Hybrid Eulerian-Lagrangian semi-implicit time-integrators
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Authors
Giraldo, F.X.
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2006
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Abstract
Hybrid Eulerian-Lagrangian semi-implicit time-integrators (HELSI) are presented which use the standard semi-implicit formulation as their starting point. The advantage of such an approach is that existing models which employ Eulerian semi-implicit time-integrators can easily be augmented to use the HELSI approach, that is, provided that either: a series of advection problems can be solved efficiently as in the operator-integration-factor splitting (OIFS) method or that the grid and underlying numerics allow the construction of efficient search and interpolation stencils typically required of semi-Lagrangian methods. Once the advection problem is solved the approach then follows the standard semi-implicit approach. An important caveat of this approach is that the semi-implicit time-integrator must be constructed around the implicit backward difference formulas. Published by Elsevier Ltd.
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Article
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The article of record as published may be located at http://dx.doi.org/10.1016/j.camwa.2006.11.009
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Applied Mathematics
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Computers & Mathematics with Applications / Volume 52, Issue 41495, 1325-1342
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.