شماره ركورد كنفرانس :
5048
عنوان مقاله :
Implicit numerical solution of three-dimensional advection-diffusion equation using simultaneously temporal and spatial weighted parameters
Author/Authors :
Abolfazl ،Mohammadi Tarbiat Modares University - Tehran, Iran , Mehrdad ،Manteghian Tarbiat Modares University - Tehran, Iran , Ali ،Mohammadi Imam Hosein University - Tehran, Iran , mojtaba ،Hoseini Nasab Tarbiat Modares University - Tehran, Iran
كليدواژه :
finite difference methods , advection–diffusion equation , spatial weight , temporal weight , implicit techniques
عنوان كنفرانس :
ششمين كنگره بين المللي مهندسي شيمي
چكيده لاتين :
Three numerical techniques have been developed and compared for solving the three-dimensional advection-diffusion
equation with constant coefficients. These techniques are based on the finite difference methods (FDM). By changing
the values of temporal and spatial weighted parameters, solutions are obtained for implicit techniques such BTCS,
BTBSCS and Crank–Nicholson schemes. Numerical solution is given for a special case which has been dealt with in the
literature and for which an analytical solution has been provided. Comparison of the results has confirmed that the
Crank-Nicholson numerical approach matches successfully with the analytical solution while the other techniques result
in some levels of discrepancy.
