Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 42, 2002 - Issue 2
64
Views
24
CrossRef citations to date
0
Altmetric
Original Articles

UNIDIMENSIONAL NUMERICAL SOLUTION ERROR ESTIMATION FOR CONVERGENT APPARENT ORDER

Pages 167-188 | Published online: 30 Nov 2010

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

Read on this site (5)

Jean Michael Borges de Oliveira, Luciano Kiyoshi Araki, Marcio Augusto Villela Pinto & Simone de Fátima Tomazzoni Gonçalves. (2023) An alternative full multigrid SIMPLEC approach for the incompressible Navier–Stokes equations. Numerical Heat Transfer, Part B: Fundamentals 83:6, pages 410-432.
Read now
Shan-Cong Mou, Yu-Xuan Luan, Wen-Tao Ji, Jian-Fei Zhang & Wen-Quan Tao. (2017) An example for the effect of round-off errors on numerical heat transfer. Numerical Heat Transfer, Part B: Fundamentals 72:1, pages 21-32.
Read now
C. H. Marchi, F. F. Giacomini & C. D. Santiago. (2016) Repeated Richardson extrapolation to reduce the field discretization error in computational fluid dynamics. Numerical Heat Transfer, Part B: Fundamentals 70:4, pages 340-353.
Read now
Tien-Mo Shih, Chandrasekhar Thamire, Chao-Ho Sung & An-Lu Ren. (2010) Literature Survey of Numerical Heat Transfer (2000–2009): Part I. Numerical Heat Transfer, Part A: Applications 57:3-4, pages 159-296.
Read now
Márcio André Martins & Carlos Henrique Marchi. (2008) Estimate of Iteration Errors in Computational Fluid Dynamics. Numerical Heat Transfer, Part B: Fundamentals 53:3, pages 234-245.
Read now

Articles from other publishers (19)

Shabahat Hasnain Qamar & Adrian David Cheok. (2023) Numerical Simulation and Computational Fluid Dynamics Analysis of Two-Dimensional Lid-Driven Cavity Flow Within the Weapon Bay of an Autonomous Fighter Drone. Qeios.
Crossref
Vojtěch Turek, Zdeněk Jegla, Miloslav Dohnal & Marcus Reppich. (2022) Using Numerical Dissipation Rate and Viscosity to Assess Turbulence‐Related Data Accuracy – Part 1: Experimental Setup. Chemie Ingenieur Technik 95:9, pages 1441-1447.
Crossref
Luciano Pereira da Silva, Messias Meneguette Junior & Carlos Henrique MarchiLuciano Pereira da Silva, Messias Meneguette Junior & Carlos Henrique Marchi. 2023. Numerical Solutions Applied to Heat Transfer with the SPH Method. Numerical Solutions Applied to Heat Transfer with the SPH Method 77 115 .
Luciano Pereira da Silva, Messias Meneguette Junior & Carlos Henrique MarchiLuciano Pereira da Silva, Messias Meneguette Junior & Carlos Henrique Marchi. 2023. Numerical Solutions Applied to Heat Transfer with the SPH Method. Numerical Solutions Applied to Heat Transfer with the SPH Method 51 75 .
Luciano Pereira da Silva, Messias Meneguette Junior & Carlos Henrique MarchiLuciano Pereira da Silva, Messias Meneguette Junior & Carlos Henrique Marchi. 2023. Numerical Solutions Applied to Heat Transfer with the SPH Method. Numerical Solutions Applied to Heat Transfer with the SPH Method 7 49 .
Beatriz F. Souza, Carla T. M. Anflor & Ariosto B. Jorge. (2021) Application of Modified Adaptive Morphogenesis and Robust Optimization Algorithms for thin stiffened plates. Engineering with Computers 38:S4, pages 3391-3407.
Crossref
L.P. da Silva, C.H. Marchi, M. Meneguette & A.C. Foltran. (2022) Robust RRE technique for increasing the order of accuracy of SPH numerical solutions. Mathematics and Computers in Simulation 199, pages 231-252.
Crossref
Sandro Rodrigues, Márcio Augusto Villela Pinto, Márcio André Martins & Sebastião Romero Franco. (2022) Reducing the discretization error for a poroelasticity problem in variables having extreme values. Journal of the Brazilian Society of Mechanical Sciences and Engineering 44:4.
Crossref
Carlos Henrique Marchi, Cosmo Damião Santiago & Carlos Alberto Rezende de Carvalho, Jr.. (2021) Lid-Driven Square Cavity Flow: A Benchmark Solution With an 8192 × 8192 Grid. Journal of Verification, Validation and Uncertainty Quantification 6:4.
Crossref
H.F. Wong, N. Ahmad, Z. Siri & N.F.M. Noor. (2021) Viscous heating and cooling process in a mixed convection cavity with free-slip effect. Case Studies in Thermal Engineering 28, pages 101349.
Crossref
Luciano Pereira da Silva, Bruno Benato Rutyna, Aline Roberta Santos Righi & Marcio Augusto Villela Pinto. (2021) High Order of Accuracy for Poisson Equation Obtained by Grouping of Repeated Richardson Extrapolation with Fourth Order Schemes. Computer Modeling in Engineering & Sciences 128:2, pages 699-715.
Crossref
H. F. Wong, Muhammad Sohail, Z. Siri & N. F. M. Noor. (2021) Numerical Solutions for Heat Transfer of An Unsteady Cavity with Viscous Heating. Computers, Materials & Continua 68:1, pages 319-336.
Crossref
Nicholas D.P. da Silva, Carlos H. Marchi, Luciano K. Araki, Rafael B. de Rezende Borges, Guilherme Bertoldo & Chi-Wang Shu. (2020) Completed repeated Richardson extrapolation for compressible fluid flows. Applied Mathematical Modelling 77, pages 724-737.
Crossref
Luciano Kiyoshi Araki & Carlos Henrique Marchi. (2017) Verification and validation of numerical solutions of two-dimensional reactive flow in rocket engine nozzles. Applied Mathematical Modelling 52, pages 544-557.
Crossref
Guilherme Bertoldo & Carlos Henrique Marchi. (2017) Verification and validation of the foredrag coefficient for supersonic and hypersonic flow of air over a cone of fineness ratio 3. Applied Mathematical Modelling 44, pages 409-424.
Crossref
Carlos Henrique Marchi, Márcio André Martins, Leandro Alberto Novak, Luciano Kiyoshi Araki, Márcio Augusto Villela Pinto, Simone de Fátima Tomazzoni Gonçalves, Diego Fernando Moro & Inajara da Silva Freitas. (2016) Polynomial interpolation with repeated Richardson extrapolation to reduce discretization error in CFD. Applied Mathematical Modelling 40:21-22, pages 8872-8885.
Crossref
Carlos Henrique Marchi, Leandro Alberto Novak, Cosmo Damião Santiago & Ana Paula da Silveira Vargas. (2013) Highly accurate numerical solutions with repeated Richardson extrapolation for 2D laplace equation. Applied Mathematical Modelling 37:12-13, pages 7386-7397.
Crossref
C.H. Marchi, L.K. Araki, A.C. Alves, R. Suero, S.F.T. Gonçalves & M.A.V. Pinto. (2013) Repeated Richardson extrapolation applied to the two-dimensional Laplace equation using triangular and square grids. Applied Mathematical Modelling 37:7, pages 4661-4675.
Crossref
Pablo A. Oliveira, Paulo V. Trevizoli, Jader R. BarbosaJr.Jr. & Alvaro T. Prata. (2012) A 2D hybrid model of the fluid flow and heat transfer in a reciprocating active magnetic regenerator. International Journal of Refrigeration 35:1, pages 98-114.
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:

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:

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.