THE MULTIDIMENSIONAL POSITIVE DEFINITE ADVECTION TRANSPORT ALGORITHM - NONOSCILLATORY OPTION

This paper presents a nonoscillatory option (i.e., free of dispersive ripples) of the advection algorithm described previously in J. Comput. Phys. (54 (1984), 325; 67 (1986), 396). The approach adopted merges the flux-corrected transport methodology with the iterative formalism of the algorithm. Further discussion of the algorithm's accuracy is included. Theoretical considerations are illustrated through numerical tests and examples of applications to atmospheric fluid dynamics problems. © 1990.