Simulation of chaotic ABC flow using parallel modified nodal integral method

Suneet Singh, Rizwan-uddin

Research output: ResearchConference contribution

Abstract

Modified Nodal Integral Method (MNIM) for three-dimensional, incompressible Navier-Stokes (N-S) equations has recently been developed. A parallel version of the numerical method (PMNIM) has been subsequently developed. Modified Nodal Integral Method (MNIM) requires relatively less number of grid points for the desired accuracy which results in reduced CPU time. The parallel version of the method, PMNIM, is tested for the laminar flow and has been shown to have good speedup and parallel efficiency. The higher efficiency of PMNIM makes it a suitable candidate for simulation of turbulent flows. In the present work, PMNIM is used to for direct numerical simulation of Arnold-Beltrami-Childress (ABC) flow for a range of Reynolds numbers. ABC flows are considered to be prototypes for the study of turbulence. The earlier studies of the chaos in the ABC flows have been carried out using Fourier Spectral Method. The results obtained in previous studies are reproduced in the present work using PMNIM. The results obtained using PMNIM match favourably with those obtained by using Fourier spectral method.

LanguageEnglish (US)
Title of host publicationJoint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007
StatePublished - 2007
EventJoint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007 - Monterey, CA, United States
Duration: Apr 15 2007Apr 19 2007

Other

OtherJoint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007
CountryUnited States
CityMonterey, CA
Period4/15/074/19/07

Fingerprint

Integral Method
Simulation
Beltrami flow
simulation
Fourier Method
Spectral Methods
spectral methods
Incompressible Navier-Stokes Equations
Laminar Flow
CPU Time
Turbulent Flow
High Efficiency
Reynolds number
Turbulence
Chaos
Speedup
Numerical Methods
Prototype
Grid
Three-dimensional

Keywords

  • ABC flows
  • Nodal integral method
  • Turbulence

ASJC Scopus subject areas

  • Mathematics(all)
  • Nuclear and High Energy Physics

Cite this

Singh, S., & Rizwan-uddin (2007). Simulation of chaotic ABC flow using parallel modified nodal integral method. In Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007

Simulation of chaotic ABC flow using parallel modified nodal integral method. / Singh, Suneet; Rizwan-uddin.

Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007. 2007.

Research output: ResearchConference contribution

Singh, S & Rizwan-uddin 2007, Simulation of chaotic ABC flow using parallel modified nodal integral method. in Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007. Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007, Monterey, CA, United States, 4/15/07.
Singh S, Rizwan-uddin. Simulation of chaotic ABC flow using parallel modified nodal integral method. In Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007. 2007.
Singh, Suneet ; Rizwan-uddin. / Simulation of chaotic ABC flow using parallel modified nodal integral method. Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007. 2007.
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