Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Comparison of method of lines and finite difference solutions of 2-D Navier-Stokes equations for transient laminar pipe flow
Date
2002-03-10
Author
Selçuk, Nevin
Tanrikulu, S
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
272
views
0
downloads
Cite This
Performances of method of lines (MOL) and finite difference method (FDM) were tested from the viewpoints of solution accuracy and central processing unit (CPU) time by applying them to the solution of time-dependent 2-D Navier-Stokes equations for transient laminar flow without/with sudden expansion and comparing their results with steady-state numerical predictions and measurements previously reported in the literature. Predictions of both methods were obtained on the same computer by using the same order of spatial discretization and the same uniform grid distribution. Axial velocity and pressure distribution in pipe flow and steady-state reattachment lengths in sudden expansion flow on uniform grid distribution predicted by both methods were found to be in excellent agreement. Transient solutions of both methods for pipe flow problem show favourable comparison and are in accordance with expected trends. However, non-physical oscillations were produced by both methods in the transient solution of sudden expansion pipe flow. MOL was demonstrated to yield non-oscillatory solutions for recirculating flows when intelligent higher-order discretization scheme is utilized for convective terms. MOL was found to be superior to FDM with respect to CPU and set-up times and its flexibility for incorporation of other conservation equations. Copyright (C) 2001 John Wiley Sons, Ltd.
Subject Keywords
Method of lines
,
Alternating direction implicit
,
Navier-Stokes
,
Unsteady incompressible flow
,
Laminar
,
Sudden expansion pipe
URI
https://hdl.handle.net/11511/30094
Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
DOI
https://doi.org/10.1002/nme.354
Collections
Graduate School of Natural and Applied Sciences, Article
Suggestions
OpenMETU
Core
Method of lines for transient flow fields
Tarhan, T; Selçuk, Nevin (2001-01-01)
A computational fluid dynamics (CFD) code based on the method of lines (MOL) approach was developed for the solution of transient, two-dimensional Navier-Stokes equations for incompressible separated internal flows in complex rectangular geometries. The predictive accuracy of the code was tested by applying it to the prediction of flow fields in both laminar and turbulent channel flows with and without sudden expansion, and comparing its predictions with either measured data or numerical results available i...
Comparison of methods for estimating carbonaceous BOD parameters
Uludag-Demirer, S; Demirer, Göksel Niyazi; Bowers, AR (Informa UK Limited, 2001-08-01)
The performance of seven different methods (Differential, Fujimoto, Thomas, Graphical, Integral, Log-Difference, and Nonlinear Regression) for estimating first-stage, carbonaceous biochemical oxygen demand (CBOD), curve parameters, namely k and L-0 were compared using synthetic data generated by Monte Carlo simulation technique. The comparison of the methods was made based on their efficiency in retrieving the original values of k and L-0 which were selected to generate the synthetic data. In the first part...
SENSITIVITY OF RADIATION MODELING TO PROPERTY ESTIMATION TECHNIQUES IN THE FREEBOARD OF LIGNITE- FIRED BUBBLING FLUIDIZED BED COMBUSTORS ( BFBCs)
Ozen, G.; Selçuk, Nevin (2014-05-04)
Predictive accuracy and computationally efficiency of method of lines (MOL) solution of the discrete ordinate method (DOM) coupled with different radiative property estimation techniques (GG, SLW, SNBCK) are assessed by applying them to the prediction of incident radiative fluxes along the freeboard walls of a 0.3 MWt atmospheric bubbling fluidized bed combustor (ABFBC) and comparing their predictions with measurements generated previously from two runs one without and the other with recycle. Freeboard is t...
Assessment of discrete ordinates method for radiative transfer in cylindrical furnaces
Selçuk, Nevin (1997-07-01)
The solution accuracy of S-n or Discrete Ordinates Method (DOM) was assessed by comparing its predictions with exact solutions reported earlier on a cylindrical enclosure problem with steep temperature gradients. The enclosure has interior black walls and an absorbing-emitting medium of constant properties. Predictive accuracy was investigated for two angular quadrature schemes: 1) the S-n discrete ordinates approximation (S-2 and S-4) and 2) the modified piecewise constant angular (PCA) approximation. Comp...
A novel cfd code based on method of lines for reacting flows: Verification on methane/air diffusion flame
Tarhan, Tanil; Selçuk, Nevin (2007-01-01)
A novel parallel computational fluid dynamic (CFD) code based on method of lines (MOL) approach was developed for the numerical simulation of multi-component reacting flows using detailed transport and thermodynamic models. The code was applied to the prediction of a confined axi-symmetric laminar co-flowing methane-air diffusion flame for which experimental data were available in the literature. 1-, 5- and 10-step reduced finite-rate reaction mechanisms were employed for methane-air combustion sub-model. S...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
N. Selçuk and S. Tanrikulu, “Comparison of method of lines and finite difference solutions of 2-D Navier-Stokes equations for transient laminar pipe flow,”
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
, pp. 1615–1628, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/30094.