• 제목/요약/키워드: numerical methods

검색결과 5,267건 처리시간 0.033초

NUMERICAL COMPARISON OF WENO TYPE SCHEMES TO THE SIMULATIONS OF THIN FILMS

  • Kang, Myungjoo;Kim, Chang Ho;Ha, Youngsoo
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제16권3호
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    • pp.193-204
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    • 2012
  • This paper is comparing numerical schemes for a differential equation with convection and fourth-order diffusion. Our model equation is $h_t+(h^2-h^3)_x=-(h^3h_{xxx})_x$, which arises in the context of thin film flow driven the competing effects of an induced surface tension gradient and gravity. These films arise in thin coating flows and are of great technical and scientific interest. Here we focus on the several numerical methods to apply the model equation and the comparison and analysis of the numerical results. The convection terms are treated with well known WENO methods and the diffusion term is treated implicitly. The diffusion and convection schemes are combined using a fractional step-splitting method.

Minimum Entropy Deconvolution을 이용한 지하수 상대 재충진양의 시계열 추정법

  • 김태희;이강근
    • 한국지하수토양환경학회:학술대회논문집
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    • 한국지하수토양환경학회 2003년도 추계학술발표회
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    • pp.574-578
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    • 2003
  • There are so many methods to estimate the groundwater recharge. These methods can be categorized into four groups. First groupis related to the water balance analysis, second group is concerned with baseflow/springflow recession, and third group is interested in some types of tracers; environmental tracers and/or temperature profile. The limitation of these types of methods is that the estimated results of recharge are presented in the form of an average over some time period. Forth group has a little different approach. They use the time series data of hydraulic head and specific yield evaluated from field test, and the results of estimation are described in the sequential form. But their approach has a serious problem. The estimated results in forth typeof methods are generally underestimated because they cannot consider the discharge phase of water table fluctuation coupled with the recharge phase. Ketchum el. at. (2000) proposed calibrated method, considering recharge- and discharge-coupled water table fluctuation. But the dischargeis considered just as the areal average with discharge rate. On the other hand, there are many methods to estimate the source wavelet with observed data set in geophysics/signal processing and geophysical methods are rarely applied to the estimation of groundwater recharge. The purpose this study is the evaluation of the applicability of one of the geophysical method in the estimation of sequential recharge rate. The applied geophysical method is called minimum entropy deconvolution (MED). For this purpose, numerical modeling with linearized Boussinesq equation was applied. Using the synthesized hydraulic head through the numerical modeling, the relative sequenceof recharge is calculated inversely. Estimated results are very concordant with the applied recharge sequence. Cross-correlations between applied recharge sequence and the estimated results are above 0.985 in all study cases. Through the numerical test, the availability of MED in the estimation of the recharge sequence to groundwater was investigated

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헬리콥터 로터 공력해석을 위한 수치적 방법 연구 (THE INVESTIGATION OF HELICOPTER ROTOR AERODYNAMIC ANALYSIS METHODS)

  • 박남은;우철훈;노현우;김철호;이석준
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2007년도 춘계 학술대회논문집
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    • pp.120-124
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    • 2007
  • Helicopters and rotary-wing vehicles encounter a wide variety of complex aerodynamic phenomena and these phenomena present substantial challenges for computational fluid dynamics(CFD) models. This investigation presents the rotor aerodynamic analysis items for the helicopter development and variety aerodynamic analysis methods to provide the better solution to researchers and helicopter developers between aerodynamic problems and numerical aerodynamic analysis methods. The numerical methods to make an analysis of helicopter rotor are as below - CFD Modelling : actuator disk model, BET model, fully rotor model,... - Grid : sliding mesh, chimera mesh / structure mesh, unstructure mesh,... - etc. : panel method periodic boundary, quasi-steady simulation, incompressible,... The choice of CFD methodology and the numerical resolution for the overall problem have been driven mostly by available computer speed and memory at any point in time. The combination of the knowledge of aerodynamic analysis items, available computing power and choice of CFD methods now allows the solution of a number of important rotorcraft aerodynamics design problems.

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Evaluation of blasting vibration with center-cut methods for tunnel excavation

  • Lee, Seung-Joong;Kim, Byung-Ryeol;Choi, Sung-Oong;Kim, Nam-Soo
    • Geomechanics and Engineering
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    • 제30권5호
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    • pp.423-435
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    • 2022
  • Ground vibration generated repeatedly in blasting tunnel excavation sites is known to be one of the major hazards induced by blasting operations. Various studies have been conducted to minimize these hazards, both theoretical and empirical methods using electronic detonator, the deck charge method, the center-cut method among others Among these various existing methods for controlling the ground vibration, in this study, we investigated the cut method. In particular, we analyzed and compared the V-cut method, which is commonly used in tunnel blasting, to the double-drilled parallel method, which has recently been introduced in tunnel excavation site. To understand the rock fragmentation efficiency as well as the ground vibration controllability of the two methods, we performed in-situ field blasting tests with both cut methods at a tunnel excavation site. Additionally, numerical analysis by FLAC3D has been executed for a better understanding of fracture propagation pattern and ground vibration generation by each cut method. Ground vibration levels, by PPVs measured in field blasting tests and PPVs estimated in numerical simulations, showed a lower value in the double-drilled parallel compared with the V-cut method, although the exact values are quite different in field measurement and numerical estimation.

초음파검사의 수치적 모델링 기법 - 유한차분법 및 유한요소법 (Numerical Techniques for Modeling of Ultrasonic Testing - The Finite Difference and Finite Element Methods)

  • 임현준;유승현
    • 비파괴검사학회지
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    • 제20권2호
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    • pp.116-129
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    • 2000
  • 초음파검사에서 발생하는 물리적 현상의 복잡성을 고려할 때, 이를 이론적으로 모델링하기 위해 수치적인 기법을 이용하는 것이 효과적인 경우가 많다. 본 논문에서는 초음파검사를 수치적으로 모델링하는 기법들에 대하여 개괄적으로 살펴보고, 특히 유한차분법과 유한요소법에 대하여 상세히 알아본다. 즉, 유한차분법과 유한요소법을 이용한 해석의 개요를 설명하고, 이들의 적용시 고려사항 및 문제점에 대해 알아 본 후, 기존의 연구결과 중 중요한 것들을 참고문헌으로 열거하고 몇 가지 예를 소개한다. 계속되는 컴퓨터의 기술적 발전으로 인하여 초음파검사에 대한 수치적 모델링 기법의 신뢰성과 편의성이 지속적으로 증대될 것으로 기대된다.

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도심지 대심도 터널 및 수직구 구간 지반안정성 평가를 위한 굴착영향범위 설정 사례 (A Case Study on the Establishment of an Excavation Impact Range for Evaluating the Ground Stability of Deep Tunnels and Vertical Shaft Sections in Urban Areas)

  • 이서현;우상인
    • 한국지반공학회논문집
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    • 제38권8호
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    • pp.67-74
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    • 2022
  • 지반굴착시 지반안정성 검토를 위한 대상지역의 설정은 이론식 및 경험식 추정방법과 수치해석에 의한 방법으로 구분한다. 일반적으로 적용되는 이론식 및 경험적 추정 방법은 Peck(1969)의 곡선방법, Caspe(1966)의 방법 및 Clough 등(1990)의 방법이 있다. 수치해석에 의한 방법은 과업구간의 현황(지반조건이 가장 취약한 구간, 최대 굴착심도 구간, 주요 인접 구조물 위치 구간 등)을 종합적으로 고려하여 가장 취약한 단면에 대해 2차원 및 3차원 수치해석을 수행한 결과를 반영하였다. 본 논문에서는 위와 같은 이론식 및 경험식, 수치해석을 통해서 000선 복선전철 민간투자사업의 수직구 구간 및 터널 구간 굴착시 영향범위를 설정한 사례를 보여주고자 한다.

Damage of bonded, riveted and hybrid (bonded/riveted) joints, Experimental and numerical study using CZM and XFEM methods

  • Ezzine, M.C.;Amiri, A.;Tarfaoui, M.;Madani, K.
    • Advances in aircraft and spacecraft science
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    • 제5권5호
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    • pp.595-613
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    • 2018
  • The objective of our study is to analyze the behavior of bonded, riveted and hybrid (bonded / riveted) steel / steel assemblies by tensile tests and to show the advantage of a hybrid assembly over other processes. the finite element method with the ABAQUS numerical code was used to model the fracture behavior of the different assemblies. Cohesive zone models (CZM) have been adopted to model crack propagation in bonded joints using a bilinear tensile separation law implemented in the ABAQUS finite element code. The riveted assemblies were modeled with the XFEM damage method identified in this ABAQUS numerical code. Both CZM and XFEM methods are combined to model hybrid assemblies. The results are consistent with the experimental results and make it possible to guarantee the validity of the applied numerical model. The use of a hybrid assembly shows a high resistance compared to other conventional methods, where the number of rivets has been highlighted. The use of the hybrid assembly improves mechanical strength and increases service life compared to a single lap joint and a riveted joint.

Three-dimensional finite element simulation and application of high-strength bolts

  • Long, Liji;Yan, Yongsong;Gao, Xinlin;Kang, Haigui
    • Steel and Composite Structures
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    • 제20권3호
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    • pp.501-512
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    • 2016
  • High-strength structural bolts have been utilized for beam-to-column connections in steel-framed structural buildings. Failure of these components may be caused by the bolt shank fracture or threads stripping-off, documented in the literature. Furthermore, these structural bolts are galvanized for corrosion resistance or quenched-and-tempered in the manufacturing process. This paper adopted the finite element simulation to demonstrate discrete mechanical performance for these bolts under tensile loading conditions, the coated and uncoated numerical model has been built up for two numerical integration methods: explicit and implicit. Experimental testing and numerical methods can fully approach the failure mechanism of these bolts and their ultimate load capacities. Comparison has also been conducted for two numerical integration methods, demonstrating that the explicit integration procedure is also suitable for solving quasi-static problems. Furthermore, by using precise bolt models in T-Stub, more accurately simulate the mechanical behavior of T-Stub, which will lay the foundation of the mechanical properties of steel bolted joints.

Comparison of potential and viscous methods for the nonlinear ship wave problem

  • Kim, Jin;Kim, Kwang-Soo;Kim, Yoo-Chul;Van, Suak-Ho;Kim, Hyo-Chul
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제3권3호
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    • pp.159-173
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    • 2011
  • The two different numerical approaches for solving the nonlinear ship wave problem are discussed in the present paper. One is based on a panel method, which neglects the viscous effects. The other is based on a finite volume method, which take into account the viscous effects by solving RANS equations. Focus is laid upon on the advantages and disadvantages of two methods. The developed methods are applied to calculating the flow around Series 60 hull to validate the performance of the present nonlinear methods. Although the two methods employ quite different numerical approaches, the calculated wave patterns from both methods show good agreements with the experiments. However the potential method simu-lates the global wave pattern accurately, while the viscous method shows better performance for the local wave prediction near a ship.

FSAL MONO-IMPLICIT NORDSIECK GENERAL LINEAR METHODS WITH INHERENT RUNGE-KUTTA STABILITY FOR DAES

  • OLATUNJI, P.O.;IKHILE, M.N.O.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제25권4호
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    • pp.262-295
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    • 2021
  • This paper introduces mono-implicit general linear methods, a special class of general linear methods, which are implicit in the output solution for the numerical integration of differential algebraic equations. We show how L-stable inherent Runge-Kutta members can be derived. The procedures for implementation have been discussed. The numerical test on the problem considered shows that the methods have improved accuracy when compared to RADAU IIA and the results from MATLAB ode15s, which have been taken as our reference solution.