• Title/Summary/Keyword: correction equation

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AN EXTENSION OF THE SMAC ALGORITHM FOR THERMAL NON-EQUILIBRIUM TWO-PHASE FLOWS OVER UNSTRUCTURED NON-STAGGERED GRIDS (과도상태 2상유동 해석을 위한 비정렬.비엇갈림 격자 SMAC 알고리즘)

  • Park, I.K.;Yoon, H.Y.;Cho, H.K.;Kim, J.T.;Jeong, J.J.
    • Journal of computational fluids engineering
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    • v.13 no.3
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    • pp.51-61
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    • 2008
  • The SMAC (Simplified Marker And Cell) algorithm is extended for an application to thermal non-equilibrium two-phase flows in light water nuclear reactors (LWRs). A two-fluid three-field model is adopted and a multi-dimensional unstructured grid is used for complicated geometries. The phase change and the time derivative terms appearing in the continuity equations are implemented implicitly in a pressure correction equation. The energy equations are decoupled from the momentum equations for faster convergence. The verification of the present numerical method was carried out against a set of test problems which includes the single and the two-phase flows. The results are also compared to those of the semi-implicit ICE method, where the energy equations are coupled with the momentum equation for pressure correction.

Correction factor calculation for railway noise prediction (철도소음 예측을 위한 보정치 산정)

  • Koh, Hyo-In;Kim, Jae-Chul;You, Won-Hee;Cho, Jun-Ho
    • Proceedings of the KSR Conference
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    • 2006.11b
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    • pp.50-55
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    • 2006
  • For prediction of railway noise, propagation characteristics must be identified as well as the source characteristics. During the railway noise in outdoor pass the air, various factors affect the propagation. In this study, to suggest more effective and convenient equation to predict railway noise, calculation method for correction factor was investigated.

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NON-ITERATIVE DOMAIN DECOMPOSITION METHOD FOR THE CONVECTION-DIFFUSION EQUATIONS WITH NEUMANN BOUNDARY CONDITIONS

  • Younbae Jun
    • East Asian mathematical journal
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    • v.40 no.1
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    • pp.109-118
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    • 2024
  • This paper proposes a numerical method based on domain decomposition to find approximate solutions for one-dimensional convection-diffusion equations with Neumann boundary conditions. First, the equations are transformed into convection-diffusion equations with Dirichlet conditions. Second, the author introduces the Prediction/Correction Domain Decomposition (PCDD) method and estimates errors for the interface prediction scheme, interior scheme, and correction scheme using known error estimations. Finally, the author compares the PCDD algorithm with the fully explicit scheme (FES) and the fully implicit scheme (FIS) using three examples. In comparison to FES and FIS, the proposed PCDD algorithm demonstrates good results.

Numerical Dispersion and Its Control for 1-D Finite Element Simulation of Stress Wave Propagation (응력파 전파 수치모의를 위한 일차원 유한요소모형의 분산 특성 및 제어)

  • 이종세;유한규;윤성범
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.1
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    • pp.75-82
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    • 2004
  • With an aim at eliminating the numerical dispersion error arising from the numerical simulation of stress wave propagation, numerical dispersion characteristics of the wave equation based one-dimensional finite element model are analyzed and some dispersion control scheme are proposed in this paper The dispersion analyses are carried out for two types of mass matrix, namely the consistent and the lumped mass matrices. Based on the finding of the analyses, dispersion correction techniques are developed for both the implicit and explicit schemes. For the implicit scheme, either the weighting factor for the spatial derivatives of each time level or the lumping coefficient for mass matrix is adjusted to minimize the numerical dispersion. In the case of the explicit scheme an artificial dispersion term is introduced in the governing equation. The validity of the dispersion correction techniques proposed in this study is demonstrated by comparing the numerical solutions obtained using the Present techniques with the analytical ones.

Relationship Between Physical Properties and Compression Index for Marine Clay (해성점토의 물리적 특성과 압축지수의 상관성)

  • 김동후;김기웅;백영식
    • Journal of the Korean Geotechnical Society
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    • v.19 no.6
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    • pp.371-378
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    • 2003
  • The compression index of clay distributed in the west and south coast of the Korean Peninsula had been studied. Compression index was obtained from the conventional consolidation test, and was conducted accordingly to obtain the field virgin compression curve by means of Schmertmann's graphical correction. To examine a correlation closely between physical properties of soils($e_o$, LL, w) and compression index(Cc), linen. and non-linear regression analysis were employed based on the data collected from tests. The conclusions are as follows. The compression index obtained by means of Schmereann's graphical correction is about 1.16 times for the value of original oedometer test curve for U/D samples. Non-liner regression curve was preferable to establish a correlation equation rather than linear regression curve. All derived equations so far achieved have been summarized and given. However, linear equation is better for practical use so that part by part simplified linear equations were also suggested alternatively together with their own non-linear regression curve.

TRANSFORMATION OF DIMENSIONLESS HEAT DIFFUSION EQUATION FOR THE SOLUTION OF DYNAMIC DOMAIN IN PHASE CHANGE PROBLEMS

  • Ashraf, Muhammad;Avila, R.;Raza, S. S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.13 no.1
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    • pp.31-40
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    • 2009
  • In the present work transformation of dimensionless heat diffusion equation for the solution of moving boundary problems have been formulated. The formulation is based on 1-D, 2-D and 3-D, unsteady heat diffusion equations. These equations are rst turned int dimensionless form by using dimensionless quantities and their transformation was formulated in liquid and solid phases. The salient feature of this work is that during the transformation of dimensionless heat diffusion equation there arises a convective term $\tilde{v}$ which is responsible for the motion of interface in liquid as well as solid phase. In the transformed heat equation, a correction factor $\beta$ also arises naturally which gives the correct transformed flux at interface.

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THE GRAD-SHAFRANOV EQUATION IN THE MACDONALD-THORNE MAGNETOSPHERE (MACDONALD-THORNE 자기권의 GRAD-SHAFRANOV 방정식)

  • PARK SEOK JAE
    • Publications of The Korean Astronomical Society
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    • v.14 no.2
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    • pp.57-60
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    • 1999
  • We derive the Grad-Shafranov equation in the Macdonald-Thorne magnetosphere of the super-massive black hole in an active galactic nucleus. Our major assumption is that the plasma velocity is not only toroidal but also poloidal. As a result, we get the correction terms which are related to the poloidal motion of plasma like electrodynamic jets.

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Mathematics Model of Space Backside Resection Based on Condition Adjustment

  • Song, Weidong;Wang, Weixi
    • Proceedings of the KSRS Conference
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    • 2003.11a
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    • pp.1403-1405
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    • 2003
  • This paper focuses on the image correction under few GCPs, utilizes the collinearity equation, and builds up this mathematics model of space backside resection based on condition adjustment. Then calculates the adjusted elements of exterior orientation by iteration algorithm, and evaluates the precision. And demonstrates the high-precision, affection and wide-supplying-perspective of this model.

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Transition Rates in a Bistable System Driven by Singular External Forces

  • Cheol-Ju Kim;Dong Jae Lee
    • Bulletin of the Korean Chemical Society
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    • v.14 no.1
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    • pp.95-100
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    • 1993
  • A noise-induced transition is presented for a bistable system subjected to a multiplicative random force, which is singular at the unstable state. The stationary probability distribution is obtained from the Fokker-Planck equation and the effects of the singularity is analyzed. On the basis of noise-induced phase transition with Gaussian white noise, the relaxation time and the transition rate of the system are evaluated up to the first order correction of D. In the parameter region v < l, the transition rates decrease as the exponent v goes to 1 and as the coefficient of the linear term of the kinetic equation increases.

General Relativity and Modern Cosmology (일반상대성이론과 현대우주론)

  • Hwang, Jai-Chan
    • The Bulletin of The Korean Astronomical Society
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    • v.40 no.1
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    • pp.57.5-58
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    • 2015
  • We describe relations between modern cosmology and general relativity in the historical context. We reveal some ironies imbedded in Einstein's final correction of his gravitational field equation in the context of cosmology in 1917 which has apparently opened a new era of modern physical cosmology. The ugly (according to Einstein) correction term was introduced only to build a static cosmology which turns out to be in flat contradiction with observation. Somehow, however, it is the correction term which has saved the modern cosmology from the genuine creativity of nature continuously revealed by astronomical observations. Whether the present precision cosmology is also a correct one is often ignored by the practitioners but still a pressing open question left for future theoretical and observational pursuits.

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