Parallel Numerical Method for Incompressible Navier-Stokes Equations

San-Yih Lin, Zhong Xin Yu

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

A parallel numerical method solves the solutions of the incompressible Navier-Stokes equations is developed. The method uses a third-order upwind finite volume scheme to discretize the convective terms and second-order finite volume method to discretize the viscous terms. For the unsteady solutions, the second-order Crank-Nicolson method is used for the time integration. To analyze the convergent rate of the method, an explicit Range-Kutta and implicit DDADI method are introduced and compared in the parallel computations. The multizone technique and the related boundary conditions are investigated in the parallel computations.

Original languageEnglish
Title of host publicationParallel Computational Fluid Dynamics 2002
Subtitle of host publicationNew Frontiers and Multi-Disciplinary Applications
PublisherElsevier Inc.
Pages313-320
Number of pages8
ISBN (Electronic)9780080538426
ISBN (Print)9780444506801
DOIs
Publication statusPublished - 2003 Apr 25

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Parallel Methods
Incompressible Navier-Stokes Equations
Parallel Computation
Numerical Methods
Crank-Nicolson Method
Upwind Scheme
Finite Volume Scheme
Implicit Method
Term
Time Integration
Finite Volume Method
Boundary conditions
Range of data

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Lin, S-Y., & Yu, Z. X. (2003). Parallel Numerical Method for Incompressible Navier-Stokes Equations. In Parallel Computational Fluid Dynamics 2002: New Frontiers and Multi-Disciplinary Applications (pp. 313-320). Elsevier Inc.. https://doi.org/10.1016/B978-044450680-1/50040-1
Lin, San-Yih ; Yu, Zhong Xin. / Parallel Numerical Method for Incompressible Navier-Stokes Equations. Parallel Computational Fluid Dynamics 2002: New Frontiers and Multi-Disciplinary Applications. Elsevier Inc., 2003. pp. 313-320
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Lin, S-Y & Yu, ZX 2003, Parallel Numerical Method for Incompressible Navier-Stokes Equations. in Parallel Computational Fluid Dynamics 2002: New Frontiers and Multi-Disciplinary Applications. Elsevier Inc., pp. 313-320. https://doi.org/10.1016/B978-044450680-1/50040-1

Parallel Numerical Method for Incompressible Navier-Stokes Equations. / Lin, San-Yih; Yu, Zhong Xin.

Parallel Computational Fluid Dynamics 2002: New Frontiers and Multi-Disciplinary Applications. Elsevier Inc., 2003. p. 313-320.

Research output: Chapter in Book/Report/Conference proceedingChapter

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AB - A parallel numerical method solves the solutions of the incompressible Navier-Stokes equations is developed. The method uses a third-order upwind finite volume scheme to discretize the convective terms and second-order finite volume method to discretize the viscous terms. For the unsteady solutions, the second-order Crank-Nicolson method is used for the time integration. To analyze the convergent rate of the method, an explicit Range-Kutta and implicit DDADI method are introduced and compared in the parallel computations. The multizone technique and the related boundary conditions are investigated in the parallel computations.

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Lin S-Y, Yu ZX. Parallel Numerical Method for Incompressible Navier-Stokes Equations. In Parallel Computational Fluid Dynamics 2002: New Frontiers and Multi-Disciplinary Applications. Elsevier Inc. 2003. p. 313-320 https://doi.org/10.1016/B978-044450680-1/50040-1