An investigation into the accuracy, stability and parallel performance of a highly stable explicit technique for stiff reaction-transport PDEs

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The numerical simulation of chemically reacting flows is a topic, that has attracted a great deal of current research At the heart of numerical reactive flow simulations are large sets of coupled, nonlinear Partial Differential Equations (PDES). Due to the stiffness that is usually present, explicit time differencing schemes are not used despite their inherent simplicity and efficiency on parallel and vector machines, since these schemes require prohibitively small numerical stepsizes. Implicit time differencing schemes, although possessing good stability characteristics, introduce a great deal of computational overhead necessary to solve the simultaneous algebraic system at each timestep. This thesis examines ... continued below

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90 p.; Other: FDE: PDF; PL:

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Franz, A., LLNL February 17, 1998.

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Description

The numerical simulation of chemically reacting flows is a topic, that has attracted a great deal of current research At the heart of numerical reactive flow simulations are large sets of coupled, nonlinear Partial Differential Equations (PDES). Due to the stiffness that is usually present, explicit time differencing schemes are not used despite their inherent simplicity and efficiency on parallel and vector machines, since these schemes require prohibitively small numerical stepsizes. Implicit time differencing schemes, although possessing good stability characteristics, introduce a great deal of computational overhead necessary to solve the simultaneous algebraic system at each timestep. This thesis examines an algorithm based on a preconditioned time differencing scheme. The algorithm is explicit and permits a large stable time step. An investigation of the algorithm`s accuracy, stability and performance on a parallel architecture is presented

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90 p.; Other: FDE: PDF; PL:

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OSTI as DE98058825

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  • Other Information: PBD: 17 Feb 1998

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  • Other: DE98058825
  • Report No.: UCRL-LR--130400
  • Grant Number: W-7405-ENG-48
  • DOI: 10.2172/658934 | External Link
  • Office of Scientific & Technical Information Report Number: 658934
  • Archival Resource Key: ark:/67531/metadc702331

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  • February 17, 1998

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  • Sept. 12, 2015, 6:31 a.m.

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  • Feb. 23, 2016, 6:48 p.m.

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Franz, A., LLNL. An investigation into the accuracy, stability and parallel performance of a highly stable explicit technique for stiff reaction-transport PDEs, report, February 17, 1998; California. (digital.library.unt.edu/ark:/67531/metadc702331/: accessed August 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.