An Analytical Solution of the Vertically One-dimensional Convection-Diffusion Equation for the Determination of Local Suspended Sediment Concentration

국지 부유퇴적물 농도의 결정을 위한 연직1차원 이류확산 방정식의 해석해

  • Jung, Kyung-Tae (Coastal and Harbor Engineering Laboratory, Korea Ocean Research and Development Institute) ;
  • Jin, Jae-Youll (Coastal and Harbor Engineering Laboratory, Korea Ocean Research and Development Institut) ;
  • Kang, Hyoun-Woo (Coastal and Harbor Engineering Laboratory, Korea Ocean Research and Development Institut) ;
  • Cho, Hong-Yeon (Coastal and Harbor Engineering Laboratory, Korea Ocean Research and Development Institut) ;
  • Kim, Mee-Kyung (Coastal and Harbor Engineering Laboratory, Korea Ocean Research and Development Institut) ;
  • John Noye (Department of Applied Math., Univ. of Adelaide)
  • Published : 2003.08.01

Abstract

Convective-diffusion equations appear in various disciplines such as hydrology, chemical engineering and oceanography dealing with the transport problem of scalar quantities. Since it is nonlinear, numerical methods are generally used to obtain its solution. Very limited number of analytical solutions are available usually in cases when the convective velocity is constant or has a simple functional form (for some collection of the solutions, see Noye, 1987). There is however a continuing need to develop analytical solutions because of its practical importance. Analytical solutions of the convection-diffusion equation are valuable not only for the better understanding on the transport process but the verification of numerical schemes. (omitted)

Keywords