test cases. Acoustic scattering around a sphere and noise propagation from the JT15D nacelle are computed. The results show good agreement with analytical, computational, and experimental results. Finally, noise propagation around fuselage-wing-nacelle configurations is computed as a practical example. The results show that the sound pressure level below the over-the-wing nacelle (OWN) configuration is much lower than that of the conventional DLR-F6 aircraft configuration due to the shielding effect of the OWN configuration.

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