TY - JOUR
T1 - A second-order space and time nodal method for the one-dimensional convection-diffusion equation
AU - Rizwan-Uddin,
PY - 1997/3
Y1 - 1997/3
N2 - We present a nodal integral method for the one-dimensional convection-diffusion equation. The development is carried out in the nodal spirit, and results in a method that is second order both in space and time variables. Extension of this method, which is characterized by inherent upwinding, to multi-dimensional problems is straightforward. The nodal method's ability to yield accurate results on rather coarse mesh sizes when coupled with node interior reconstruction of the solution results in a rather powerful scheme that can accurately resolve the solution - even in regions with sharp gradients - with relatively large node sizes. Three widely used problems are solved numerically to demonstrate the properties of the nodal method developed here.
AB - We present a nodal integral method for the one-dimensional convection-diffusion equation. The development is carried out in the nodal spirit, and results in a method that is second order both in space and time variables. Extension of this method, which is characterized by inherent upwinding, to multi-dimensional problems is straightforward. The nodal method's ability to yield accurate results on rather coarse mesh sizes when coupled with node interior reconstruction of the solution results in a rather powerful scheme that can accurately resolve the solution - even in regions with sharp gradients - with relatively large node sizes. Three widely used problems are solved numerically to demonstrate the properties of the nodal method developed here.
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U2 - 10.1016/S0045-7930(96)00039-4
DO - 10.1016/S0045-7930(96)00039-4
M3 - Article
AN - SCOPUS:0031095086
SN - 0045-7930
VL - 26
SP - 233
EP - 247
JO - Computers and Fluids
JF - Computers and Fluids
IS - 3
ER -