Comparison of Explicit Method of Solution for CFD Euler Problems using MATLAB® and FORTRAN 77

Autor: Hassan Abbas Khawaja, Anders Samuelsen Nordli
Jazyk: angličtina
Rok vydání: 2019
Předmět:
VDP::Teknologi: 500::Informasjons- og kommunikasjonsteknologi: 550::Datateknologi: 551
VDP::Technology: 500::Information and communication technology: 550::Computer technology: 551
Computer science
Fortran
Computational Mechanics
02 engineering and technology
Computational fluid dynamics
computer.software_genre
01 natural sciences
010305 fluids & plasmas
Physics::Fluid Dynamics
symbols.namesake
020401 chemical engineering
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
0103 physical sciences
Code (cryptography)
0204 chemical engineering
MATLAB
ComputingMilieux_MISCELLANEOUS
ComputingMethodologies_COMPUTERGRAPHICS
computer.programming_language
Fluid Flow and Transfer Processes
Numerical Analysis
Programming language
business.industry
Explicit method
lcsh:QC1-999
Mechanics of Materials
Modeling and Simulation
Euler's formula
symbols
Computer Science::Mathematical Software
business
computer
lcsh:Physics
Zdroj: International Journal of Multiphysics, Vol 13, Iss 2 (2019)
Scopus-Elsevier
ISSN: 1750-9548
Popis: Published version, available at: http://dx.doi.org/10.21152/1750-9548.13.2.203 This work presents a comparison of an explicit method of solution for an inviscid compressible fluid mechanics problem using Euler equations for two-dimensional internal flows. The same algorithm was implemented in both FORTRAN 77 and MATLAB®. The algorithm includes Runge‒Kutta time marching scheme with smoothing. Both solvers were initialized in the same manner. In addition, it was ensured that both solvers have the exact same values for time step, convergence criteria, boundary conditions, and the grid. The only difference between the two solvers was the precision of variables. The problem solved was a two-dimensional dual bump with an accelerating flow through a duct. The same algorithm solving the Euler equations of fluid flow is implemented in both FORTRAN 77 and MATLAB®, and applied to identical input. While the solutions look qualitativly the same, a 20% difference in the stationary solution is observed. No claim is made of the relevance of the computations to actual fluid flow, rather the key takeaway being that two finite and deterministic computations of the same algorithm on the same input in FORTRAN 77 and MATLAB® produce different output.
Databáze: OpenAIRE