High Resolution Upwind-Mixed Finite Element Methods for Advection-Diffusion Equations with Variable Time-Stepping

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dc.contributor.authorDawson, Clint N.en_US
dc.date.accessioned2018-06-18T17:41:50Zen_US
dc.date.available2018-06-18T17:41:50Zen_US
dc.date.issued1994-06en_US
dc.date.noteJune 1994en_US
dc.description.abstractNumerical methods for advection-diffusion equations are discussed based on approximating advection using a high-resolution upwind finite difference method, and incorporating diffusion using a mixed finite element method. In this approach, advection is approximated explicitly and diffusion implicitly. We first describe the basic procedure where each advection time-step is followed by a diffusion step. Because the explicit nature of the advective scheme requires a CFL time-step constraint, the basic procedure may be expensive, especially if the CFL constraint is severe. Two alternative time-stepping approaches are presented for improving computational efficiency while preserving accuracy. In the first approach, several advective time-steps are computed before taking a diffusion step. In the second approach, the advective time steps are also allowed to vary spatially. Numerical results for these three procedures for a model problem arising in flow through porous media are given.en_US
dc.format.extent20 ppen_US
dc.identifier.citationDawson, Clint N.. "High Resolution Upwind-Mixed Finite Element Methods for Advection-Diffusion Equations with Variable Time-Stepping." (1994) <a href="https://hdl.handle.net/1911/101838">https://hdl.handle.net/1911/101838</a>.en_US
dc.identifier.digitalTR94-23en_US
dc.identifier.urihttps://hdl.handle.net/1911/101838en_US
dc.language.isoengen_US
dc.titleHigh Resolution Upwind-Mixed Finite Element Methods for Advection-Diffusion Equations with Variable Time-Steppingen_US
dc.typeTechnical reporten_US
dc.type.dcmiTexten_US
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