Modeling of flow and transport is an essential component of many scientific and engineering applications, with increased interests in the recent years. Application areas vary widely, and include groundwater contamination, carbon sequestration, air pollution, petroleum exploration and recovery, weather prediction, chemical separation processes, and many others. However, accurate mathematical and numerical simulation of flow and transport remains a challenging topic from many aspects of physical modeling, numerical analysis, and scientific computation. An important step of its numerical solution procedure is to apply advanced discretization methods (e.g., finite elements, finite volumes, and finite differences) to the governing equations. Another important solution step is the design of fast and accurate solvers for the large-scale linear and nonlinear algebraic equation systems that result from discretization. Solution techniques of interest include multiscale algorithms, mesh adaptation, parallel algorithms and implementation, efficient splitting or decomposition schemes, and others.

We invite original research articles as well as review articles describing the recent advances in mathematical and numerical modeling of flow and transport. Potential topics include, but are not limited to:

• Modeling of flow and transport in porous media or in open spaces
• Spatial discretization based on advanced finite element, finite volume, or finite different methods
• Temporal discretization for flow and transport
• Decomposition methods for improved efficiency/accuracy in treating flow and transport problems
• Decomposition methods for nonlinear differential equations and dynamical systems arising in flow and transport
• Parallel computations and implementation of flow and transport simulation
• A-priori and a-posteriori error estimates in discretizations and decompositions
• Multiscale and/or adaptive algorithms and implementation
• Applications of flow and transport simulation, such as oil reservoir engineering, groundwater hydrology, bioremediation, complex flow phenomena and others

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/jam/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/ according to the following timetable: