• 제목/요약/키워드: Discretization Scheme

검색결과 184건 처리시간 0.024초

Numerical study on the performance of semicircular and rectangular submerged breakwaters

  • Barzegar, Mohammad;Palaniappan, D.
    • Ocean Systems Engineering
    • /
    • 제10권2호
    • /
    • pp.201-226
    • /
    • 2020
  • A systematic numerical comparative study of the performance of semicircular and rectangular submerged breakwaters interacting with solitary waves is the basis of this paper. To accomplish this task, Nwogu's extended Boussinesq model equations are employed to simulate the interaction of the wave with breakwaters. The finite difference technique has been used to discretize the spatial terms while a fourth-order predictor-corrector method is employed for time discretization in our numerical model. The proposed computational scheme uses a staggered-grid system where the first-order spatial derivatives have been discretized with fourth-order accuracy. For validation purposes, five test cases are considered and numerical results have been successfully compared with the existing analytical and experimental results. The performances of the rectangular and semicircular breakwaters have been examined in terms of the wave reflection, transmission, and dissipation coefficients (RTD coefficients) denoted by KR, KT, KD. The latter coefficient KD emerges due to the non-energy conserving KR and KT. Our computational results and graphical illustrations show that the rectangular breakwater has higher reflection coefficients than semicircular breakwater for a fixed crest height, but as the wave height increases, the two reflection coefficients approach each other. un the other hand, the rectangular breakwater has larger dissipation coefficients compared to that of the semicircular breakwater and the difference between them increases as the height of the crest increases. However, the transmission coefficient for the semicircular breakwater is greater than that of the rectangular breakwater and the difference in their transmission coefficients increases with the crest height. Quantitatively, for rectangular breakwaters the reflection coefficients KR are 5-15% higher while the diffusion coefficients KD are 3-23% higher than that for the semicircular breakwaters, respectively. The transmission coefficients KT for rectangular breakwater shows the better performance up to 2.47% than that for the semicircular breakwaters. Based on our computational results, one may conclude that the rectangular breakwater has a better overall performance than the semicircular breakwater. Although the model equations are non-dissipative, the non-energy conserving transmission and reflection coefficients due to wave-breakwater interactions lead to dissipation type contribution.

CFD 우수사례 지침을 적용한 관 다발 주위의 난류유동 수치해석 (Numerical Analysis of Turbulent Flow around Tube Bundle by Applying CFD Best Practice Guideline)

  • 이공희;방영석;우승웅;정애주
    • 대한기계학회논문집B
    • /
    • 제37권10호
    • /
    • pp.961-969
    • /
    • 2013
  • 본 연구에서는 상용 전산유체역학 소프트웨어인 ANSYS CFX V.13을 사용하여 정상상태, 비압축성, 등온으로 가정된 엇갈림 관 다발 및 일렬 관 다발 주위의 난류유동을 계산하였다. 계산 결과는 전산유체역학 우수사례 지침에 근거하여 격자크기, 대류항 차분법의 정확도 및 난류모델에 대한 민감도 연구에 활용되었고 실험 결과와 정량적으로 비교함으로써 우수사례 지침의 적용성을 평가하였다. 결론적으로 전산유체역학 우수사례 지침이 관 다발 유동 분야에서 상용 전산유체역학 소프트웨어의 예측성능 향상을 반드시 보증하지 않음을 확인하였다.

에너지${\cdot}$환경 제반 시스템에 관한 수치해석적 연구(II) (A Numerical Study on Various Energy and Environmental System (II))

  • 장동순;박병수;김복순;이은주;송우영
    • 한국전산유체공학회:학술대회논문집
    • /
    • 한국전산유체공학회 1996년도 춘계 학술대회논문집
    • /
    • pp.58-67
    • /
    • 1996
  • This paper describes some computational results of various energy and environmental systems using Patankar's SIMPLE method. The specific topics handled in this study are jet bubbling reactor for flue gas desulfurization, cyclone-type afterburner for incineration, 200m tall stack for 500 MW electric power generation, double skin and heat storage systems of building energy saving for the utilization of solar heating, finally turbulent combustion systems with liquid droplet or pulverized coal particle. A control-volume based finite-difference method with the power-law scheme is employed for discretization. The pressure-velocity coupling is resolved by the use of the revised version of SIMPLE, that is, SIMPLEC. Reynolds stresses are closed using the standard $k-{\varepsilon}$ and RNG $k-{\varepsilon}$ models. Two-phase turbulent combustion of liquid drop or pulverized coal particle is modeled using locally-homogeneous, gas-phase, eddy breakup model. However simple approximate models are incorporated for the modeling of the second phase slip and retardation of ignition without consideration of any detailed particle behavior. Some important results are presented and discussed in a brief note. Especially, in order to make uniform exit flow for the jet bubbling reactor, a well-designed structure of distributor is needed. Further, the aspect ratio in the double skin system appears to be one of important factors to give rise to the visible change of the induced air flow rate. The computational tool employed in this study, in general, appears as a viable method for the design of various engineering system of interest.

  • PDF

이동경계기법을 이용한 제주항의 유동해석 (The Flow Analysis of Jeju Harbor using Moving Boundary Technique)

  • 김남형;박지훈
    • 한국항해항만학회지
    • /
    • 제27권5호
    • /
    • pp.539-546
    • /
    • 2003
  • 유한요소기법을 이용하여 유동해석의 수치모델을 행하였다 공간을 이산화 할 때에는 Galerkin법을 적용하였으며, 시간의 함수를 이산화 할 때에는 많은 수의 요소와 비정상상태의 문제를 다루는데 있어 장점을 가진 2단계 양해법을 이용하였다. 이동경계조건을 고려한 2차원유통모델을 개발하였고, 직사자형 수조에서 개발된 유동모델을 적용하여 검증하였고, 유용성을 확인하였다. 제주항에 개발된 이동경계기법을 적용하여 계산한 결과, 본 이동경계기법의 좋은 적용성을 보여주었다. 본 연구로부터 이동경계처리 방법이 실해역에서의 유동해석에 있어 유용하고 효율적인 방법이라고 결론지을 수 있다.

사각 덕트내 난류 횡단류 유동장에 분사되는 액체 제트의 분열과 미립화에 관한 LES 해석 (LES on breakup and atomization of a liquid jet into cross turbulent flow in a rectangular duct)

  • 유영린;한두희;성홍계;전혁수;박철현
    • 한국항공우주학회지
    • /
    • 제44권4호
    • /
    • pp.290-297
    • /
    • 2016
  • 사각덕트에서 난류 유동장으로 분사되는 액체 제트의 액주 분열과 미립화 현상에 관한 LES를 수행하였다. 기체상태의 공기 유동 해석에 오일러리안 해법을 사용하고, 액적 추적을 위하여 라그랑지안 해법을 사용하여 기체-액체간 이상유동(two phase flow) 해석을 수행하였다. 액적 분열 모델, 아격자 스케일 모델 및 공간 차분법에 따른 액적 분열을 조사하였다. 액체 제트의 침투깊이를 경험식과 비교하였으며 경험식보다 약간 높음을 알 수 있었다. 제트 후류에서 사우터 평균직경에 대한 분석을 수행하였다.

직교격자 기반 수치기법을 이용한 선박의 대변위 운동해석 (Analysis of Large-Amplitude Ship Motions Using a Cartesian-Gridbased Computational Method)

  • 양경규;남보우;이재훈;김용환
    • 대한조선학회논문집
    • /
    • 제49권6호
    • /
    • pp.461-468
    • /
    • 2012
  • In this study, a Cartesian-grid method based on finite volume approach is applied to simulate the ship motions in large amplitude waves. Fractional step method is applied for pressure-velocity coupling and TVD limiter is used to interpolate the cell face value for the discretization of convective term. Water, air, and solid phases are identified by using the concept of volume-fraction function for each phase. In order to capture the interface between air and water, the tangent of hyperbola for interface capturing (THINC) scheme is used with weighed line interface calculation (WLIC) method which considers multidimensional information. The volume fraction of solid body embedded in the Cartesian grid system is calculated using a level-set based algorithm, and the body boundary condition is imposed by a volume weighted formula. Numerical simulations for the two-dimensional barge type model and Wigley hull in linear waves have been carried out to validate the newly developed code. To demonstrate the applicability for highly nonlinear wave-body interactions such as green water on the deck, numerical analysis on the large-amplitude motion of S175 containership is conducted and all computational results are compared with experimental data.

시간 지연 연속 시간 시스템의 디지털 모델링 (Digital Modeling of a Time delayed Continuous-Time System)

  • 박종진;최규석;박인규;강정진
    • 한국인터넷방송통신학회논문지
    • /
    • 제12권1호
    • /
    • pp.211-216
    • /
    • 2012
  • 연속시간 시스템의 제어 이론은 잘 개발되어 왔다. 컴퓨터 기술의 발달로 인해 디지털 제어 기법이 여러 분야에 적용되어 왔다. 제어 시스템에 시간 지연이 있는 경우는 시스템을 효율적으로 제어하는 것이 어렵다. 제어기와 액츄에이터 그리고 센서와 제어기 간에 있는 지연은 제어 성능을 떨어뜨리고 전체 시스템을 불안정하게 할 수 있다. 본 논문에서는 다중의 상태, 입력 그리고 출력 지연을 가지는 제어 시스템을 위한 새로운 근사 이산화 방법과 디지털 설계 그리고 조정가능한 계수를 가지는 일반화된 쌍선형 변환 방법을 제안한다. 이 방법은 정수의 시간 지연을 가지는 이산 시간 모델을 동일한 연속 시간 모델로 다시 변환할 수 있다. 실제적인 예제를 통해 제안된 방법의 효율성을 증명한다.

직교 격자계 기반 유동해석기법을 이용한 파랑 중 해양구조물의 운동 해석 (Numerical Study on Wave-induced Motion of Offshore Structures Using Cartesian-grid based Flow Simulation Method)

  • 남보우;김용환;양경규;홍사영;성홍근
    • 한국해양공학회지
    • /
    • 제26권6호
    • /
    • pp.7-13
    • /
    • 2012
  • This paper presents a numerical study of the wave loads acting on offshore structures using a Cartesian-grid-based flow simulation method. Finite volume discretization with a volume-of-fluid (VOF) method is adopted to solve two-phase Navier-Stokes equations. Among the many variations of the VOF method, the CICSAM scheme is applied. The body boundary conditions are satisfied using a porosity function, and wave generation is carried out by using transient (wave or damping) zone approaches. In order to validate the present numerical method, three different basic offshore structures, including a sphere, Pinkster barge, and Wigley model, are numerically investigated. First, diffraction and radiation problems are solved using the present numerical method. The wave exciting and drift forces from the diffraction problems are compared with potential-based solutions. The added mass and wave damping forces from the radiation problems are also compared with the potential results. Next, the wave-induced motion responses of the structures are calculated and compared with the existing experimental data. The comparison results are fairly good, showing the validity of the present numerical method.

Thermo-mechanical analysis of reinforced concrete slab using different fire models

  • Suljevic, Samir;Medic, Senad;Hrasnica, Mustafa
    • Coupled systems mechanics
    • /
    • 제9권2호
    • /
    • pp.163-182
    • /
    • 2020
  • Coupled thermo-mechanical analysis of reinforced concrete slab at elevated temperatures from a fire accounting for nonlinear thermal parameters is carried out. The main focus of the paper is put on a one-way continuous reinforced concrete slab exposed to fire from the single (bottom) side as the most typical working condition under fire loading. Although contemporary techniques alongside the fire protection measures are in constant development, in most cases it is not possible to avoid the material deterioration particularly nearby the exposed surface from a fire. Thereby the structural fire resistance of reinforced concrete slabs is mostly influenced by a relative distance between reinforcement and the exposed surface. A parametric study with variable concrete cover ranging from 15 mm to 35 mm is performed. As the first part of a one-way coupled thermo-mechanical analysis, transient nonlinear heat transfer analysis is performed by applying the net heat flux on the exposed surface. The solution of proposed heat analysis is obtained at certain time steps of interest by α-method using the explicit Euler time-integration scheme. Spatial discretization is done by the finite element method using a 1D 2-noded truss element with the temperature nodal values as unknowns. The obtained results in terms of temperature field inside the element are compared with available numerical and experimental results. A high level of agreement can be observed, implying the proposed model capable of describing the temperature field during a fire. Accompanying thermal analysis, mechanical analysis is performed in two ways. Firstly, using the guidelines given in Eurocode 2 - Part 1-2 resulting in the fire resistance rating for the aforementioned concrete cover values. The second way is a fully numerical coupled analysis carried out in general-purpose finite element software DIANA FEA. Both approaches indicate structural fire behavior similar to those observed in large-scale fire tests.

페리다이나믹스 이론과 병렬연산을 이용한 균열진전 문제의 형상 설계민감도 해석 (Shape Design Sensitivity Analysis of Dynamic Crack Propagation Problems using Peridynamics and Parallel Computation)

  • 김재현;조선호
    • 한국전산구조공학회논문집
    • /
    • 제27권4호
    • /
    • pp.297-303
    • /
    • 2014
  • 페리다이나믹스 이론과 이진분해 기법의 병렬연산을 이용하여 동적 균열진전 문제에 대한 애조인 형상 설계민감도 해석법을 개발하였다. 페리다이나믹스에서는 균열의 연속적인 분기를 다룰 수 있으며, Explicit 시간적분법을 채택한다. 설계민감도 해석은 애조인 변수법은 경로의존성 문제에는 적합하지 않으나 여기서는 응답해석의 경로를 이미 알고 있으므로 채택하여 사용할 수 있었다. 얻어진 해석적 설계민감도는 유한차분과 비교하여 그 정확성을 검증하였다. 유한차분법은 설계섭동량에 민감하여 비선형성이 강한 페리다이나믹스 문제에서 부정확한 설계민감도를 제시할 수 있다. 정확한 설계민감도 해석을 위해서는 이산화과정에서 $C^1$ 연속성을 가지는 체적율이 필요함을 알 수 있었다.