Abstract
In Computational Fluid Dynamics (CFD) we have to deal with various types of phenomena with strong discontinuities at different length scales like turbulence or hypersonic flows. It is essential that the numerical techniques must provide accurate approximation to calculate the time and space-derivatives. This paper focuses on the behavior of the solution of some known numerical schemes in comparison with analytical solution provided here for the first time, applied on one-dimensional conservation law with different fluxes and non-usual different initial conditions. The results are very interesting in the sense that methods which report very good results on classical tests schemes were not able to accurately predict solutions that admit discontinuities and sharp gradients inside.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
