Journal of The Korean Society of Agricultural Engineers (한국농공학회논문집)

The Korean Society of Agricultural Engineers (한국농공학회)
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Numerical Solution of Second Order Linear Partial Differential Equations using Agricultural Systems Application Platform

농업시스템응용플랫폼을 이용한 2계 편미분 방정식의 해석

  • Lee, SungYong (Research Institute of Agriculture and Life Sciences, Seoul National University) ;
  • Kim, Taegon (Institute on the Environment, University of Minnesota) ;
  • Suh, Kyo (Graduate School of International Agricultural Technology, Institute of Green Bio Science & Technology, Seoul National University) ;
  • Han, Yicheol (Northeast Regional Center for Rural Development, The Pennsylvania State University) ;
  • Lee, Jemyung (Division of Environmental Science and Technology, Kyoto University) ;
  • Yi, Hojae (Department of Agricultural and Biological Engineering, The Pennsylvania State University) ;
  • Lee, JeongJae (Department of Landscape Architecture and Rural Systems Engineering, Institute of Green Bio Science & Technology, Seoul National University)
  • Received : 2015.12.10
  • Accepted : 2016.01.25
  • Published : 2016.01.30
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Abstract

The Agricultural Systems Application Platform (ASAP) provides bottom-up modelling and simulation environment for agricultural engineer. The purpose of this study is to expand usability of the ASAP to the second order partial differential equations: elliptic equations, parabolic equations, and hyperbolic equations. The ASAP is a general-purpose simulation tool which express natural phenomenon with capsulized independent components to simplify implementation and maintenance. To use the ASAP in continuous problems, it is necessary to solve partial differential equations. This study shows usage of the ASAP in elliptic problem, parabolic problem, and hyperbolic problem, and solves of static heat problem, heat transfer problem, and wave problem as examples. The example problems are solved with the ASAP and Finite Difference method (FDM) for verification. The ASAP shows identical results to FDM. These applications are useful to simulate the engineering problem including equilibrium, diffusion and wave problem.

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References

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