• Title/Summary/Keyword: boundary method

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Compressor Cascade Flow Analysis by Using Upwind Flux Difference Splitting Method (풍상차분법을 이용한 압축기 익렬유동 해석)

  • 권창오;송동주;강신형
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.3
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    • pp.653-661
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    • 1994
  • In this paper the CSCM type upwind flux difference splitting Navier-Stokes method has been applied to study the ARL-SL19 supersonic/transonic compressor cascade flow. H-type grid was chosen for its simplicity in applying cyclic tridiagonal matrix algorithm along with conventional slip/no-slip boundary conditions. The thin-layer algebraic model of Baldwin-Lomax was employed for the calculation of turbulent flows. The test case inlet Mach No. was 1.612 and inlet/exit pressure ratio($P_2/P_1$) was 2.15. The results were compared with experimental results from current method were compared well in suction surface with the experiments and other computational results; however, not well in pressure surface. It might be due to the complex flowfields such as shock/boundary layer interaction, turbulence, and flow separation, etc. In the future, a proper turbulence modelling and adaptive grid system will be studied to improve the solution quality.

FOURTH ORDER ELLIPTIC BOUNDARY VALUE PROBLEM WITH SQUARE GROWTH NONLINEARITY

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
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    • v.18 no.3
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    • pp.323-334
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    • 2010
  • We give a theorem for the existence of at least three solutions for the fourth order elliptic boundary value problem with the square growth variable coefficient nonlinear term. We use the variational reduction method and the critical point theory for the associated functional on the finite dimensional subspace to prove our main result. We investigate the shape of the graph of the associated functional on the finite dimensional subspace, (P.S.) condition and the behavior of the associated functional in the neighborhood of the origin on the finite dimensional reduction subspace.

Boundary Element Analysis on the Hydraulic Characteristics of Submerged Breakwater with Trapezoidal Type (사다리꼴형상 잠제의 수리특성에 관한 경계요소해석)

  • Kim Nam-Hyeong;Yang Soon-Bo
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.6 no.4
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    • pp.45-51
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    • 2003
  • The reflection and transmission of submerged breakwater with trapezoidal type are computed numerically using boundary element method. The analysis method is based on the wave pressure function with the contlnuit? in the analytical region including fluid and porous structures. Wane motion within the porous structures is simulated by introducing the linear dissipation coefficient and added mass coefficient. The results indicate that transmission and reflection coefficient are determined due to the change of slope of submerged breakwater with trapezoidal type.

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Environment Monitoring Algorithm using Behavior-Based Multiple Robot System (행동기반 다개체 로봇 시스템을 이용한 환경감시 알고리즘)

  • Kwon, Ji-Wook;Hong, Suk-Kyo;Chwa, Dong-Kyoung
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.4
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    • pp.622-628
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    • 2012
  • This paper proposes an environment monitoring algorithm using a behavior-based multiple robot system. This paper handles an escort and a boundary-tracking especially. Unlike previous research works, the proposed environment monitoring system which is based on the behavior-based multiple robot control allows the system to employ the reusable code and general algorithm. Also, the proposed method can be applied to cheaper process with low performances. In the proposed method, escort and boundary-tracking missions are constructed by weighted sum of predefined basic behaviors after redefining the basic behaviors in previous works and introducing the novel basic behavior. Simulation results of the proposed method are included to demonstrate the practical application of the proposed algorithm.

DETERMINATION OF NORMAL VECTORS FOR BOUNDARIES OF PLASMAS BASED UPON RANKINE-HUGONIOT RELATIONS ESTIMATED WITH A SINGLE SPACECRAFT

  • Soen, J.
    • Journal of Astronomy and Space Sciences
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    • v.15 no.1
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    • pp.111-118
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    • 1998
  • A method to determine normal vectors for boundaries of plasmas with a series of data acquired from a single spacecraft is investigated. The determination of the normal vector is possible through a set of Rankine-Hugoniot(R-H) relations that are conser-vation relations of plasmas across a boundary. It is assumed that the boundary is planar and that the structure of the boundary is not varing in the rest frame of plasmas. The present method utilizes a complete set of R-H relations and provieds self-consistent predictions of the plasma densities, bulk velocities, and temperatures a s well as mag-netic fields. It is expected that the present method provides a more accurate normal vector than the previous methods which employ only subsets of the available R-H relations.

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Solution of the two-dimensional scalar wave equation by the time-domain boundary element method: Lagrange truncation strategy in time integration

  • Carrer, J.A.M.;Mansur, W.J.
    • Structural Engineering and Mechanics
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    • v.23 no.3
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    • pp.263-278
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    • 2006
  • This work presents a time-truncation scheme, based on the Lagrange interpolation polynomial, for the solution of the two-dimensional scalar wave problem by the time-domain boundary element method. The aim is to reduce the number of stored matrices, due to the convolution integral performed from the initial time to the current time, and to keep a compromise between computational economy and efficiency and the numerical accuracy. In order to verify the accuracy of the proposed formulation, three examples are presented and discussed at the end of the article.

SOLVING SINGULAR NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS IN THE REPRODUCING KERNEL SPACE

  • Geng, Fazhan;Cui, Minggen
    • Journal of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.631-644
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    • 2008
  • In this paper, we present a new method for solving a nonlinear two-point boundary value problem with finitely many singularities. Its exact solution is represented in the form of series in the reproducing kernel space. In the mean time, the n-term approximation $u_n(x)$ to the exact solution u(x) is obtained and is proved to converge to the exact solution. Some numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method are compared with the exact solution of each example and are found to be in good agreement with each other.

An Eeffective Mesh Generation Algorithm Using Singular Shape Functions

  • Yoo, Hyeong Seon;Jang, Jun Hwan;Pyun, Soo Bum
    • Transactions on Control, Automation and Systems Engineering
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    • v.3 no.4
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    • pp.268-271
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    • 2001
  • In this paper, we propose a simplified pollution adaptive mesh generation algorithm using singular elements. The algorithm based on the element pollution error indicator concentrate on boundary nodes. The automatic mesh generation method is followed by either a node-relocation or a node-insertion method. The boundary node relocation phase is introduced to reduce pollution error estimates without increasing the boundary nodes. The node insertion phase greatly improves the error and the factor with the cost of increasing the node numbers. It is shown that the suggested r-h version algorithm combined with singular elements converges more quickly than the conventional one.

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Motion Boundary Detection and Motion Vector Estimation by spatio-temporal Gradient Method using a New Spatial Gradient (새로운 공간경사를 사용한 시공간 경사법에 의한 운동경계 검출 및 이동벡터 추정)

  • 김이한;김성대
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.30B no.2
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    • pp.59-68
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    • 1993
  • The motion vector estimation and motion boundary detection have been briskly studied since they are an important clue for analysis of object structure and 3-d motion. The purpose of this researches is more exact estimation, but there are two main causes to make inaccurate. The one is the erroneous measurement of gradients in brightness values and the other is the blurring of motion boundries which is caused by the smoothness constraint. In this paper, we analyze the gradient measurement error of conventional methods and propose new technique based on it. When the proposed method is applied to the motion boundary detection in Schunck and motion vector estimation in Horn & Schunck, it is shown to have much better performance than conventional method is some artificial and real image sequences.

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SIMULATION OF ENERGY HARVESTING EEL BY THE IMMERSED BOUNDARY METHOD

  • Jung, Ki-Sung;Huang, Wei-Xi;Sung, Hyung-Jin
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03a
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    • pp.197-203
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    • 2008
  • In the present study, we carry out numerical simulations of energy harvesting eel by using the immersed boundary method. Eel is modeled by a flexible filament and is placed behind a circular cylinder. We perform systematic simulations in order to explore the effects of Reynolds number. The instantaneous eel motion is analyzed under different conditions and surrounding vortical structures are identified. The flapping frequency of eel has been compared with that in case of plate alone as well as filament alone. As increasing Reynolds number, we can see that the flexible filament flaps passively by obtaining the Strouhal number of cylinder alone and filament with cylinder.

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