Implicit numerical solution of three-dimensional advection-diffusion equation using simultaneously temporal and spatial weighted parameters
Publish place: 06th International Congress on Chemical Engineering
Publish Year: 1388
Type: Conference paper
Language: English
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ICHEC06_283
Index date: 23 September 2009
Implicit numerical solution of three-dimensional advection-diffusion equation using simultaneously temporal and spatial weighted parameters abstract
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.
Implicit numerical solution of three-dimensional advection-diffusion equation using simultaneously temporal and spatial weighted parameters Keywords:
Implicit numerical solution of three-dimensional advection-diffusion equation using simultaneously temporal and spatial weighted parameters authors
Abolfazl mohammadi
Tarbiat Modares University, Tehran, Iran,
Mehrdad manteghian
Tarbiat modares university, Tehran, Iran,
Ali mohammadi
Imam Hosein University, Tehran, Iran,
Seyed Mojtaba Hoseini Nasab
Tarbiat Modares University, Tehran, Iran,
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