A general semi-lagrangian advection scheme employing forward trajectories

✍ Scribed by Wen-Yih Sun; Kao-San Yeh

• Book ID: 104576273
• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 982 KB
• Volume: 123
• Category: Article
• ISSN: 0035-9009
• DOI: 10.1002/qj.49712354415

✦ Synopsis

Abstract

We propose a semi‐Lagrangian advection scheme using forward trajectories, and a general interpolation procedure from the irregularly distributed Lagrangian grid to the regularly distributed Eulerian grid. the general interpolation procedure has virtually no restrictions, and the advection scheme is absolutely stable due to the direct calculation of forward trajectories. They are, therefore, applicable to problems of any extent of deformation with arbitrary Courant numbers. the scheme is also quite efficient, because this interpolation procedure converts a two‐dimensional problem into a sequence of one‐dimensional problems by employing an intermediate grid. the slotted cylinder of Zalesak under the motion of solid‐body rotation is tested to assess the accuracy of this ‘internet interpolation method’. the idealized cyclogenesis of Doswell is simulated to demonstrate the ability of the advection scheme to accommodate strong deformation flows. Both tests indicate satisfactory accuracy.