A boundary focused quadrilateral mesh generation algorithm for multi-material structures

Yan, Litan; Xing, Huilin

doi:10.1016/j.jcp.2012.08.042

Cited by 12 publications

(5 citation statements)

References 33 publications

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“…The common tetrahedron generation method is to revise the tetrahedrons through the iterative processing. One class of methods are to divide the voxels of the MRI to tetrahedrons according to the generation quality (Liu and Xing, 2013). But it usually results in the loss of the original image information because of the lack of the boundary restriction conditions.…”

Section: Methodsmentioning

confidence: 99%

A novel cortical thickness estimation method based on volumetric Laplace–Beltrami operator and heat kernel

Wang

Zhang

et al. 2015

Medical Image Analysis

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Cortical thickness estimation in magnetic resonance imaging (MRI) is an important technique for research on brain development and neurodegenerative diseases. This paper presents a heat kernel based cortical thickness estimation algorithm, which is driven by the graph spectrum and the heat kernel theory, to capture the grey matter geometry information from the in vivo brain magnetic resonance (MR) images. First, we construct a tetrahedral mesh that matches the MR images and reflects the inherent geometric characteristics. Second, the harmonic field is computed by the volumetric Laplace-Beltrami operator and the direction of the steamline is obtained by tracing the maximum heat transfer probability based on the heat kernel diffusion. Thereby we can calculate the cortical thickness information between the point on the pial and white matter surfaces. The new method relies on intrinsic brain geometry structure and the computation is robust and accurate. To validate our algorithm, we apply it to study the thickness differences associated with Alzheimer’s disease (AD) and mild cognitive impairment (MCI) on the Alzheimer’s Disease Neuroimaging Initiative (ADNI) dataset. Our preliminary experimental results on 151 subjects (51 AD, 45 MCI, 55 controls) show that the new algorithm may successfully detect statistically significant difference among patients of AD, MCI and healthy control subjects. Our computational framework is efficient and very general. It has the potential to be used for thickness estimation on any biological structures with clearly defined inner and outer surfaces.

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Section: Methodsmentioning

confidence: 99%

A novel cortical thickness estimation method based on volumetric Laplace–Beltrami operator and heat kernel

Wang

Zhang

et al. 2015

Medical Image Analysis

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“…An application example of Chuan-Dian fault system is given to illustrate the meshing process and demonstrate the reliability and usefulness of the proposed algorithm . It was further developed and applied for meshing multi-material structures with a boundary focused quadrilateral mesh generation algorithm (Liu and Xing, 2013;Xing and Liu, 2011).…”

Section: Automatic Meshing and Model Constructionmentioning

confidence: 99%

Recent development in numerical simulation of enhanced geothermal reservoirs

et al. 2015

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This paper briefly introduces the current state in computer modelling of geothermal reservoir system and then focuses on our research efforts in high performance simulation of enhanced geothermal reservoir system. A novel supercomputer simulation tool has been developing towards simulating the highly non-linear coupled geomechanical-fluid flow-thermal systems involving heterogeneously fractured geomaterials at different spatial and temporal scales. It is applied here to simulate and visualise the enhanced geothermal system (EGS), such as (1) visualisation of the microseismic events to monitor and determine where/how the underground rupture proceeds during a hydraulic stimulation, to generate the mesh using the recorded data for determining the domain of the ruptured zone and to evaluate the material parameters (i.e., the permeability) for the further numerical analysis and evaluation of the enhanced geothermal reservoir; (2) converting the available fractured rock image/fracture data as well as the reservoir geological geometry to suitable meshes/grids and further simulating the fluid flow in the complicated fractures involving the detailed description of fracture dimension and geometry by the lattice Boltzmann method and/or finite element method; (3) interacting fault system simulation to determine the relevant complicated rupture process for evaluating the geological setting and the in-situ reservoir properties; (4) coupled thermo-fluid flow analysis of a geothermal reservoir system for an optimised geothermal reservoir design and management. A few of application examples are presented to show its usefulness in simulating the enhanced geothermal reservoir system. KEY WORDS: numerical simulation, geothermal, EGS, microseismicity, finite element method, lattice Boltzmann method. INTRODUCTIONOver the past 30 years, a large amount of research and field testing on engineered geothermal system (EGS), also known as hot dry rock (HDR) and hot fractured rock (HFR) geothermal reservoirs, have been accomplished worldwide which include the reservoir construction, fluid circulation and heat extraction (e.g., Tester et al., 2006). A successful EGS reservoir depends on thermal-fluid flow at any given time which primarily determined by its mean temperature and pressure, the nature of the interconnected network of hydraulic stimulated joints and open fractures (including both stimulated and natural), the cumulative amount of fluid circulation (reservoir cooling) that has occurred and water loss (Rybach, 2010; Brown et al., 1999). The reservoir characteristics are complicated and functions of the applied reservoir pressure/stress that are controlling the nature and degree of interconnection within the network of fractures, therefore it is crucial to have good measures and understanding of such reservoir characteristics (i.e., permeability)

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“…Xie Z et al proposed an adaptive MC algorithm in [7], which greatly reduced the number of triangular patches, and the display effect was not much different from the standard algorithm. Liu et al uses the tetrahedral partitioning method to reduce the number of triangular patches, which improves the speed of the rendering algorithm [8].…”

Section: Introductionmentioning

confidence: 99%

A Novel 3D Reconstruction Algorithm of CT Images Based on Improved Marching Cubes Algorithm

Su¹,

Ma²

2020

Proceedings of the 13th EAI International Conference on Mobile Multimedia Communications, Mobimedia 2020, 27-28 August 2020, Cy

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A boundary focused quadrilateral mesh generation algorithm for multi-material structures

Cited by 12 publications

References 33 publications

A novel cortical thickness estimation method based on volumetric Laplace–Beltrami operator and heat kernel

A novel cortical thickness estimation method based on volumetric Laplace–Beltrami operator and heat kernel

Recent development in numerical simulation of enhanced geothermal reservoirs

A Novel 3D Reconstruction Algorithm of CT Images Based on Improved Marching Cubes Algorithm

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