Parallel Numerical Method for Incompressible Navier-Stokes Equations

San Yih Lin; Zhong Xin Yu

doi:10.1016/B978-044450680-1/50040-1

Parallel Numerical Method for Incompressible Navier-Stokes Equations

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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 language	English
Title of host publication	Parallel Computational Fluid Dynamics 2002
Subtitle of host publication	New Frontiers and Multi-Disciplinary Applications
Publisher	Elsevier Inc.
Pages	313-320
Number of pages	8
ISBN (Electronic)	9780080538426
ISBN (Print)	9780444506801
DOIs	https://doi.org/10.1016/B978-044450680-1/50040-1
Publication status	Published - 2003 Apr 25

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1016/B978-044450680-1/50040-1

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title = "Parallel Numerical Method for Incompressible Navier-Stokes Equations",

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.",

author = "Lin, {San Yih} and Yu, {Zhong Xin}",

note = "Funding Information: This work was partially supported by the National Science Council of the Republic of China under Contracts NSC89-2212-E-006-005.",

year = "2003",

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doi = "10.1016/B978-044450680-1/50040-1",

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T1 - Parallel Numerical Method for Incompressible Navier-Stokes Equations

AU - Lin, San Yih

AU - Yu, Zhong Xin

N1 - Funding Information: This work was partially supported by the National Science Council of the Republic of China under Contracts NSC89-2212-E-006-005.

PY - 2003/4/25

Y1 - 2003/4/25

N2 - 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.

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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