• Title/Summary/Keyword: discontinuous source term

Search Result 16, Processing Time 0.021 seconds

Coastal Dispersion Analysis Using Two-Dimensional Eulerian-Lagrangian Model (2차원 Eulerian-Lagrangian 모형을 이용한 연안해역의 확산해석)

  • 서승원
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.5 no.3
    • /
    • pp.173-181
    • /
    • 1993
  • An improved two-dimensional Eulerian-Lagrangian convection-dispersion model was established after comparing several models. To simulate long term release of discontinuous suspended solid source from coastal dike construction, source was represented by Fourier transformation. It was concluded that this model can effectively simulate long term coastal dispersion problems.

  • PDF

Treatment of the Bed Slope Source Term for 2-Dimensional Numerical Model Using Quasi-steady Wave Propagation Algorithm (Quasi-steady Wave Propagation 알고리듬을 이용한 2차원 수치모형의 하상경사항 처리)

  • Kim, Tae-Hyung;Han, Kun-Yeun;Kim, Byung-Hyun
    • Journal of Korea Water Resources Association
    • /
    • v.44 no.2
    • /
    • pp.145-156
    • /
    • 2011
  • Two dimensional numerical model of high-order accuracy is developed to analyze complex flow including transition flow, discontinuous flow, and wave propagation to dry bed emerging at natural river flow. The bed slope term of two dimensional shallow water equation consisting of integral conservation law is treated efficiently by applying quasi-steady wave propagation scheme. In order to apply Finite Volume Method using Fractional Step Method, MUSCL scheme is applied based on HLL Riemann solver, which is second-order accurate in time and space. The TVD method is applied to prevent numerical oscillations in the second-order accurate scheme. The developed model is verified by comparing observed data of two dimenstional levee breach experiment and dam breach experiment containing structure at lower section of channel. Also effect of the source term is verified by applying to dam breach experiment considering the adverse slope channel.

Development of 1D finite volume model for discontinues flow simulation (K-River) (불연속 흐름 모의를 위한 1차원 유한체적 모형 K-River의 개발)

  • Jeong, Anchul;An, Hyunuk;Kim, Yeonsu;Noh, Joonwoo
    • Journal of Korea Water Resources Association
    • /
    • v.51 no.10
    • /
    • pp.895-903
    • /
    • 2018
  • There are a large number of weirs installed in rivers of Korea, and these characteristics are not common in other countries. When the flow passes through a structure such as a weir, discontinuous flow occurs. In terms of numerical simulation, it affects the numerical instability due to the balance between the flow term and the source term. In order to solve these problems, many researchers used empirical formulas or numerical scheme simplification. Recently, researches have been conducted to use more accurate numerical scheme. K-River was developed to reflect the characteristics of domestic rivers and calculate the discontinuous flow more accurately. For the verification of K-River, 1) numerical experiment simulations with a bump in the bed, 2) laboratory experiment of hydraulic jump simulation, 3) real river were performed. K-River verified its applicability by simulating results similar to the exact solution and observed value in all simulations.

FITTED MESH METHOD FOR SINGULARLY PERTURBED REACTION-CONVECTION-DIFFUSION PROBLEMS WITH BOUNDARY AND INTERIOR LAYERS

  • Shanthi V.;Ramanujam N.;Natesan S.
    • Journal of applied mathematics & informatics
    • /
    • v.22 no.1_2
    • /
    • pp.49-65
    • /
    • 2006
  • A robust numerical method for a singularly perturbed second-order ordinary differential equation having two parameters with a discontinuous source term is presented in this article. Theoretical bounds are derived for the derivatives of the solution and its smooth and singular components. An appropriate piecewise uniform mesh is constructed, and classical upwind finite difference schemes are used on this mesh to obtain the discrete system of equations. Parameter-uniform error bounds for the numerical approximations are established. Numerical results are provided to illustrate the convergence of the numerical approximations.

Application of a One-Dimensional Upwind Model for Natural Rivers (일차원 상류이송형모형의 자연하도에 대한 적용)

  • Kim, Won;Han,, Kun-Yeun;Woo, Hyo-Seop
    • Journal of Korea Water Resources Association
    • /
    • v.38 no.5 s.154
    • /
    • pp.333-343
    • /
    • 2005
  • The upwind model is well known to simulate shockwaves, but it is rarely applied to natural rivers because of problems caused by the source terms. Although several methods have been developed to deal with the source terms, none of them has been applied to natural rivers. This paper deals with application of the upwind model to the natural river. An implicit upwind model is applied to a hypothetical irregular channel and a natural river with highly irregular bed, width, and hydraulic structures. Different types of the flows including steady-state flow, flood wave, dam-break wave, and bore are simulated to test accuracy and applicability of the implicit upwind model. It is proved that the model can simulate various types of flows in natural rivers with high accuracy and robustness.

Deterioration Analysis and Source Area on Rock Properties of the Seokgatap Pagoda in the Bulguksa Temple, Korea (불국사 석가탑의 풍화훼손도 분석 및 기원암의 산지추정)

  • Lee, Myeong-Seong;Lee, Chan-Hee;Suh, Man-Cheol;Choi, Seok-Won
    • 한국문화재보존과학회:학술대회논문집
    • /
    • 2004.10a
    • /
    • pp.15-24
    • /
    • 2004
  • The Seokgatap pagoda composed of mainly alkali granite and other minor pink-feldspar granite, fine-grained granite, granodiorite, diorite, gabbro, and tuff. Despite the small loss and damage derived from joints, its peel-off and exfoliation are serious enough to cause the heavy deterioration on the stone surface. The chemical and petrological weathering has partly replaced the original rock-forming minerals with clay minerals and iron oxyhydroxides. Based on the petrogenesis, rock materials of the pagoda is very similar to rocks of Dabotap pagoda and the Namsan granite in the Gyeongju. The central fart of the pagoda has sunken highly, which caused all the corners to split and the structural transformation to become worse. The reverse V-shaped gaps between the materials have broken stones filled in a coarse way. The iron plates inserted between the upper flat stone laid on other stones and tile pagoda body in the north and east side has been exposed in the air and corroded, discoloring of the adjacent stones. The overall diagnosis of the Seokgatap pagoda is the deteriorated functions of the stone materials, which calls for a long-term monitoring and plans to reinforce the stone surfaces. But the main body including the pagoda roof stone needs washing on a regular basis, and the many different cracks should be fixed with glue by using the fillers or hardeners designed for stone cultural properties after removing the cement mortar. In case of the replacement of the stone materials with new stones, it's necessary to examine the pagoda for the center of gravity and support intensity of the materials. The structural stability of the pagoda can be attained by taking a reinforce measure in geotechnical engineering and making a drainage. The ground humidity, which has aggravated weathering and structural instability, should be resolved by setting up a humidity reduction facility. The contamination of lichens and bryophyte around the pagoda and on the surface is serious. Thus biochemical treatments should be given too in order to prevent further biological damages and remove the vegetation growing on the discontinuous planes.

  • PDF