Abstract
In this paper we consider two aspects of flux splitting, one at the level of the differential equations and another concerned with numerical methods to discretize the resulting problems. In this framework there are various choices for the splitting at the level of the PDEs and many choices for their numerical discretization. Some of the existing flux splitting schemes fall within this framework. For the Euler equations we propose a new flux splitting and study the associated two systems of differential equations, called the advection system and the pressure system. For each of the splittings studied we analyse the resulting two systems of differential equations and propose discretization schemes of the Godunov type. These schemes are simple, robust and accurate when compared with existing methods. Moreover, they enjoy a most desirable property: recognition of contact discontinuities and shear waves.
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.
