• Title/Summary/Keyword: Adaptive Mesh Refinement(AMR)

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ADAPTIVE MOMENT-OF-FLUID METHOD : A NEW VOLUME-TRACKING METHOD FOR MULTIPHASE FLOW COMPUTATION

  • Ahn, Hyung-Taek
    • Journal of computational fluids engineering
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    • v.14 no.1
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    • pp.18-23
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    • 2009
  • A novel adaptive mesh refinement(AMR) strategy based on the Moment-of-Fluid(MOF) method for volume-tracking dynamic interface computation is presented. The Moment-of-Fluid method is a new interface reconstruction and volume advection method using volume fraction as well as material centroid. The adaptive mesh refinement is performed based on the error indicator, the deviation of the actual centroid obtained by interface reconstruction from the reference centroids given by moment advection process. Using the AMR-MOF method, the accuracy of volume-tracking computation with evolving interfaces is improved significantly compared to other published results.

ADAPTIVE MESH REFINEMENT FOR WEIGHTED ESSENTIALLY NON-OSCILLATORY SCHEMES

  • Yoon, Dae-Ki;Kim, Hong-Joong;Hwang, Woon-Jae
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.4
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    • pp.781-795
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    • 2008
  • In this paper, we describe the application procedure of the adaptive mesh refinement (AMR) for the weighted essentially non-oscillatory schemes (WENO), and observe the effects of the derived algorithm when problems have piecewise smooth solutions containing discontinuities. We find numerically that the dissipation of the WENO scheme can be lessened by the implementation of AMR while the accuracy is maintained. We deduce from the experiments that the AMR-implemented WENO scheme captures shocks more efficiently than the WENO method using uniform grids.

Adaptive Moment-of-Fluid Method:a New Volume-Tracking Method for Multiphase Flow Computation

  • Ahn, Hyung-Taek;Shashkov, Mikhail
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03a
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    • pp.334-336
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    • 2008
  • A novel adaptive mesh refinement (AMR) strategy based on the Moment-of-Fluid (MOF) method for volume-tracking dynamic interface computation is presented. The Moment-of-Fluid method is a new interface reconstruction and volume advection method using volume fraction as well as material centroid. The mesh refinement is performed based on the error indicator, the deviation of the actual centroid obtained by interface reconstruction from the reference centroid given by moment advection process. Using the AMR-MOF method, the accuracy of volume-tracking computation with evolving interfaces is improved significantly compared to other published results.

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Adaptive Moment-of-Fluid Method: a New Volume-Tracking Method for Multiphase Flow Computation

  • Ahn, Hyung-Taek;Shashkov, Mikhail
    • 한국전산유체공학회:학술대회논문집
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    • 2008.10a
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    • pp.334-336
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    • 2008
  • A novel adaptive mesh refinement (AMR) strategy based on the Moment-of-Fluid (MOF) method for volume-tracking dynamic interface computation is presented. The Moment-of-Fluid method is a new interface reconstruction and volume advection method using volume fraction as well as material centroid. The mesh refinement is performed based on the error indicator, the deviation of the actual centroid obtained by interface reconstruction from the reference centroid given by moment advection process. Using the AMR-MOF method, the accuracy of volume-tracking computation with evolving interfaces is improved significantly compared to other published results.

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Adaptive Mesh Refinement in Computational Astrophysics - Methods and Applications

  • BALSARA DINSHAW
    • Journal of The Korean Astronomical Society
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    • v.34 no.4
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    • pp.181-190
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    • 2001
  • The advent of robust, reliable and accurate higher order Godunov schemes for many of the systems of equations of interest in computational astrophysics has made it important to understand how to solve them in multi-scale fashion. This is so because the physics associated with astrophysical phenomena evolves in multi-scale fashion and we wish to arrive at a multi-scale simulational capability to represent the physics. Because astrophysical systems have magnetic fields, multi-scale magnetohydrodynamics (MHD) is of especial interest. In this paper we first discuss general issues in adaptive mesh refinement (AMR), We then focus on the important issues in carrying out divergence-free AMR-MHD and catalogue the progress we have made in that area. We show that AMR methods lend themselves to easy parallelization. We then discuss applications of the RIEMANN framework for AMR-MHD to problems in computational astophysics.

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Application of CIP Method on Advection Equation by Adaptive Mesh Refinement (AMR-CIP법을 이용한 이류 방정식에 관한 수치해석)

  • Yoon, Seong-Young
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.7
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    • pp.871-878
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    • 2004
  • An accurate adaptive mesh refinement based on the CIP method is proposed and it is applied to solve the two dimensional advection equations. In this method, the level set function is employed to refine and merge the computation cells. To enhance the accuracy of the solution, the spatial discretization is made by the CIP method. The CIP method has many advantages such as the third order accuracy, less diffusivity, and shape conserving. The mathematical formulation and numerical results are also described. To verify the efficiency, accuracy, and capability of the proposed algorithim, two dimensional rotating slotted cylinder and idealized frontogenesis are numerically simulated by the present scheme. As results, it is confirmed that the present method gives an efficient, reasonable solution in the advection equation.

Application of adaptive mesh refinement technique on digital surface model-based urban flood simulation

  • Dasallas, Lea;An, Hyunuk
    • Proceedings of the Korea Water Resources Association Conference
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    • 2020.06a
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    • pp.122-122
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    • 2020
  • Urban flood simulation plays a vital role in national flood early warning, prevention and mitigation. In recent studies on 2-dimensional flood modeling, the integrated run-off inundation model is gaining grounds due to its ability to perform in greater computational efficiency. The adaptive quadtree shallow water numerical technique used in this model implements the adaptive mesh refinement (AMR) in this simulation, a procedure in which the grid resolution is refined automatically following the flood flow. The method discounts the necessity to create a whole domain mesh over a complex catchment area, which is one of the most time-consuming steps in flood simulation. This research applies the dynamic grid refinement method in simulating the recent extreme flood events in Metro Manila, Philippines. The rainfall events utilized were during Typhoon Ketsana 2009, and Southwest monsoon surges in 2012 and 2013. In order to much more visualize the urban flooding that incorporates the flow within buildings and high-elevation areas, Digital Surface Model (DSM) resolution of 5m was used in representing the ground elevation. Results were calibrated through the flood point validation data and compared to the present flood hazard maps used for policy making by the national government agency. The accuracy and efficiency of the method provides a strong front in making it commendable to use for early warning and flood inundation analysis for future similar flood events.

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Interactive Visualization Technique for Adaptive Mesh Refinement Data Using Hierarchical Data Structures and Graphics Hardware (계층적 자료구조와 그래픽스 하드웨어를 이용한 적응적 메쉬 세분화 데이타의 대화식 가시화)

  • ;Chandrajit Bajaj
    • Journal of KIISE:Computer Systems and Theory
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    • v.31 no.5_6
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    • pp.360-370
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    • 2004
  • Adaptive mesh refinement(AMR) is one of the popular computational simulation techniques used in various scientific and engineering fields. Although AMR data is organized in a hierarchical multi-resolution data structure, traditional volume visualization algorithms such as ray-casting and splatting cannot handle the form without converting it to a sophisticated data structure. In this paper, we present a hierarchical multi-resolution splatting technique using k-d trees and octrees for AMR data that is suitable for implementation on the latest consumer PC graphics hardware. We describe a graphical user interface to set transfer function and viewing / rendering parameters interactively. Experimental results obtained on a general purpose PC equipped with an nVIDIA GeForce3 card are presented to demonstrate that the proposed techniques can interactively render AMR data(over 20 frames per second). Our scheme can easily be applied to parallel rendering of time-varying AMR data.

Visualization of AMR Volume Data for Development of Extended Reality Realistic Content (확장현실 실감 콘텐츠 개발을 위한 AMR 볼륨 데이터 변환)

  • Jongyong Kim;JongHoon Song;Gyuhyun Hwang;Seung-Hyun Yoon;Sanghun Park
    • Journal of the Korea Computer Graphics Society
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    • v.29 no.3
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    • pp.105-115
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    • 2023
  • In this paper, we describe the process and method of converting tens of TB of time-varying AMR (adaptive mesh refinement) volume data generated as a result of numerical model simulation into optimized data that can be used for various XR devices. AMR volume data is a useful data format for complex modeling and simulation, and it can efficiently express materials such as star clusters and gases that exist in the very wide outer space used in this study. we analyzes the metadata of AMR data, samples it at low resolution, optimizes information in important areas, and converts it into a data set that can be used even on relatively low performance XR devices. Finally, we introduces how the optimized data was utilized and visualized through the development of immersive XR content using the data set.