Dynamic compound wavelet matrix method for multiphysics and multiscale problems

Krishna Muralidharan, Sudib K. Mishra, George N Frantziskonis, Pierre A Deymier, Phani Nukala, Srdjan Simunovic, Sreekanth Pannala

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The paper presents the dynamic compound wavelet method (dCWM) for modeling the time evolution of multiscale and/or multiphysics systems via an "active" coupling of different simulation methods applied at their characteristic spatial and temporal scales. Key to this "predictive" approach is the dynamic updating of information from the different methods in order to adaptively and accurately capture the temporal behavior of the modeled system with higher efficiency than the (nondynamic) "corrective" compound wavelet matrix method (CWM), upon which the proposed method is based. The system is simulated by a sequence of temporal increments where the CWM solution on each increment is used as the initial conditions for the next. The numerous advantages of the dCWM method such as increased accuracy and computational efficiency in addition to a less-constrained and a significantly better exploration of phase space are demonstrated through an application to a multiscale and multiphysics reaction-diffusion process in a one-dimensional system modeled using stochastic and deterministic methods addressing microscopic and macroscopic scales, respectively.

Original languageEnglish (US)
Article number026714
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume77
Issue number2
DOIs
StatePublished - Feb 29 2008

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Multiscale Problems
Multiphysics
Matrix Method
matrix methods
Wavelets
Increment
One-dimensional System
Reaction-diffusion
Simulation Methods
Computational Efficiency
Diffusion Process
High Efficiency
Updating
Phase Space
Initial conditions
simulation
Modeling

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Dynamic compound wavelet matrix method for multiphysics and multiscale problems. / Muralidharan, Krishna; Mishra, Sudib K.; Frantziskonis, George N; Deymier, Pierre A; Nukala, Phani; Simunovic, Srdjan; Pannala, Sreekanth.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 77, No. 2, 026714, 29.02.2008.

Research output: Contribution to journalArticle

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