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  1. Journal of the Brazilian Society of Mechanical Sciences and Engineering
  2. Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 36
  3. Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 36, Issue 4, October 2014
  4. A comparison of Fourier pseudospectral method and finite volume method used to solve the Burgers equation
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Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 40
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 38
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 37
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 36
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 36, Issue 4, October 2014
Numerical simulation of pulverized wet coal combustion using detailed chemical kinetics
Analysis of syngas formation and ecological efficiency for the system of treating biomass waste and other solid fuels with CO$_{2}$ recuperation based on integrated gasification combined cycle with diesel engine
Mixed convective peristaltic transport in a vertical channel with Robin’s condition
Determining of the hydrodynamic forces on the multi-hull tunnel vessel in steady motion
Three-dimensional finite element method for rotating disk flows
The feedback effect caused by bed load on a turbulent liquid flow
A comparison of Fourier pseudospectral method and finite volume method used to solve the Burgers equation
Numerical and experimental study of a jet in a crossflow for different velocity ratio
Influence of the cutting edge micro-geometry of PCBN tools on the flank wear in orthogonal quenched and tempered turning M2 steel
Correlating tool wear, surface roughness and corrosion resistance in the turning process of super duplex stainless steel
Influence of the manufacturing process in performance concerning wear of total hip prostheses
Experimental investigation of hole quality during reaming applications using multi-blade tools
Investigations into the surface quality and micro-hardness in the ultrasonic machining of titanium (ASTM GRADE-1)
Numerical investigation of the heat transfer enhancement using various viscosity models in chamber filled with water–CuO nanofluid
Numerical simulation of filling process of natural gas onboard vehicle cylinder ( Journal of the Brazilian Society of Mechanical Sciences and Engineering , Volume 36 , Issue 4 )
Modeling heat transfer with micro-scale natural convection in fibrous insulation
An integration of TRIZ and the systematic approach of Pahl and Beitz for innovative conceptual design process
DTW: a design method for designing robot end-effectors
Orthotropic material models for the nonlinear analysis of structural membranes
A method for reduction of uncertainties in reservoir model using observed data: application to a complex case
Automatic history matching considering surrogate-based optimization and Karhunen–Loève expansions
Torque for an electromechanical integrated harmonic piezodrive system
Effect of interfacial powder on mechanical properties of composites under dynamic tests
Non-Newtonian nanofluid free convection flow subject to mixed thermal boundary conditions about a vertical cone
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 36, Issue 3, May 2014
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 36, Issue 2, February 2014
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 36, Issue 1, January 2014
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 35

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A comparison of Fourier pseudospectral method and finite volume method used to solve the Burgers equation

Content Provider SpringerLink
Author Nascimento, A. A. Padilla, E. L. M. Mariano, F. P. Silveria Neto, A.
Copyright Year 2014
Abstract The Burger’s equation serves as a useful mathematical model to be applied in fluid dynamic problems. Besides, this equation is often used to test and compare numerical techniques. In the present paper, the numerical solutions determined by both the finite volume method (FVM) and the Fourier pseudospectral method (FPM), and the results are compared with the analytical, exact solution. Furthermore, performance in obtaining the results is properly reported. The analysis includes periodic and non-periodic domains, for both methods. The non-linear term in the FVM, is discretion by using upwind and central-differencing schemes, showing a rate of convergence for the second-order accurate. Due requirement of the domains in FPM to be periodic, in the present work, the immersed boundary methodology is used, to solve the equation at non-periodic domains. It will also be shown that this approach damages the accuracy and the rate convergence of the FPM.
Starting Page 737
Ending Page 742
Page Count 6
File Format PDF
ISSN 16785878
Journal Journal of the Brazilian Society of Mechanical Sciences and Engineering
Volume Number 36
Issue Number 4
e-ISSN 18063691
Language English
Publisher Springer Berlin Heidelberg
Publisher Date 2014-02-27
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Finite volume method Immersed boundary method Mechanical Engineering Burgers equation Fourier pseudospectral method
Content Type Text
Resource Type Article
Subject Applied Mathematics Industrial and Manufacturing Engineering Automotive Engineering Mechanical Engineering Aerospace Engineering
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