• 제목/요약/키워드: Adaptive Mesh Refinement(AMR)

검색결과 16건 처리시간 0.03초

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

  • Ahn, Hyung-Taek
    • 한국전산유체공학회지
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    • 제14권1호
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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
    • 대한수학회보
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    • 제45권4호
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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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    • 한국전산유체공학회 2008년도 학술대회
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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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    • 한국전산유체공학회 2008년 추계학술대회논문집
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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
    • 천문학회지
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    • 제34권4호
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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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AMR-CIP법을 이용한 이류 방정식에 관한 수치해석 (Application of CIP Method on Advection Equation by Adaptive Mesh Refinement)

  • 윤성영
    • 대한기계학회논문집B
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    • 제28권7호
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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
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2020년도 학술발표회
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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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계층적 자료구조와 그래픽스 하드웨어를 이용한 적응적 메쉬 세분화 데이타의 대화식 가시화 (Interactive Visualization Technique for Adaptive Mesh Refinement Data Using Hierarchical Data Structures and Graphics Hardware)

  • 박상훈
    • 한국정보과학회논문지:시스템및이론
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    • 제31권5_6호
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    • pp.360-370
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    • 2004
  • 적응적 메쉬 세분화(AMR)는 여러 과학과 공학 분야에서 이용되는 보편적인 계산 시뮬레이션기법이다. AMR 데이타가 계층적인 다중해상도 데이타 구조로 이뤄져 있음에도 불구하고, 어떤 적절한 자료구조로의 변형 없이, 이 데이타를 광선추적법이나 스플래팅과 같은 전통적인 볼륨 가시화 알고리즘들을 이용하여 가시화 하는 것은 불가능하다. 본 논문에서는 AMR 데이타로부터 생성된 k-d 트리와 팔진트리를 이용하는 계층적 다중해상도 스플래팅에 대해 설명한다. 이 기법은 최신의 범용 PC 그래픽스 하드웨어를 이용하여 AMR 데이타의 가시화를 구현하는데 적합하다. 대화식으로 변환함수와 뷰잉 / 렌더링 파라메터를 설정할 수 있는 기능을 제공하는 사용자 인터페이스에 대해서도 설명한다. nVIDIA GeForce3 그래픽스 카드를 내장한 범용의 PC를 이용해 얻은 실험 결과로부터, 제안된 기법을 이용해 AMR 데이타를 대화식으로(초당 20프레임 이상의 속도로) 렌더링 할 수 있음을 보인다. 본 기법은 시간 가변 AMR 데이터의 병렬 렌더링에도 쉽게 적응될 수 있을 것이다.

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

  • 김종용;송종훈;황규현;윤승현;박상훈
    • 한국컴퓨터그래픽스학회논문지
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    • 제29권3호
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    • pp.105-115
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    • 2023
  • 본 논문에서는 수치모델 시뮬레이션 결과로 생성된 수십 TB의 우주 천체 시간가변(time-varying) AMR(adaptive mesh refinement) 볼륨 데이터를 다양한 XR 디바이스에 사용할 수 있는 최적화된 데이터로 변환하는 과정과 방법에 대해 설명한다. AMR 볼륨 데이터는 복잡한 모델링과 시뮬레이션에 유용하게 활용되는 데이터 구조로 본 연구에서 사용되는 매우 넓은 우주를 구성하는 성단과 가스와 같은 물질들을 효율적으로 표현할 수 있다. AMR 데이터의 메타데이터를 분석하여 낮은 해상도로 샘플링하고, 중요한 영역의 정보를 최적화하여 상대적으로 낮은 성능의 XR 디바이스에서도 사용할 수 있는 데이터 셋으로 변환한다. 마지막으로 데이터 셋을 활용한 실감 XR 콘텐츠 개발 사례를 통해 최적화된 데이터를 어떻게 활용하고 가시화하였는지 소개한다.