Abstract
In this paper, a hybrid scheme based on fifth-order finite difference WENO scheme is proposed for solving spurious oscillation in strong shock-capturing. In this scheme, we consider smoothness indicator as a measurement of gradient and construct a function of indicator, using which the new hybrid can switch between WENO scheme and Lax-Friedrichs (LxF) scheme. Numerical experiments demonstrate that the hybrid scheme dominates the accuracy of the solution in smooth region and non-oscillation can be promised around discontinuity. The new hybrid scheme could essentially preserve positive density and positive pressure. The idea of constructing the hybrid can be easily extended to other high resolution schemes (TVD, ROE etc.) coupled with WENO scheme. These ideas will be illustrated in further study.
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.
