Journal article
Dimension reduction method for ODE fluid models
Journal of computational physics, Vol.230(23), pp.8554-8572
2011
Handle:
https://hdl.handle.net/2376/116664
Abstract
We develop a new dimension reduction method for large size systems of ordinary differential equations (ODEs) obtained from a discretization of partial differential equations of viscous single and multiphase fluid flow. The method is also applicable to other large-size classical particle systems with negligibly small variations of particle concentration. We propose a new computational closure for mesoscale balance equations based on numerical iterative deconvolution. To illustrate the computational advantages of the proposed reduction method, we use it to solve a system of smoothed particle hydrodynamic ODEs describing single-phase and two-phase layered Poiseuille flows driven by uniform and periodic (in space) body forces. For the single-phase Poiseuille flow driven by the uniform force, the coarse solution was obtained with the zero-order deconvolution. For the single-phase flow driven by the periodic body force and for the two-phase flows, the higher-order (the first- and second-order) deconvolutions were necessary to obtain a sufficiently accurate solution.
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Details
- Title
- Dimension reduction method for ODE fluid models
- Creators
- Alexandre M Tartakovsky - Pacific Northwest National Laboratory, Richland, WA 99352, United StatesAlexander Panchenko - Department of Mathematics, Washington State University, Pullman, WA 99164, United StatesKim F Ferris - Pacific Northwest National Laboratory, Richland, WA 99352, United States
- Publication Details
- Journal of computational physics, Vol.230(23), pp.8554-8572
- Academic Unit
- Mathematics and Statistics, Department of
- Publisher
- Elsevier Inc
- Identifiers
- 99900548276301842
- Language
- English
- Resource Type
- Journal article