Direct numerical simulation of incompressible pipe flow using a b-spline spectral method

Cover of: Direct numerical simulation of incompressible pipe flow using a b-spline spectral method |

Published by National Aeronautics and Space Administration, Ames Research Center, National Technical Information Service, distributor in Moffett Field, Calif, [Springfield, Va .

Written in English

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Subjects:

  • Digital simulation.,
  • Computerized simulation.,
  • Computational fluid dynamics.,
  • Incompressible flow.,
  • Pipe flow.,
  • Finite element method.,
  • Turbulent flow.

Edition Notes

Book details

StatementPatrick Loulou ... [et al.].
SeriesNASA technical memorandum -- 110436.
ContributionsLoulou, Patrick., Ames Research Center.
The Physical Object
FormatMicroform
Pagination1 v.
ID Numbers
Open LibraryOL15498178M

Download Direct numerical simulation of incompressible pipe flow using a b-spline spectral method

A direct numerical simulation of pipe flow was carried out using the method described above at a Reynolds number of based on diameter and bulk velocity. General knowledge of pipe flow and the availability of experimental measurements make pipe flow the ideal test case with which to validate the numerical method.

Direct numerical simulation (DNS) of incompressible turbulent pipe flow was carried out on unstructured grids for a Reynolds number based on the friction velocity and the pipe diameter of Re τ = using the spectral/hp element method (SEM) by Karniadakis and Sherwin [3].

The main objective was to investigate the computational aspects of this DNS with respect to accuracy, CPU time and Cited by: 2. Loulou, P, Moser, RD, Mansour, N and Cantwell, B Direct simulation of incompressible pipe flow using a b-spline spectral method Google Scholar McKeon, BJ, Li, J, Jiang, W, Morrison, JF and Smits, AJ Further observations on the mean velocity distribution in fully developed pipe flow J.

Fluid Mech Cited by: Direct Numerical Simulation of Incompressible Pipe Flow Using a B-Spline Spectral Method. Abstract. A numerical method based on b-spline polynomials was developed to study incom-pressible flows in cylindrical geometries. A b-spline method has the advantages of possessing spectral accuracy and the flexibility of standard finite element.

The present DNS algorithm for wall-bounded compressible turbulent flow is based on the B-spline collocation method in the wall-normal direction.

In addition, the skew-symmetric form for convection term is used in the DNS algorithm to maintain numerical by: Direct numerical simulation (DNS) of incompressible turbulent pipe flow was carried out on unstructured grids for a Reynolds number based on the friction velocity and the pipe diameter of Rcr = using the spectral/hp element method (SEM) by Karniadakis and Sherwin [3].

In this paper, we present a first direct numerical simulation (DNS) of a turbulent pipe flow using the mesoscopic lattice Boltzmann method (LBM) on both a D3Q19 lattice grid and a D3Q27 lattice by: 6.

Direct Numerical Simulation of the Incompressible Temporally Developing Turbulent Boundary Layer M. Kozul and D. Chung Department of Mechanical Engineering The University of Melbourne, Parkville VICAustralia Abstract We perform a direct numerical simulation investigation of the incompressible temporally developing turbulent boundary layer.

Programs and Algorithms of Numerical Mathematics Doln´ı Maxov, June 1–6, Finite Element Modeling of Incompressible Fluid Flows Pavel Burda, Jaroslav Novotn´y, Jakub S´ıstek,ˇ Alexandr Damaˇsek Czech Technical University in Prague Institute of Thermomechanics CASFile Size: 5MB.

Results of a direct numerical simulation of turbulent pipe flow with spanwise wall oscillation, using NEK, a spectral element Navier-Stokes solver, are presented. Direct numerical simulation (DNS) is used to investigate turbulent Taylor–Couette (TC) flow.

A simulation was run for a Reynolds number of in an apparatus with a radius ratio of η = and an aspect ratio ofwhich assumed a vortex pair wavelength of Cited by:   Conditional Fourier spectral method for direct numerical simulation of incompressible flows.

Abstract. A new method of treating incompressible flows with nonslip boundaries is proposed as an extension of the Fourier spectral : Iwao Hosokawa, Kiyoshi Yamamoto. Fully developed incompressible turbulent pipe flow at bulk-velocity- and pipe-diameter-based Reynolds number Re D = was simulated with second-order finite-difference methods on million grid points.

The corresponding Kármán number R +, based on pipe radius R, isand the computational domain length is 15 computed mean flow statistics agree well with Princeton. A code for the direct numerical simulation of spatially developing turbulent boundary layers has been implemented by the Computational Fluid Dynamics group at the School of Aeronautics in Madrid.

The code uses a fractional-step scheme to solve the incompressible. Under consideration for publication in J. Fluid Mech. 1 Direct numerical simulation of turbulent pipe flow using the lattice Boltzmann method Cheng Peng1, Nicholas Geneva1, Zhaoli Guo2 and Lian-Ping Wang1,2† 1Department of Mechanical Engineering, Spencer Laboratory, University of Delaware, Newark, DelawareUSAFile Size: 6MB.

Fully resolved direct numerical simulations (DNSs) have been performed with a high-order spectral element method to study the flow of an incompressible viscous fluid in a smooth circular pipe of. Direct numerical simulation of turbulent pipe ow using the lattice Boltzmann method.

Cheng Penga, Nicholas Genevaa, Zhaoli Guob, Lian-Ping Wanga,b. aDepartment of Mechanical Engineering, Spencer Laboratory, University of Delaware, Newark, DelawareSize: 8MB. The Direct Numerical Simulation (DNS) of the turbulent flow of incompressible fluid in a plane channel has been executed at three values of the friction-velocity Reynolds number, using a hybrid CPU/GPU computing architecture, and an analysis has been performed of the characteristics of the vortical structures in the wall region of the turbulent Cited by: 1.

[3] Loulou, P., Moser, R., Mansour N. and Cantwell, B. () Direct Simulation of Incompressible Pipe Flow Using a b-Spline Spectral Method. Technical Report TMNASA-Ames Research Center, Mountain View. [4] Wu, X.

and Moin,P. () A Direct Numerical Simulation Study on the Mean Velocity Characteristics in Pipe Size: KB. The direct numerical simulation of turbulence (DNS) has become a method of outmost importance for the investigation of turbulence physics, and its relevance is constantly growing due to the increasing popularity of high-performance-computing by: Direct numerical simulation of incompressible pipe flow using a b-spline spectral method (OCoLC) Online version: Loulou, Patrick.

Direct numerical simulation of incompressible pipe flow using a B-spline spectral method (OCoLC) Material Type: Government publication, National government publication: Document Type: Book. Cantwell B. Direct simulation of incompressible pipe flow using a b-spline spectral method.

Technical Report TMNASA-Ames Research Center, [4] Wu X and Moin P. A direct numerical simulation study on the mean velocity characteristics in pipe flow. This book consists of 37 articles dealing with simulation of incompressible flows and applications in many areas.

It covers numerical methods and algorithm developments as well as applications in aeronautics and other areas. It represents the state of the art in the field.

Contents: Navier–Stokes Solvers; Projection Methods; Finite Element. Direct numerical simulation of incompressible pipe flow using a b-spline spectral method (OCoLC) Microfiche version: Direct numerical simulation of incompressible pipe flow using a b-spline spectral method (OCoLC) Material Type: Document, Government publication, National government publication, Internet resource: Document Type.

Direct Numerical Simulation of Incompressible Pipe Flow Using a B-Spline Spectral Method Patrick Loulou, Robert D. Moser, N. Mansour, Brian J. Cantwell Physics. Spectral methods involve seeking the solution to a differential equation in terms of a series of known, smooth functions.

They have recently emerged as a viable alternative to finite difference and finite element methods for the numerical solution of partial differential equations. incompressible flow of viscous fluid B. Emek Abali ∗† Abstract Despite its numerical challenges, finite element method is used to compute viscous fluid flow.

A consensus on the cause of numerical problems has been reached; however, general algorithms—allowing a robust and accurate simulation for any process—are still missing. Loulou, “ Direct simulation of incompressible pipe flow using a B-spline spectral method,” Ph.D.

thesis (Department of Aeronautics and Astronautics, SUDAARCited by: This study deals with the numerical solution of a 2D unsteady flow of a compressible viscous fluid in a channel for low inlet airflow velocity.

The unsteadiness of the flow is caused by a prescribed periodic motion of a part of the channel wall with large amplitudes, nearly closing the channel during oscillations.

The flow is described by the system of Navier-Stokes equations for laminar by: 2. {13} P. Loulou, Direct Numerical Simulation of Incompressible Flow Using a B-Spline Spectral Method, Ph.D.

thesis, Department of Aeronautics and Astronautics, Stanford University, 14 {14} P. Loulou, R.D. Moser, N.N. Mansour, B.J. Cantwell, Direct numerical simulation of incompressible pipe flow using a B-Spline Spectral Method, NASA Ames Cited by: 5.

Numerical Fluid Mechanics PFJL Lecture 1, 7 ii) Computational Fluid Studies and Applications Idealized simulations of compressible air flows through pipe systems Computational simulations of idealized physical and biogeochemical dynamics in oceanic straits Simulations of flow fields around a propeller using a (commercial) CFD.

Direct numerical simulation (DNS) of turbulence is a valuable tool for the study of turbulent flows. Statistical quantities computed from DNS results are commonly used both to further understanding of flow physics and test hypotheses regarding turbulence 1–3 1.

Moin and K. Mahesh, “ Direct numerical simulation: A tool in turbulence research,” Annu. Rev. Fluid Mech. 30, – ().Cited by: The current work focuses on the development and application of a new finite volume immersed boundary method (IBM) to simulate three-dimensional fluid flows and heat transfer around complex geometries.

First, the discretization of the governing equations based on the second-order finite volume method on Cartesian, structured, staggered grid is outlined, followed by the description of Cited by: 1.

() Direct Simulation of Incompressible Pipe Flow Using a b-Spline Spectral Method. Technical Report TMNASA-Ames Research Center, Mountain View. [4] Wu, X. and Moin, P. () A Direct Numerical Simulation Study on the Mean Velocity Characteristics in Pipe Flow. Journal of Fluid Mechanics,   T. Voronova and N.

Nikitin, Results of direct numerical simulation of turbulent flow in a pipe of elliptical cross-section, Fluid Dynamics, /S, 42, 2, Cited by: The development of numerical methods for multiphase flow has been motivated generally by the need to account more accurately for (a) large topological changes such as phase breakup and merging, (b) sharp representation of the interface and its discontinuous properties and (c) accurate and mass conserving motion of the by: The context of my question is how to compute high order derivates on direct numerical simulation of turbulent channel flow.

It is of particular interest for fluid dynamics and turbulence research. finite-difference interpolation spectral-method b-spline. asked Jul 21 '17 at Hydro Guy. 3 3 bronze badges. vote. 0answers.

A Chebyshev Collocation Spectral Method for Numerical Simulation of Incompressible Flow Problems This paper concerns the numerical simulation of internal recirculating flows encompassing a two-dimensional viscous incompressible flow generated inside a regularized square driven cavity and over a backward-facing step.

Loulou, P. (), Direct Numerical Simulation of Incompressible Pipe Flow Using a B- spline Spectral Method, Ph.D. thesis, Department of Aeronautics and.

The numerical discrepancy does not become evident in the laminar flow simulation but in the turbulent flow simulation. To eliminate this inconsistency, a modified pressure equation based on the interpolated pressure gradient was derived for the spatial second-order discrete equation by:.

() Analysis of a directional hydraulic valve by a Direct Numerical Simulation using an immersed-boundary method. Energy Conversion and Managem () Optimization of multigrid based elliptic solver for large scale simulations in the FLASH by: In this article we discuss a methodology that allows the direct numerical simula-tion of incompressible viscous fluid flow past moving rigid bodies.

The simulation methods rest essentially on the combination of: (a) Lagrange-multiplier-based fictitious domain methods which allow the fluid flow computations to be done in a fixed flow region.lid-driven cavity flow are simulated to validate the analysis.

The projection method is also used to do the direct numerical simulation (DNS) of a fully developed channel flow. 1. INTRODUCTION The dimensionless unsteady incompressible Navier-Stokes equations in pri-mitive variables can be written as qu qt þu Hu ¼ Hpþ 1 Re H2u ð1aÞ H u ¼.

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