• 제목/요약/키워드: discretization

검색결과 693건 처리시간 0.022초

해상누유 확산의 수치해석 (A Numerical Model for the Movement of Spilled Oil at Ocean)

  • 이동연;최항순
    • 대한조선학회논문집
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    • 제31권1호
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    • pp.94-101
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    • 1994
  • 해상에 누출된 기름의 거동은 크게 초기확산, 수평이동 그리고 풍화과정으로 나눌 수 있다. 본 논문에서는 초기확산과 수평이동을 고려하는 단기예측모델을 개발하여 경기만에 적용하였다. 누출된 기름의 초기확산과정에서는 Fay의 3단계 분류법에 근거한 경험식으로 확산반경을 추정하고, 수평이동과정에서는 바람과 $M_2$조석을 고려하여 기름의 이동을 추정 하였다. 조석 수치모델을 위해서 깊이방향으로 적분된 운동방정식을 사용하였고, 수치 계산을 위해 교차 격자체계를 채택하였다. 시간전개를 하는 방법으로 양해법과 중간시간전개법을 이용하여 그 계산결과를 서로 비교하였다. 수치해의 정확도를 검증하기 위하여 간단한 직사각형 유체영역에 먼저 수치모델을 적용한 다음, 실제 계산영역인 경기만에 적용하였다. 또한, 사고 발생시간과 누출장소, 누출된 양과 누출 지속시간, 바람의 크기와 방향을 입력하면 기름의 이동방향과 오염지역 그리고 해안선의 오염정도를 가시화할 수 있는 기능을 단기 예측모델에 포함 시켰다.

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Joint Optimization of Mobile Charging and Data Gathering for Wireless Rechargeable Sensor Networks

  • Tian, Xianzhong;He, Jiacun;Chen, Yuzhe;Li, Yanjun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제13권7호
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    • pp.3412-3432
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    • 2019
  • Recent advances in radio frequency (RF) power transfer provide a promising technology to power sensor nodes. Adoption of mobile chargers to replenish the nodes' energy has recently attracted a lot of attention and the mobility assisted energy replenishment provides predictable and sustained power service. In this paper, we study the joint optimization of mobile charging and data gathering in sensor networks. A wireless multi-functional vehicle (WMV) is employed and periodically moves along specified trajectories, charge the sensors and gather the sensed data via one-hop communication. The objective of this paper is to maximize the uplink throughput by optimally allocating the time for the downlink wireless energy transfer by the WMV and the uplink transmissions of different sensors. We consider two scenarios where the WMV moves in a straight line and around a circle. By time discretization, the optimization problem is formulated as a 0-1 programming problem. We obtain the upper and lower bounds of the problem by converting the original 0-1 programming problem into a linear programming problem and then obtain the optimal solution by using branch and bound algorithm. We further prove that the network throughput is independent of the WMV's velocity under certain conditions. Performance of our proposed algorithm is evaluated through extensive simulations. The results validate the correctness of our proposed theorems and demonstrate that our algorithm outperforms two baseline algorithms in achieved throughput under different settings.

OpenFOAM을 이용한 주형체 활주선의 저항 및 항주자세 추정 (Prediction of Resistance and Planing Attitude for Prismatic Planing Hull using OpenFOAM)

  • 쉬샹위;장양;염덕준
    • 한국해양공학회지
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    • 제33권4호
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    • pp.313-321
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    • 2019
  • The prediction of the hydrodynamic performance of a planing hull vessel is an important and challenging topic for computational fluid dynamic (CFD) applications to naval hydrodynamics. In this paper, the resistance and planing attitude analysis for a Fridsma hull, which is a prismatic planing hull, in still water are numerically studied using OpenFOAM. OpenFOAM is an open source code package based on C++ libraries and the finite volume method (FVM) for the discretization of the RANS equation. The volume of fluid method (VOF) is used to capture the water-air interface and the SST ${\kappa}-{\omega}$ model is used for the turbulence simulation. The overset mesh method is used to capture the large motion of the hull at higher speeds. Before the extensive analysis, uncertainty analyses using various time steps and grid sizes were performed for one ship speed case of Fn = 1.19. The results of the present study are compared with those of a model test, other CFD research, and Savitsky's empirical formula. The results of the present study, following the trend of other CFD results, slightly over predict the resistance and under predict the sinkage and, more significantly, the trim.

가상 층간 구조 페리다이나믹 해석의 파동 전파 특성 검토 (Characteristics of Dynamic Wave Propagation in Peridynamic Analysis with Nonlocal Ghost Interlayer)

  • 하윤도
    • 한국전산구조공학회논문집
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    • 제32권4호
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    • pp.257-263
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    • 2019
  • 다중적층구조는 상대적으로 두꺼운 주 적층구조(ply)와 얇은 층간구조(interlayer)를 반복하여 붙여서 만들어진다. 적층구조의 동적 파괴 페리다이나믹 해석을 효율적으로 수행하기 위해 주 적층구조만 실제 페리다이나믹 절점으로 모델링하고 층간구조는 가상의 절점으로 간략히 모델링하는 비국부 가상 층간구조 모델링 기법을 도입한다. 이를 통해 얇은 층간구조의 수치적 이산화 정도는 무시하고 상대적으로 두꺼운 주 적층구조를 해석하기에 적절한 수준의 수치적 이산화만으로 효율적인 페리다이나믹 모델링 및 해석을 수행할 수 있다. 본 연구에서는 가상 층간 구조 페리다이나믹 해석의 파동 전파 특성을 분석한다. 층간 구조는 인접한 적층판들을 접합하는 역할뿐만 아니라 적층판 사이의 에너지 전달 특성에도 영향을 주기 때문에 적층구조물의 변형 및 운동에도 중요한 역할을 하는 것을 확인하였다. 또한 경계 근처에서 페리다이나믹 절점은 불완전한 형태의 비국부 영역을 구성하는데, 이를 통해 완전한 비국부 영역을 구성하는 내부 절점과 경계 근처의 절점에서 재료 물성치 효과가 달라지게 된다. 본 연구에서는 이와 같은 표면 효과를 보정하기 위해 비국부 체적 기반의 보정법을 도입하고, 표면 효과 보정이 다중적층 구조물의 파동 전파에 미치는 영향을 조사한다.

Modeling of low-dimensional pristine and vacancy incorporated graphene nanoribbons using tight binding model and their electronic structures

  • Wong, K.L.;Chuan, M.W.;Chong, W.K.;Alias, N.E.;Hamzah, A.;Lim, C.S.;Tan, M.L.P.
    • Advances in nano research
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    • 제7권3호
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    • pp.209-221
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    • 2019
  • Graphene, with impressive electronic properties, have high potential in the microelectronic field. However, graphene itself is a zero bandgap material which is not suitable for digital logic gates and its application. Thus, much focus is on graphene nanoribbons (GNRs) that are narrow strips of graphene. During GNRs fabrication process, the occurrence of defects that ultimately change electronic properties of graphene is difficult to avoid. The modelling of GNRs with defects is crucial to study the non-idealities effects. In this work, nearest-neighbor tight-binding (TB) model for GNRs is presented with three main simplifying assumptions. They are utilization of basis function, Hamiltonian operator discretization and plane wave approximation. Two major edges of GNRs, armchair-edged GNRs (AGNRs) and zigzag-edged GNRs (ZGNRs) are explored. With single vacancy (SV) defects, the components within the Hamiltonian operator are transformed due to the disappearance of tight-binding energies around the missing carbon atoms in GNRs. The size of the lattices namely width and length are varied and studied. Non-equilibrium Green's function (NEGF) formalism is employed to obtain the electronics structure namely band structure and density of states (DOS) and all simulation is implemented in MATLAB. The band structure and DOS plot are then compared between pristine and defected GNRs under varying length and width of GNRs. It is revealed that there are clear distinctions between band structure, numerical DOS and Green's function DOS of pristine and defective GNRs.

Discrimination and bifurcation analysis of tumor immune interaction in fractional form

  • Taj, Muhammad;Khadimallah, Mohamed A.;Hussain, Muzamal;Rashid, Yahya;Ishaque, Waqas;Mahmoud, S.R.;Din, Qamar;Alwabli, Afaf S.;Tounsi, Abdelouahed
    • Advances in nano research
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    • 제10권4호
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    • pp.359-371
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    • 2021
  • A tumor immune interaction is a main topic of interest in the last couple of decades because majority of human population suffered by tumor, formed by the abnormal growth of cells and is continuously interacted with the immune system. Because of its wide range of applications, many researchers have modeled this tumor immune interaction in the form of ordinary, delay and fractional order differential equations as the majority of biological models have a long range temporal memory. So in the present work, tumor immune interaction in fractional form provides an excellent tool for the description of memory and hereditary properties of inter and intra cells. So the interaction between effector-cells, tumor cells and interleukin-2 (IL-2) are modeled by using the definition of Caputo fractional order derivative that provides the system with long-time memory and gives extra degree of freedom. Moreover, in order to achieve more efficient computational results of fractional-order system, a discretization process is performed to obtain its discrete counterpart. Furthermore, existence and local stability of fixed points are investigated for discrete model. Moreover, it is proved that two types of bifurcations such as Neimark-Sacker and flip bifurcations are studied. Finally, numerical examples are presented to support our analytical results.

마이크로 수력 발전을 위한 프로펠러형 림구동 축류 터빈 설계 (Design of a Propeller Type Rim-Driven Axial-Flow Turbine for a Micro-Hydropower System)

  • 오진안;방덕제;정노택;이수민;이진태
    • 대한조선학회논문집
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    • 제59권3호
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    • pp.183-191
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    • 2022
  • A design method for a propeller type rim-driven axial-flow turbine for a micro-hydropower system is presented. The turbine consists of pre-stator, impeller and post-stator, where the pre-stator plays a role as a guide vane to provide circumferential velocity to the on-coming flow, and the impeller as a rotational power generator by absorbing angular momentum of the flow. BEM(Blade Element Method), which is based on the turbine Euler equation, is employed to design the pre-stator and impeller blades. NACA 66 thickness form and a=0.8 mean camber line, which is widely accepted as a marine propeller blade section, is used for the pre-stator and turbine blade section. A CFD method, derived from the discretization of the RANS equations, is applied for the analysis of the designed turbine system. The design conditions of the turbine is confirmed by the CFD calculation. Turbine characteristic curve is calculated by the CFD method, in order to provide the performance characteristics at off-design operation conditions. The proposed procedures for the design of a propeller type rim-driven axial-flow turbine are established and confirmed by the CFD analysis.

Modeling and numerical simulation of electrostrictive materials and structures

  • Pechstein, Astrid;Krommer, Michael;Humer, Alexander
    • Smart Structures and Systems
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    • 제30권3호
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    • pp.221-237
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    • 2022
  • This paper is concerned with nonlinear modeling and efficient numerical simulation of electrostrictive materials and structures. Two types of such materials are considered: relaxor ferroelectric ceramics and electrostrictive polymers. For ceramics, a geometrically linear formulation is developed, whereas polymers are studied in a geometrically nonlinear regime. In the paper, we focus on constitutive modeling first. For the reversible constitutive response under consideration, we introduce the augmented Helmholtz free energy, which is composed of a purely elastic part, a dielectric part and an augmentation term. For the elastic part, we involve an additive decomposition of the strain tensor into an elastic strain and an electrostrictive eigenstrain, which depends on the polarization of the material. In the geometrically nonlinear case, a corresponding multiplicative decomposition of the deformation gradient tensor replaces the additive strain decomposition used in the geometrically linear formulation. For the dielectric part, we first introduce the internal energy, to which a Legendre transformation is applied to compute the free energy. The augmentation term accounts for the contribution from vacuum to the energy. In our formulation, the augmented free energy depends not only on the strain and the electric field, but also on the polarization and an internal polarization; the latter two are internal variables. With the constitutive framework established, a Finite Element implementation is briefly discussed. We use high-order elements for the discretization of the independent variables, which include also the internal variables and, in case the material is assumed incompressible, the hydrostatic pressure, which is introduced as a Lagrange multiplier. The elements are implemented in the open source code Netgen/NGSolve. Finally, example problems are solved for both, relaxor ferroelectric ceramics and electrostrictive polymers. We focus on thin plate-type structures to show the efficiency of the numerical scheme and its applicability to thin electrostrictive structures.

티타늄 및 PEEK 지대주 소재가 임플란트 유지 수복물 및 주위 지지골 응력 분포에 미치는 영향: 3차원 유한요소해석 (Effects of titanium and PEEK abutments on implant-supported dental prosthesis and stress distribution of surrounding bones: three-dimensional finite element analysis)

  • 홍민호
    • 대한치과기공학회지
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    • 제44권3호
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    • pp.67-75
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    • 2022
  • Purpose: This study aimed to comparatively evaluate the stress distribution of bones surrounding the implant system to which both titanium and polyetheretherketone (PEEK) abutments are applied using a three-dimensional finite element analysis. Methods: The three-dimensional implant system was designed by the computer-aided design program (CATIA; Dassault Systemes). The discretization process for setting nodes and elements was conducted using the HyperMesh program (Altair), after finishing the design of each structure for the customized abutment implant system. The results of the stress analysis were drawn from the Abaqus program (Dassault Systèmes). This study applied 200 N of vertical load and 100 N of oblique load to the occlusal surface of a mandibular first molar. Results: Under external load application, the PEEK-modeled dental implant showed the highest von Mises stress (VMS). The lowest VMS was observed in the Ti-modeled abutment screws. In all groups, the VMS was observed in the crestal regions or necks of implants. Conclusion: The bones surrounding the implant system to which the PEEK abutment was applied, such as the cortical and trabecular bones, showed stress distribution similar to that of the titanium implant system. This finding suggests that the difference in the abutment materials had no effect on the stress distribution of the bones surrounding implants. However, the PEEK abutments require mechanical and physical properties improved for clinical application, and the clinical application is thought to be limited.

Electronic properties of monolayer silicon carbide nanoribbons using tight-binding approach

  • Chuan, M.W.;Wong, Y.B.;Hamzah, A.;Alias, N.E.;Sultan, S. Mohamed;Lim, C.S.;Tan, M.L.P.
    • Advances in nano research
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    • 제12권2호
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    • pp.213-221
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    • 2022
  • Silicon carbide (SiC) is a binary carbon-silicon compound. In its two-dimensional form, monolayer SiC is composed of a monolayer carbon and silicon atoms constructed as a honeycomb lattice. SiC has recently been receiving increasing attention from researchers owing to its intriguing electronic properties. In this present work, SiC nanoribbons (SiCNRs) are modelled and simulated to obtain accurate electronic properties, which can further guide fabrication processes, through bandgap engineering. The primary objective of this work is to obtain the electronic properties of monolayer SiCNRs by applying numerical computation methods using nearest-neighbour tight-binding models. Hamiltonian operator discretization and approximation of plane wave are assumed for the models and simulation by applying the basis function. The computed electronic properties include the band structures and density of states of monolayer SiCNRs of varying width. Furthermore, the properties are compared with those of graphene nanoribbons. The bandgap of ASiCNR as a function of width are also benchmarked with published DFT-GW and DFT-GGA data. Our nearest neighbour tight-binding (NNTB) model predicted data closer to the calculations based on the standard DFT-GGA and underestimated the bandgap values projected from DFT-GW, which takes in account the exchange-correlation energy of many-body effects.