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.
| Language | English (US) |
|---|---|
| Title of host publication | Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007 |
| State | Published - 2007 |
| Event | Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007 - Monterey, CA, United States Duration: Apr 15 2007 → Apr 19 2007 |
Other
| Other | Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007 |
|---|---|
| Country | United States |
| City | Monterey, CA |
| Period | 4/15/07 → 4/19/07 |
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Keywords
- ABC flows
- Nodal integral method
- Turbulence
ASJC Scopus subject areas
- Mathematics(all)
- Nuclear and High Energy Physics
Cite this
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: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Simulation of chaotic ABC flow using parallel modified nodal integral method
AU - Singh,Suneet
AU - Rizwan-uddin,
PY - 2007
Y1 - 2007
N2 - 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.
AB - 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.
KW - ABC flows
KW - Nodal integral method
KW - Turbulence
UR - http://www.scopus.com/inward/record.url?scp=84858456969&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84858456969&partnerID=8YFLogxK
M3 - Conference contribution
SN - 0894480596
SN - 9780894480591
BT - Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007
ER -