In this project, we utilized computational modeling techniques to investigate the dynamics of advection and diffusion in Uromieh Lake, a significant saltwater lake in Iran. Advection and diffusion are ...

This paper examines the dynamics of a networked, multi-agent system operating with an advection-based coordination algorithm. Flow advection is a close relative of diffusion whose discretized version ...

The main function IMEXRiemannData advances the solution of the advection-diffusion-reaction equation using an implicit-explicit (IMEX) operator splitting scheme. The code includes: Initialization of ...

Without doing any linearization, this paper mainly focuses on capturing numerical behavior of the advection-diffusion-reaction (ADR) processes with forcing terms. Since the linearization of nonlinear ...

A general class of advection-diffusion equations is considered for which a new kind of decomposition theorem exists. The systems studied have nonuniform and nonconstant advectionterms, but their ...

A Bayesian data assimilation scheme is formulated for advection-dominated advective and diffusive evolutionary problems, based upon the Dynamic Likelihood (DLF) approach to filtering. The DLF was ...

We apply the weighted-residual approach recently introduced in [F. Brezzi et al., Comput. Methods Appl. Mech. Engrg., 195 (2006), pp. 3293–3310] to derive discontinuous Galerkin formulations for ...

Diffusion processes, characterised through operators such as the graph Laplacian, foster the development of diffusion maps which yield robust, multi-scale representations.

For that reason, here, we consider a coupled bulk-surface reaction–diffusion–advection system to investigate the contribution of transport to cell polarity. Following the approach proposed in Ref. 23, ...