• Title/Summary/Keyword: Conservation Laws

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THE NUMERICAL SOLUTION OF SHALLOW WATER EQUATION BY MOVING MESH METHODS

  • Shin, Suyeon;Hwang, Woonjae
    • Journal of the Chungcheong Mathematical Society
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    • v.25 no.3
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    • pp.563-577
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    • 2012
  • This paper presents a moving mesh method for solving the hyperbolic conservation laws. Moving mesh method consists of two independent parts: PDE evolution and mesh- redistribution. We compute numerical solution of shallow water equation by using moving mesh methods. In comparison with computations on a fixed grid, the moving mesh method appears more accurate resolution of discontinuities.

PROPAGATION OF PHASE BOUNDARIES: EXISTENCE AND ADMISSIBILITY OF SOLUTIONS VIA FRONT TRACKING METHOD

  • Ahn, Hyeung-Won;Lee, Choon-Ho
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.491-511
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    • 2006
  • The existence of the admissible solution for conservation laws of trilinear type occurring material sciences was proved by Abeyaratne and Knowles. LeFloch proved the existence of admissible solutions of conservation laws of this type via Glimm's method. In this paper we introduce a front tracking solution and prove the existence of the front tracking solution. We also investigate the admissibility of solutions via the Front Tracking Method.

A TREATMENT OF CONTACT DISCONTINUITY FOR CENTRAL UPWIND SCHEME BY CHANGING FLUX FUNCTIONS

  • Shin, Moungin;Shin, Suyeon;Hwang, Woonjae
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.17 no.1
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    • pp.29-45
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    • 2013
  • Central schemes offer a simple and versatile approach for computing approximate solutions of nonlinear systems of hyperbolic conservation laws. However, there are large numerical dissipation in case of contact discontinuity. We study semi-discrete central upwind scheme by changing flux functions to reduce the numerical dissipation and we perform numerical computations for various problems in case of contact discontinuity.

MAXIMAL DOMAINS OF SOLUTIONS FOR ANALYTIC QUASILINEAR DIFFERENTIAL EQUATIONS OF FIRST ORDER

  • Han, Chong-Kyu;Kim, Taejung
    • Journal of the Korean Mathematical Society
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    • v.59 no.6
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    • pp.1171-1184
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    • 2022
  • We study the real-analytic continuation of local real-analytic solutions to the Cauchy problems of quasi-linear partial differential equations of first order for a scalar function. By making use of the first integrals of the characteristic vector field and the implicit function theorem we determine the maximal domain of the analytic extension of a local solution as a single-valued function. We present some examples including the scalar conservation laws that admit global first integrals so that our method is applicable.

The Present Status of Related Policies with Building Mechanical System - Centering around Policies for Energy Conservation of Buildings (설비관련제도 현황 - 건축물의 에너지절약 관련제도 중심으로)

  • Oh, Byung-Chil
    • Proceedings of the SAREK Conference
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    • 2006.06a
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    • pp.1019-1025
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    • 2006
  • There are so many related policies to design and construct building mechanical system. Therefore, preferentially in this study, purposes and major contents of related laws are summarized briefly. Subsequently, some points at issue and ways to improve laws and codes for energy conservation are suggested. From the results of this study, some points at issue are as follows : (1) Inconvenience in the application due to dispersion of similar codes. (2) Lack of systems and tools to verify and to evaluate the effect of energy conservation by any policy (3) Lack of the incentive Policy for Participator to conserve of energy.

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A Study on the Policies and Projects for the Creation of Areas for Close Contact with Nature in Japan (자연과의 접촉공간 조성에 관련된 일본의 시책.사업에 관한 연구)

    • Journal of the Korean Institute of Landscape Architecture
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    • v.25 no.4
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    • pp.30-38
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    • 1998
  • Nowaday special attention is being paid to the conservation of all species or ecosystmes of sites for public projects. Many environmental conservation policies and projects in Japan emphasize the coexistence of man with nature and close contact with nature. The objectives of this study was to investigate policies and projects for the creation of areas for the close contact with nature in Japan, to characterize change of techniques for the space creation over times, and to classify those policies and projects implemented by many government agencies. This study was mainly carried out by literature survey of laws, policies and projects related to environmental conservation pertinent to national scale. Major findings of this study can be summarized as follows: First, two most significant turning points for the environmental conservation in Japan were the establishment of the Office of Environmental in 1971 and the enactment of many laws influenced by the awareness of global environmental problems since 1990. Second, polices and projects for the creation of areas for the close contact with nature started in 1960s by the Office of Forestry, and focused on planting and development of simple facilities in forests. And the conservation of natural environment, ecological restoration and the expansion of urban green spaces, and the creation of biotopes and other areas for the close contact with nature in urban areas were the major characteristics of environmental conservation in Japan during 1970s, 1980s, and 1990s, respectively.

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Landscape Conservation System in Korea (한국의 경관보전체계)

  • Lee, Dong-Kun;Yoon, Eun-Joo;Joo, Shin-Ha
    • Journal of Korean Society of Rural Planning
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    • v.13 no.3
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    • pp.1-11
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    • 2007
  • In the continued economic prosperity, concern about environment and landscape is converted to develop actual institutional system on conservation and management of landscape. In these transition periods, the objective of this study is to suggest limitations and improvements of landscape conservation system for each landscape type such as rural landscape, natural landscape, urban landscape, historical landscape through reviewing related policies, laws, and case studies. As a results, landscape conservation system is insufficient for each landscape type and is regulated sporadically by a few laws. In particularly, rural landscape has been damaged seriously since significance of it was lesser recognized than other landscape types. Urban landscape is managed by landscape ordinance and planning which local government developed, however it doesn't have effectiveness due to insufficient legal basis and related cases. Therefore to enhance recognition of landscape as well as to support the law of landscape which is established this year is required.

A Study on the Management Planning for the Conservation and Environmentally Friendly Use of Korean Coastal Wetlands (우리 나라 연안습지의 보전과 환경친화적 관리방안에 관한 연구)

  • Park, Tae-Yoon
    • Journal of the Korean Society of Environmental Restoration Technology
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    • v.2 no.3
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    • pp.64-73
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    • 1999
  • The purpose of this study is to establish the management plannings for the conservation and environmentally friendly use of Korean coastal wetlands. The function, economic value, and the necessity for the conservation of coastal wetlands are described. The current management status, Korean Governmental policies for the use of coastal wetlands, and their problems are surveyed and analysed. The management plannings for the environmentally friendly use of Korean coastal wetlands is suggested as follows: (1) The coastal wetlands need to be divided into 3 different regions based on PSR(Pressure, State, Response) of OECD. (2) Each region should be managed by appropriate management plans which are suggested in Chapter IV of this paper. Finally, in order to realize these management plannings the change of Governmental system and laws are suggested as follows: (1) The change of relevant laws is required. Additionally, each region should managed by proper governmental agencies. (2) The EIA(Environmental Impact Assessment) system should be improved. (3) The participation of regional people should be guaranteed in the decision making processes of the business and other important planning regarding coastal wetlands. (4) The system which primed the ecological value of coastal wetlands should be established.

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A Study on the Recent Change in Korean Legislative System of Marine Environment Related Laws (최근 국내 해양환경법제도의 변화에 관한 고찰)

  • Park, Su-Jin
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.13 no.4
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    • pp.43-50
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    • 2007
  • Korea actively endeavors to improve the national marine environmental laws and regulations. Along with the growing global concern on the importance of marine environment, the concern is also increasing nationwide in Korea. These institutional changes in Korea have implications in that it has started to internalize the Sustainable Development Principle and the Precautionary Principle in the form of 'law' and 'policy.' The enactment efforts for conservation and sustainable use of marine environment will continue as the legal demand of public for coastal erosion prevention and climate change mitigation increases. This calls for robust revision for more logical framework and coherence of marine environment laws and regulations as well as efficient implementation of policies. In addition, it is strongly required that the systematical research and survey as well as the robust reversion of laws and policies should be taken accordingly for the effective conservation of marine environment.

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