• Title/Summary/Keyword: Method of Difference Analysis

Search Result 6,392, Processing Time 0.04 seconds

불규칙파중의 인장계류식 해양구조물의 비선형 응답 해석 (A Nonlinear Response Analysis of Tension Leg Platforms in Irregular Waves)

  • 이창호;구자삼;조효제;홍봉기
    • 한국해양공학회지
    • /
    • 제12권2호통권28호
    • /
    • pp.33-42
    • /
    • 1998
  • In the presence of incident waves with different frequencies, the second order sum and difference frequency waves due to the nonlinearity of the incident waves come into existence. Although the magnitudes of the forces produced on a Tension Leg Platform(TLP) by these nonlinear waves are small, they act on the TLP at sum and difference frequencies away from those of the incident waves. So, the second order sum and difference frequency wave loads produced close to the natural frequencies of TLPs often give greater contributions to high and low frequency resonant responses. The second order wave exciting forces and moments have been obtained by the method based on direct integration of pressure acting on the submerged surface of a TLP. The components of the second order forces which depend on first order quantities have been evaluated using the three dimensional source distribution method. The numerical results of time domain analysis for the nonlinear wave exciting forces in regular waves are compared with the numerical ones of frequency domain analysis. The results of comparison confirmed the validity of the proposed approach.

  • PDF

PERFORMANCE OF RICHARDSON EXTRAPOLATION ON SOME NUMERICAL METHODS FOR A SINGULARLY PERTURBED TURNING POINT PROBLEM WHOSE SOLUTION HAS BOUNDARY LAYERS

  • Munyakazi, Justin B.;Patidar, Kailash C.
    • 대한수학회지
    • /
    • 제51권4호
    • /
    • pp.679-702
    • /
    • 2014
  • Investigation of the numerical solution of singularly perturbed turning point problems dates back to late 1970s. However, due to the presence of layers, not many high order schemes could be developed to solve such problems. On the other hand, one could think of applying the convergence acceleration technique to improve the performance of existing numerical methods. However, that itself posed some challenges. To this end, we design and analyze a novel fitted operator finite difference method (FOFDM) to solve this type of problems. Then we develop a fitted mesh finite difference method (FMFDM). Our detailed convergence analysis shows that this FMFDM is robust with respect to the singular perturbation parameter. Then we investigate the effect of Richardson extrapolation on both of these methods. We observe that, the accuracy is improved in both cases whereas the rate of convergence depends on the particular scheme being used.

Analysis of Effect of an Additional Edge on Eigenvector Centrality of Graph

  • Han, Chi-Geun;Lee, Sang-Hoon
    • 한국컴퓨터정보학회논문지
    • /
    • 제21권1호
    • /
    • pp.25-31
    • /
    • 2016
  • There are many methods to describe the importance of a node, centrality, in a graph. In this paper, we focus on the eigenvector centrality. In this paper, an analytical method to estimate the difference of centrality with an additional edge in a graph is proposed. In order to validate the analytical method to estimate the centrality, two problems, to decide an additional edge that maximizes the difference of all centralities of all nodes in the graph and to decide an additional edge that maximizes the centrality of a specific node, are solved using three kinds of random graphs and the results of the estimated edge and observed edge are compared. Though the estimated centrality difference is slightly different from the observed real centrality in some cases, it is shown that the proposed method is effective to estimate the centrality difference with a short running time.

HIGH ORDER IMPLICIT METHOD FOR ODES STIFF SYSTEMS

  • Vasilyeva, Tatiana;Vasilev, Eugeny
    • Journal of applied mathematics & informatics
    • /
    • 제8권1호
    • /
    • pp.165-180
    • /
    • 2001
  • This paper presents a new difference scheme for numerical solution of stiff system of ODE’s. The present study is mainly motivated to develop an absolutely stable numerical method with a high order of approximation. In this work a double implicit A-stable difference scheme with the sixth order of approximation is suggested. Another purpose of this study is to introduce automatic choice of the integration step size of the difference scheme which is derived from the proposed scheme and the one step scheme of the fourth order of approximation. The algorithm was tested by means of solving the Kreiss problem and a chemical kinetics problem. The behavior of the gas explosive mixture (H₂+ O₂) in a closed space with a mobile piston is considered in test problem 2. It is our conclusion that a hydrogen-operated engine will permit to decrease the emitted levels of hazardous atmospheric pollutants.

초박막 기체윤활의 수치해석 (Numerical Analysis of Ultra-Thin Gas Film Lubrication)

  • 정찬홍
    • 한국전산유체공학회지
    • /
    • 제9권4호
    • /
    • pp.64-70
    • /
    • 2004
  • A kinetic theory analysis is used to study the ultra-thin gas flow field in a gas slider bearing. The Boltzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. Calculations are made for a flow in a micro-channel between an inclined slider and a moving disk drive platter The results are compared well with those from the DSMC method. The present method does not suffer from statistical noise which is common in particle-based methods and requires much less computational effort.

Novel 2D FDTD Scheme with Isotropic Dispersion Characteristics

  • Koh, Il-Seuk;Kim, Hyun;Yook, Jong-Gwan
    • 한국전자파학회:학술대회논문집
    • /
    • 한국전자파학회 2005년도 종합학술발표회 논문집 Vol.15 No.1
    • /
    • pp.183-186
    • /
    • 2005
  • A two dimensional (2-D) finite-difference time-domain (FDTD) method based on a novel finite difference scheme is developed to eliminate the numerical dispersion errors. In this paper, numerical dispersion and stability analysis of the new scheme are given, which show that the proposed method is nearly dispersionless, and stable for a larger time step than the standard FDTD method.

  • PDF

Comparison of different impression techniques for edentulous jaws using three-dimensional analysis

  • Jung, Sua;Park, Chan;Yang, Hong-So;Lim, Hyun-Pil;Yun, Kwi-Dug;Ying, Zhai;Park, Sang-Won
    • The Journal of Advanced Prosthodontics
    • /
    • 제11권3호
    • /
    • pp.179-186
    • /
    • 2019
  • PURPOSE. The purpose of this study was to compare two novel impression methods and a conventional impression method for edentulous jaws using 3-dimensional (3D) analysis software. MATERIALS AND METHODS. Five edentulous patients (four men and one woman; mean age: 62.7 years) were included. Three impression techniques were used: conventional impression method (CI; control), simple modified closed-mouth impression method with a novel tray (SI), and digital impression method using an intraoral scanner (DI). Subsequently, a gypsum model was made, scanned, and superimposed using 3D analysis software. Mean area displacement was measured using CI method to evaluate differences in the impression surfaces as compared to those values obtained using SI and DI methods. The values were confirmed at two to five areas to determine the differences. CI and SI were compared at all areas, while CI and DI were compared at the supporting areas. Kruskal-Wallis test was performed for all data. Statistical significance was considered at P value <.05. RESULTS. In the comparison of the CI and SI methods, the greatest difference was observed in the mandibular vestibule without statistical significance (P>.05); the difference was < 0.14 mm in the maxilla. The difference in the edentulous supporting areas between the CI and DI methods was not significant (P>.05). CONCLUSION. The CI, SI, and DI methods were effective in making impressions of the supporting areas in edentulous patients. The SI method showed clinically applicability.

특별직교이방성 이론에 의한 포스트 텐션된 교량의 해석(II) - 강 판형교 - (Analysis of Post-tensioned Bridge by Specially Orthotropic Laminate Theory (II) - Steel Plate Girder Bridge)

  • 김덕현;원치문;이정호
    • 한국복합재료학회:학술대회논문집
    • /
    • 한국복합재료학회 2001년도 춘계학술발표대회 논문집
    • /
    • pp.141-146
    • /
    • 2001
  • A post-tensioned steel plate girder bridge with cross-beams is analyzed by specially orthotropic laminate theory. The cross-sections of both girders and cross-beams are WF types. The result is compared with that of the beam theory. This bridge with simple support is under uniformly distributed vertical load, and axial loads and moment due to post-tension. In this paper, finite difference method for numerical analysis of simple supported bridge is developed. Relatively exact solution is obtained even with small number of meshes. Theory and analysis method of specially orthotropic laminate plates used in this paper can be used in design of new bridges, and maintenance and repair of old bridges.

  • PDF

공간 고조파를 고려한 L.I.M.의 특성해석에 관한 연구 (A study on the characteristics analysis of L.I.M. considering space harmonics)

  • 임달호;김규탁;김윤현
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1988년도 추계학술대회 논문집 학회본부
    • /
    • pp.325-328
    • /
    • 1988
  • Until now to analysis of LIM first winding current distribution is assumed to be finite sinusoidal current. But this method have demerits to learn the difference of LIM's characteristics which is produced by difference of winding method. So in this paper amodel of which period is the length core and air gap mmf of this winding current developed to fourier series, then mmf which contain air gap mmf is obtained this mmf is transformed to current sheet and the analysis result which are obtained by using sinusoidal first current and proposed method are compared.

  • PDF

초박막 기체윤활의 수치해석 (Numerical Analysis of Ultra-Thin Gas Film Lubrication)

  • 정찬홍
    • 한국전산유체공학회:학술대회논문집
    • /
    • 한국전산유체공학회 2004년도 추계 학술대회논문집
    • /
    • pp.207-213
    • /
    • 2004
  • A kinetic theory analysis is used to study the ultra-thin gas flow field in a gas slider bering, The Boltzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. Calculations are made for a flow in a micro-channel between an inclined slider and a moving disk drive platter. The results are compared well with those from the DSMC method. The present method does not suffer from statistical noise which is common in particle based methods and requires much less computational effort.

  • PDF