An efficient HOC scheme for transient convection-diffusion-reaction equations with discontinuous coefficients and singular source terms |
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| Authors: | Rajendra K Ray Jiten C Kalita Anoop K Dass |
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| Institution: | 1. Department of Mathematics, Indian Institute of Technology Guwahati, PIN 781039, India;2. Department of Mechanical Engineering, Indian Institute of Technology Guwahati, PIN 781039, India |
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| Abstract: | In this paper, we propose a new methodology for numerically solving one-dimensional (1D) transient convection-diffusion-reaction equations with discontinuous coefficients and singular source terms on nonuniform space grids. This Higher Order Compact (HOC) formulation is at least third order accurate at regular grid points and exactly third order accurate at points just next to the discontinuity. We conduct numerous numerical studies on a number of problems and compare our results with those obtained with immersed interface and other well-known methods. In all cases our formulation is found to produce better results on relatively coarser grids. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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