Advanced search
Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 30, 1996 - Issue 2
Submit an article Journal homepage
85
Views
28
CrossRef citations to date
0
Altmetric
Original Articles

THE NORMALIZED WEIGHTING FACTOR METHOD: A NOVEL TECHNIQUE FOR ACCELERATING THE CONVERGENCE OF HIGH-RESOLUTION CONVECTIVE SCHEMES

M. S. Darwish Department of Mechanical Engineering, American University of Beirut, P.O. Box 11-0236, Beirut, Lebanon
&
F. Moukalled Department of Mechanical Engineering, American University of Beirut, P.O. Box 11-0236, Beirut, Lebanon
Pages 217-237 | Received 10 Nov 1995, Accepted 23 Feb 1996, Published online: 25 Apr 2007

Citations (28)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (5)

Yangyu Deng, Yakun Liu, Di Zhang, Jian Wu & Dong Zhang. (2023) Modified far-upwind reconstruction methods for the implementation of NVSF schemes on unstructured grids. Numerical Heat Transfer, Part B: Fundamentals 83:5, pages 292-322.
Read now
T. Chourushi. (2018) Computationally inexpensive and revised normalized weighting factor method for segregated solvers. International Journal of Computer Mathematics 95:8, pages 1622-1653.
Read now
R.F. Carvalho, C.M. Lemos & C.M. Ramos. (2008) Numerical computation of the flow in hydraulic jump stilling basins. Journal of Hydraulic Research 46:6, pages 739-752.
Read now
F. Moukalled & M. S. Darwish. (1998) NEW FAMILY OF ADAPTIVE VERY HIGH RESOLUTION SCHEMES. Numerical Heat Transfer, Part B: Fundamentals 34:2, pages 215-239.
Read now
M. S. Darwish & F. Moukalled. (1998) AN EFFICIENT VERY-HIGH-RESOLUTION SCHEME BASED ON AN ADAPTIVE-SCHEME STRATEGY. Numerical Heat Transfer, Part B: Fundamentals 34:2, pages 191-213.
Read now

Articles from other publishers (23)

Jessica Mariño-Salguero & Michael Schäfer. (2020) A Modified Normalized Weighting Factor method for improving the efficiency of the blended high-resolution advection schemes in the context of multiphase flows. Experimental and Computational Multiphase Flow 3:3, pages 208-225.
Crossref
Carlos Enrique Torres-Aguilar, Pedro Moreno-Bernal, Jesús Xamán, Ivett Zavala Guillen & Irving Osiris Hernández-López. (2021) An evolutionary algorithm for controlling numerical convergence of the radiative transfer equation with participating media using TVD interpolation schemes. Engineering Computations 38:6, pages 2552-2574.
Crossref
R. Alvarado-Juárez, M. Montiel-González, H.I. Villafán-Vidales, C.A. Estrada & J. Flores-Navarrete. (2020) Experimental and numerical study of conjugate heat transfer in an open square-cavity solar receiver. International Journal of Thermal Sciences 156, pages 106458.
Crossref
Carlos Enrique Torres-Aguilar, Jesús Xamán, Pedro Moreno-Bernal, Iván Hernández-Pérez, Ivett Zavala-Guillén & Irving Osiris Hernández-López. (2020) Acceleration of the numerical solution for the radiative transfer equation using a modified relaxation factor. Engineering Computations 37:5, pages 1823-1847.
Crossref
Cheng Wang, Haiyang Huang, Xiongming Lai & Jianwei Chen. (2019) A New Online Operational Modal Analysis Method for Vibration Control for Linear Time-Varying Structure. Applied Sciences 10:1, pages 48.
Crossref
T. Chourushi. (2019) Proposition of modified convection boundedness criterion and its evaluation for the development of bounded schemes. Applied Mathematics and Computation 346, pages 710-739.
Crossref
Nicolò Viti, Daniel Valero & Carlo Gualtieri. (2018) Numerical Simulation of Hydraulic Jumps. Part 2: Recent Results and Future Outlook. Water 11:1, pages 28.
Crossref
T. Chourushi. (2018) A High Resolution Equi-Gradient scheme for convective flows. Applied Mathematics and Computation 338, pages 123-140.
Crossref
J. Xamán, I. Hernández-López, J. Uriarte-Flores, I. Hernández-Pérez, I. Zavala-Guillén, P. Moreno-Bernal & J.F. Hinojosa. (2018) - factor: A modified relaxation factor to accelerate the convergence rate of the radiative transfer equation with high-order resolution schemes using the Normalized Weighting-Factor method . Computer Physics Communications 231, pages 72-93.
Crossref
J. Xamán, I. Zavala-Guillén, I. Hernández-López, J. Uriarte-Flores, I. Hernández-Pérez, E.V. Macías-Melo & K.M. Aguilar-Castro. (2018) Evaluation of the CPU time for solving the radiative transfer equation with high-order resolution schemes applying the normalized weighting-factor method. Journal of Quantitative Spectroscopy and Radiative Transfer 208, pages 45-63.
Crossref
Piyang Liu, Jun Yao, Gary Douglas Couples, Jingsheng Ma, Zhaoqin Huang & Hai Sun. (2017) Modeling and simulation of wormhole formation during acidization of fractured carbonate rocks. Journal of Petroleum Science and Engineering 154, pages 284-301.
Crossref
F. Moukalled, L. Mangani & M. DarwishF. Moukalled, L. Mangani & M. Darwish. 2016. The Finite Volume Method in Computational Fluid Dynamics. The Finite Volume Method in Computational Fluid Dynamics 429 488 .
Di Zhang, Chunbo Jiang, Chen Yang & Yan Yang. (2014) Assessment of different reconstruction techniques for implementing the NVSF schemes on unstructured meshes. International Journal for Numerical Methods in Fluids 74:3, pages 189-221.
Crossref
Wei Gao, Hong Li, Yang Liu & Yong-Jun Jian. (2011) An oscillation-free high order TVD/CBC-based upwind scheme for convection discretization. Numerical Algorithms 59:1, pages 29-50.
Crossref
F. Moukalled, A. Abdel Aziz & M. Darwish. (2011) Performance comparison of the NWF and DC methods for implementing High-Resolution schemes in a fully coupled incompressible flow solver. Applied Mathematics and Computation 217:11, pages 5041-5054.
Crossref
M. Darwish, I. Sraj & F. Moukalled. (2009) A coupled finite volume solver for the solution of incompressible flows on unstructured grids. Journal of Computational Physics 228:1, pages 180-201.
Crossref
Xuchang Xu, Zhigang Wang, Yuqun Zhuo & Changhao Zheng. (2007) False diffusion in numerical simulation of combustion processes in tangential-fired furnace. Journal of Mechanical Science and Technology 21:11.
Crossref
M Darwish & F Moukalled. (2003) The χ-schemes: a new consistent high-resolution formulation based on the normalized variable methodology. Computer Methods in Applied Mechanics and Engineering 192:13-14, pages 1711-1730.
Crossref
M. A. Alves, P. J. Oliveira & F. T. Pinho. (2002) A convergent and universally bounded interpolation scheme for the treatment of advection. International Journal for Numerical Methods in Fluids 41:1, pages 47-75.
Crossref
M.A. Alves, P. Cruz, A. Mendes, F.D. Magalhães, F.T. Pinho & P.J. Oliveira. (2002) Adaptive multiresolution approach for solution of hyperbolic PDEs. Computer Methods in Applied Mechanics and Engineering 191:36, pages 3909-3928.
Crossref
C. Guenther & M. Syamlal. (2001) The effect of numerical diffusion on simulation of isolated bubbles in a gas–solid fluidized bed. Powder Technology 116:2-3, pages 142-154.
Crossref
M.A. Alves, F.T. Pinho & P.J. Oliveira. (2001) The flow of viscoelastic fluids past a cylinder: finite-volume high-resolution methods. Journal of Non-Newtonian Fluid Mechanics 97:2-3, pages 207-232.
Crossref
E.R.G. Eckert, R.J. Goldstein, W.E. Ibele, T.W. Simon, T.H. Kuehn, P.J. Strykowski, K.K. Tamma, A. Bar-Cohen, J.V.R. Heberlein, J.H. Davidson, J. Bischof, F. Kulacki & U. Kortshagen. (2000) Heat transfer — a review of 1996 literature. International Journal of Heat and Mass Transfer 43:8, pages 1273-1371.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.