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Advanced multigrid application for the acceleration of Groundwater simulations

: Thum, Peter; Stüben, Klaus

Volltext urn:nbn:de:0011-n-2387538 (478 KByte PDF)
MD5 Fingerprint: 1e1cfafc1f8a36b5f596730efd6334e6
Erstellt am: 4.5.2013

Univ. of Illinois:
XIX International Conference on Computational Methods in Water Resources, CMWR 2012 : University of Illinois at Urbana-Champaign, June 17-22, 2012
Urbana-Champaign/Ill., 2012
8 S.
International Conference on Computational Methods in Water Resources (CMWR) <19, 2012, Urbana-Champaign/Ill.>
Konferenzbeitrag, Elektronische Publikation
Fraunhofer SCAI ()
groundwater simulation; linear systems; multigrid

The computationally most intensive process during a groundwater simulation is the solution of linear systems of equations. This can take more than 80 percent of the overall runtime. Hence, an efficient linear solver can save an enormous amount of runtime. However, it may strongly depend on the overall simulation environment which linear solver is the most efficient one for specific linear systems. In time-dependent processes, for instance, the type of the most suitable solver may even change over time. We present an advanced application of algebraic multigrid (AMG) which automatically adapts and optimizes its solving strategy, yielding a robust and very efficient process. This is achieved through two steering mechanisms. The first one controls the AMG method: it attempts to save computing time by reusing setup data from previous runs. The second one controls the switching between AMG and an alternative solver which is complementary to AMG. In groundwater simulation, a reasonable choice for this alternative solver is ILU-CG. The resulting solution process behaves like a “one-for-all” solver, at least from the user's point of view.