The multidimensional positive definite advection transport algorithm: Further development and applications
The paper presents further generalizations of the advection algorithm described earlier. Time-dependent velocity fields and a generalized form of the continuity equation are considered. Applicability of the algorithm to the diffusion equation and to the transport of nonpositive scalars is also discussed. Theoretical considerations are illustrated through numerical tests and applications to some particular geophysical fluid dynamics problems.
fully multidimensional, nonlinear, computationally efficient positive definite advective transport algorithms
generalized form of the continuity equation
scientific article; zbMATH DE number 3970375