A fractional step θ-method for convection-diffusion problems |
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Authors: | JC Chrispell EW Jenkins |
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Institution: | Department of Mathematical Sciences, Clemson University, Clemson, SC 29634-0975, USA |
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Abstract: | In this article, we analyze the fractional step θ-method for the time-dependent convection-diffusion equation. In our implementation, we completely separate the convection operator from the diffusion operator, and stabilize the convective problem using a Streamline Upwinded Petrov-Galerkin (SUPG) method. We establish a priori error estimates and show that the optimal value of θ yields a scheme that is second-order in time. Numerical computations are presented which demonstrate the method and support the theoretical results. |
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Keywords: | θ-method Splitting method Convection-diffusion |
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