Multirate Explicit Adams Methods for Time Integration of Conservation Laws |
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Authors: | Adrian Sandu Emil M Constantinescu |
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Affiliation: | (1) Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA |
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Abstract: | This paper constructs multirate linear multistep time discretizations based on Adams-Bashforth methods. These methods are
aimed at solving conservation laws and allow different timesteps to be used in different parts of the spatial domain. The
proposed family of discretizations is second order accurate in time and has conservation and linear and nonlinear stability
properties under local CFL conditions. Multirate timestepping avoids the necessity to take small global timesteps—restricted
by the largest value of the Courant number on the grid—and therefore results in more efficient computations. Numerical results
obtained for the advection and Burgers’ equations confirm the theoretical findings.
This work was supported by the National Science Foundation through award NSF CCF-0515170. |
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Keywords: | Multirate time integration Adams methods Conservation laws |
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