Article
Computer Science, Software Engineering
J. Sarton, S. Zellmann, S. Demirci, U. Gudukbay, W. Alexandre-Barff, L. Lucas, J. M. Dischler, S. Wesner, I. Wald
Summary: In this paper, we review works on large-scale volume rendering that focus on hierarchical and adaptive mesh refinement representations, unstructured meshes, and compressed representations. Strategies such as out-of-core rendering and massive parallelism are discussed to cope with the increasing volume of data generated by supercomputers and acquisition devices. Emphasis is placed on the importance of data management in large-scale volume rendering systems.
COMPUTER GRAPHICS FORUM
(2023)
Article
Computer Science, Interdisciplinary Applications
Brandon Runnels, Vinamra Agrawal, Weiqun Zhang, Ann Almgren
Summary: Computationally solving the equations of elasticity is crucial for many materials science and mechanics simulations. While the finite element method is widely used for elasticity calculations, the need for adaptive mesh refinement methods like BSAMR becomes apparent for complex problems. BSAMR demonstrates good scaling and efficiency in handling variable topology problems in materials science simulations.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Engineering, Multidisciplinary
Finn-Christian Wickmann Hanssen, Jens Bloch Helmers, Marilena Greco, Yanlin Shao
Summary: This article proposes a three-dimensional numerical wave tank based on fully-nonlinear potential-flow theory, which can accurately simulate and study ocean waves and their interaction with marine structures. The governing Laplace equation for the velocity potential is solved using the harmonic polynomial cell method, and an adaptive grid refinement technique is introduced to improve computational speed and accuracy. The numerical results are in good agreement with nonlinear reference solutions, but there are discrepancies between the second-order theory and actual situations in long-crested irregular waves.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
Article
Computer Science, Software Engineering
Shuang Meng, Dan Zhou, Lin Bi, Xueliang Li, Canyan Luo, Hao Du
Summary: In this work, a powerful method for generating anisotropic Cartesian grids for complex 3D geometry is presented. The method addresses several challenges to achieve robustness and efficiency in mesh generation. It includes the generation of initial uniform grids, a modified fully threaded tree (FTT) data structure, and three criteria for ensuring reasonable neighborhood relations. Additionally, an adaptive mesh refinement strategy is developed. Experimental results demonstrate the superiority of the proposed method in terms of cell count, neighbor query runtime, total runtime, and memory consumption compared to the conventional method, as well as the superiority of the modified FTT data structure. A solution example is provided to validate the proposed strategy.
COMPUTER-AIDED DESIGN
(2023)
Article
Computer Science, Theory & Methods
Yuta Hasegawa, Takayuki Aoki, Hiromichi Kobayashi, Yasuhiro Idomura, Naoyuki Onodera
Summary: An aerodynamics simulation code based on the lattice Boltzmann method was implemented and evaluated on GPU-based supercomputers. A new tree cutting approach was proposed to improve the bottleneck caused by costly halo data communication, achieving significant speedup and efficiency improvements in scaling tests.
PARALLEL COMPUTING
(2021)
Article
Physics, Applied
Tohid Shahsavarian, Yang Cao
Summary: A multiscale-multiphysics model is developed to investigate different patterns of negative discharge and discuss the challenges in finite-element-based streamer models. The model demonstrates robustness and efficiency through three different meshing techniques and achieves outstanding spatial resolution in representing streamer propagation. The extension of the model for positive streamer representation is discussed in the second part of this series, along with a thorough comparison with prior experimental results.
JOURNAL OF PHYSICS D-APPLIED PHYSICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Han Peng, Ralf Deiterding
Summary: A generic solver in a parallel Cartesian adaptive mesh refinement framework is extended to simulate detonations on three-dimensional structured curvilinear meshes. The new solver can efficiently simulate high-speed reactive flows by utilizing a curvilinear mapping with mesh adaptation. The numerical accuracy, conservation, and robustness of the simulations are verified through suitable benchmark tests.
COMPUTER PHYSICS COMMUNICATIONS
(2023)
Article
Engineering, Ocean
Yunxing Zhang, Shan Ma, Kangping Liao, Wenyang Duan
Summary: In this study, a two-dimensional Geometric Multigrid (GMG) model is developed for the Poisson equation with interface on a Structured Adaptive Mesh Refinement (SAMR) grid. Special attention is given to flux conservation on the coarse-fine interface, and the Galerkin Coarse grid Approximation (GCA) method is used to enhance robustness and efficiency. The model shows 2nd-order accuracy and acceptable efficiency even with density ratios reaching 104, with comparison of point and line relaxation iterations for performance improvement.
APPLIED OCEAN RESEARCH
(2021)
Article
Computer Science, Interdisciplinary Applications
Erwan Deriaz
Summary: In this paper, a numerical method with 2pth-order accuracy for solving the d-dimensional Poisson equation is proposed in the Adaptive Mesh Refinement framework. Compact finite differences are used to provide high-order compact stencils suitable for the AMR framework. The method is compared to other existing methods and tested in extensive numerical experiments.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Computer Science, Software Engineering
Hendrik Brueckler, Ojaswi Gupta, Manish Mandad, Marcel Campen
Summary: The motorcycle graph, widely used in 2D shape and surface decomposition, has been extended to the three-dimensional volumetric setting, ensuring important decomposition properties. Algorithms are proposed for constructing the 3D motorcycle complex, applied in examples of hexahedral mesh generation and volumetric T-spline construction.
COMPUTER GRAPHICS FORUM
(2022)
Article
Computer Science, Interdisciplinary Applications
Gaohua Li, Fuxin Wang
Summary: This paper introduces a novel CFD framework based on the dynamic overset grid method for flow simulation of complex configurations. The framework can automatically instantiate multiple fully functional CFD solvers to solve flow fields on the meshes of all components simultaneously, allowing for effective handling of complex topologies and numerical simulations of array configurations.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Engineering, Multidisciplinary
Vinamra Agrawal, Brandon Runnels
Summary: Fracture is a common phenomenon in most composite engineering structures and is often the responsible mechanism for catastrophic failure. A novel numerical framework for implementing hybrid phase field fracture in heterogeneous materials is proposed in this study, and applied to simple heterogeneous structures such as laminates, wavy interfaces, and circular inclusions. Parameter studies were conducted to identify regions of behavior under varying geometries and relative fracture energy release rates.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Water Resources
Stephan de Hoop, Elodie Jones, Denis Voskov
Summary: The text discusses the complexity introduced by the coupled description of flow and thermal-reactive transport, particularly in heterogeneous subsurface reservoirs. It highlights the importance of improving the transport solution in thermal-compositional flow applications, and proposes an Adaptive Mesh Refinement framework for geothermal reservoir simulation. The framework utilizes a multi-level connection list to dynamically adapt the grid and enhance simulation performance for challenging geothermal applications.
ADVANCES IN WATER RESOURCES
(2021)
Article
Computer Science, Interdisciplinary Applications
Yadong Zeng, Anqing Xuan, Johannes Blaschke, Lian Shen
Summary: A unified adaptive level set framework for incompressible two-phase flows is developed using a multi-level collocated grid, along with synchronization operations and a multilevel re-initialization method. The framework shows good numerical implementation and mass conservation, successfully resolving various canonical problems. Additionally, efficiency and significant speedup are demonstrated in a three-dimensional dam breaking simulation.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Mathematics, Applied
Giuseppe Orlando, Tommaso Benacchio, Luca Bonaventura
Summary: We present an accurate and efficient solver for atmospheric dynamics simulations that allows non-conforming mesh refinement. The model equations are the conservative Euler equations for compressible flows. The numerical method is based on an h-adaptive Discontinuous Galerkin spatial discretization and a second order Additive Runge Kutta IMEX method for time discretization, specifically designed for low Mach regimes. The solver is implemented in the deal.II library framework, utilizing its mesh refinement capabilities for improved efficiency. Numerical experiments based on classical benchmarks for atmosphere dynamics demonstrate the properties and advantages of the proposed method.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2023)
