Abstract
AbstractA semi‐Lagrangian scheme is proposed by using forward trajectories and a splitting approach to the interpolation procedure. Several polynomial interpolation schemes are tested, including cubic spline and Lagrange polynomials of degree 3, 5 and 7. A simple filter is also proposed to eliminate spurious short waves and to achieve positive‐definiteness. Uniform, rotational and Smolarkiewicz's deformational flows are tested, a solution to the inviscid Burger's equation is also provided. This new algorithm employing cubic‐spline interpolation and the new filter yields efficient and accurate short‐term simulations. The advantage in efficiency of adopting split trajectories for interpolation is accompanied by a restriction which is slightly more stringent than the stability criterion for conventional semi‐Lagrangian advection schemes. It is also found that the simple filter can eliminate spurious short waves very effectively without degrading the solutions.
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 callMore From: Quarterly Journal of the Royal Meteorological Society
Disclaimer: 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.
