• Title/Summary/Keyword: alternate method of solution

Search Result 23, Processing Time 0.026 seconds

AN IMPLICIT NUMERICAL SCHEME FOR SOLUTION OF INCOMPRESSIBLE NAVIER-STOKES EQUATIONS ON CURVILINEAR GRIDS

  • Fayyaz, Hassan;Shah, Abdullah
    • Bulletin of the Korean Mathematical Society
    • /
    • v.55 no.3
    • /
    • pp.881-898
    • /
    • 2018
  • This article deals with implementation of a high-order finite difference scheme for numerical solution of the incompressible Navier-Stokes equations on curvilinear grids. The numerical scheme is based on pseudo-compressibility approach. A fifth-order upwind compact scheme is used to approximate the inviscid fluxes while the discretization of metric and viscous terms is accomplished using sixth-order central compact scheme. An implicit Euler method is used for discretization of the pseudo-time derivative to obtain the steady-state solution. The resulting block tridiagonal matrix system is solved by approximate factorization based alternating direction implicit scheme (AF-ADI) which consists of an alternate sweep in each direction for every pseudo-time step. The convergence and efficiency of the method are evaluated by solving some 2D benchmark problems. Finally, computed results are compared with numerical results in the literature and a good agreement is observed.

Covariance Controller Design for Linear SISO Systems

  • Kim, Ho-Chan;Oh, Seong-Bo;Ko, Bong-Woon
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2001.10a
    • /
    • pp.54.1-54
    • /
    • 2001
  • In this paper, an alternate method for state-covariance assignment for SISO(single input singe output) linear systems is proposed. This method is based on the inverse solution of the Lyapunov matrix equation and the resulting formulas are similar in structure to the formulas for pole placement. Further, the set of all assignable covariance matrices to a SISO linear system is also characterized.

  • PDF

A Study on the Photoisomerization and Physical Properties for Mixtures of Phospholipid and Fatty Acid containing Azobenzene (아조벤젠기를 가지는 지방산과 인지질의 혼합물에 대한 광이성화 현상 및 물성에 관한 연구)

  • Park, Keun-Ho;Lee, Soo;Byun, Yong-Jin
    • Journal of the Korean Applied Science and Technology
    • /
    • v.16 no.4
    • /
    • pp.281-286
    • /
    • 1999
  • We carried out this subject to observe photoisomerization using 8A5H and phospholipid(DLPC) containing azobenzene group which has reversible to cis-trans by light irradiation. We investigated the photoisomerization and property of the monolayer film on quartz substrate prepared by the mixture of 8A5H and phospholipid deposited using Langmuir-Blodgett(LB) method. It was found that the absorption spectrum of the 8A5H and phospholipid LB monolayer was induced to photoisomerization by alternate light irradiation. And the absorbance of both the solution of mixtures of 8A5H-phospholipid and LB film was reversibly changed by the acid-base exposure and alternate temperatures.

A Study on Deflection Characteristic of Composite Girder with Incomplete Interaction (불완전 합성형의 처짐특성에 관한 연구)

  • Yong, Hwan Sun;Kim, Seok Tae;Kim, Yun Hwan
    • Journal of Korean Society of Steel Construction
    • /
    • v.10 no.3 s.36
    • /
    • pp.437-449
    • /
    • 1998
  • In order that the steel girder and the concrete slab act as a composite structure, the connectors must have adequate strength and stiffness. If there are no horizontal or vertical separations at the interface, the connectors are described as rigid, and complete interaction can be said to exist under these idealized circumstances. However, all connectors are flexible to some extent, and therefore incomplete interaction always exists. This paper presents a practical structural analysis of composite girders with incomplete interaction by three methods. One is the stiffness matrix method derived from the general solutions of differential equation, another is the finite element analysis that alternate method of solution treats the structure as a frame and defines the spring as an additional member, and the other is the finite element analysis using principle of virtual work. The deflection characteristic of composite girder is investigated using these three methods. Also, this paper propose a simplified procedure of estimating a degree of imperfection for a composite girder with incomplete interaction using the sectional properties of girder and spring constants of shear connectors.

  • PDF

On covariance control theory for linear discrete systems via inverse solution of the Lyapunov matrix equation (Lyapunov 행렬방정식의 역해를 이용한 선형 이산시스템의 공분산제어)

  • Kim, Ho-Chan;Choi, Chong-Ho;Kim, Sang-Hyun
    • Proceedings of the KIEE Conference
    • /
    • 1998.07b
    • /
    • pp.443-445
    • /
    • 1998
  • In this paper, an alternate method for state-covariance assignment for SISO(single input single output) linear systems is proposed. This method is based on the inverse solution of the Lyapunov matrix equation and the resulting formulas are similar in structure to the formulas for pole placement. Further, the set of all assignable covariance matrices to a SISO linear system is also characterized.

  • PDF

A Numerical Calculation of Eddy Current Field by Applying FEM and BEM Alternately (유한요소법과 경계요소법의 교호적용에 의한 와전류장 해석)

  • Im, Jae-Won
    • The Transactions of the Korean Institute of Electrical Engineers B
    • /
    • v.49 no.7
    • /
    • pp.457-461
    • /
    • 2000
  • The finite element method (FEM) is suitable for the analysis of a complicated region that includes nonlinear materials, whereas the boundary element method (BEM) is naturally effective for analyzing a very large region with linear characteristics. Therefore, considering the advantages in both methods, a novel algorithm for the alternate application of the FEM and BEM to magnetic field problems with the open boundary is presented. This approach avoids the disadvantages of the typical numerical methods with the open boundary problem such as a great number of unknown values for the FEM and non-symmetric matrix for the Hybrid FE-BE method. The solution of the overall problems is obtained by iterative calculations accompanied with the new acceleration method.

  • PDF

Economic Analysis of Power Transmission Lines using Interval Mathematics

  • Teegala, Srinivasa Kishore;Singal, Sunil Kumar
    • Journal of Electrical Engineering and Technology
    • /
    • v.10 no.4
    • /
    • pp.1471-1479
    • /
    • 2015
  • A major portion of the capital costs in the present day power transmission systems are due to the cost of equipment and construction process. Transmission utilities in the recent years are drawing greater attention towards performing life cycle costing studies for cost management and decision making. However, the data involved in these studies are highly uncertain and the effect of these uncertainties cannot be directly included in the study process, resulting in inaccurate solutions. Interval mathematics provides a method for including these uncertainties throughout the cost analysis and provides final solution range in the form of intervals. In this regard, it is essential and extremely important that significant research has to be carried out in understanding the principles of life cycle costing methodology and its applicability to cost analysis of transmission lines along with uncertainties involved in the cost assessment process. In this paper, economic analysis of power transmission lines using interval mathematics has been studied. Life cycle costing studies are performed using net present value analysis on a range transmission lines used in India and the results are analyzed. A cost break even analysis considering right of way costs was carried out to determine the point of economy indifference.

A Study on Combination of Various Numerical Analysis Methods (이종해법의 병용에 관한 연구)

  • Im, Jee-Won;Choo, Dong-Woog;Han, Seok-Woo
    • Proceedings of the KIEE Conference
    • /
    • 2000.07e
    • /
    • pp.99-103
    • /
    • 2000
  • The finite element method (FEM) is suitable for the analysis of a complicated region that includes nonlinear materials, whereas the boundary element method (BEM) is naturally effective for analyzing a very large region with linear characteristics. Therefore, considering the advantages in both methods, a novel algorithm for the alternate application of the FEM and BEM to magnetic field problems with the open boundary is presented. This approach avoids the disadvantages of the typical numerical methods with the open boundary problem such as a great number of unknown values for the FEM and non-symmetric matrix for the Hybrid FE-BE method. The solution of the overall problems is obtained by iterative calculations accompanied with the new acceleration method.

  • PDF

A Numerical Calculation of Open Boundary Problem by Applying FEM and BEM Alternately (유한요소법과 경계요소법의 교호적용에 의한 무한영역해석)

  • Im, Jae-Won
    • Proceedings of the KIEE Conference
    • /
    • 1999.07a
    • /
    • pp.130-132
    • /
    • 1999
  • The finite element method (FEM) is suitable for the analysis of a complicated region that includes nonlinear materials, whereas the boundary element method (BEM) is naturally effective for analyzing a very large region with linear characteristics. Therefore, considering the advantages in both methods, a novel algorithm for the alternate application of the FEM and BEM to magnetic field problems with the open boundary is presented. This approach avoids the disadvantages of the typical numerical methods with the open boundary problem such as a great number of unknown values for the FEM and non-symmetric matrix for the Hybrid FE-BE method. The solution of the overall problems is obtained by iterative calculations accompanied with the new acceleration method.

  • PDF

The Improvement of Formability using the Polar-coordinate FLD with Strain Path Independence (경로의존성 없는 극좌표계 성형한계도를 이용한 판재 성형성 향상 기술)

  • Bae, M.K.;Hong, S.H.;Choi, K.Y.;Yoon, J.W.;Kim, Y.S.
    • Transactions of Materials Processing
    • /
    • v.24 no.5
    • /
    • pp.348-353
    • /
    • 2015
  • The PEPS(Polar-coordinated Effective Plastic Strain) FLD(Forming Limit Diagram), a new type of FLD based on a polar representation of the EPS(Effective Plastic Strain), appears to be an effective solution to the problem of non-linear strain path effects. This method has the advantages of the familiar strain-based diagram for linear loading, but without the strain-hardening limitations of the stress-based diagram, or non-intuitive aspects of alternate Cartesian diagrams based on effective plastic strain. In the current study, the PEPS FLD was applied to the development process of an aluminum automobile-body panel, including the necking or crack prediction, die design, and die modification. As a result, the PEPS FLD provided improved formability of aluminum sheet as compared to deriving the potential formability with non-linearity.