Mixed finite elements for accurate particle tracking in saturated groundwater flow

Mass Conserving Schemes for Saturated Groundwater Flow

Local mass conservation is of great importance for accurate simulation of fluid flows, especially if the resulting velocity field is to be coupled to a transport equation. Previous work on simulation of saturated groundwater flows have used both mixed finite element methods and discontinuous Galerkin methods to achieve local mass conservation. However, legacy code using a continuous Galerkin fi...

Particle Velocity Interpolation in BlockCentered Finite Difference Groundwater Flow Models

A block-centered, finite difference model of two-dimensional groundwater flow yields velocity values at the midpoints of interfaces between adjacent blocks. Method of characteristics, random walk and particle-tracking models of solute transport equire velocities at arbitrary particle locations within the finite difference grid. Particle path lines and travel times are sensitive to the spatial i...

Groundwater recharge simulation using a coupled saturated-unsaturated flow model

Abstract The coupled MODFLOW-HYDRUS software package was used to produce a saturated-unsaturated flow model for a Flood Spreading System (FSS) and its associated aquifer. The study aim to improve simulations of near-surface hydrological processes, including temporal and spatial variation in groundwater recharge rates. The coupled model was built with average RMSE=1.1 and 1.3 for calibration ...

Mixed finite elements for elasticity

There have been many efforts, dating back four decades, to develop stablemixed finite elements for the stress-displacement formulation of the plane elasticity system. This requires the development of a compatible pair of finite element spaces, one to discretize the space of symmetric tensors in which the stress field is sought, and one to discretize the space of vector fields in which the displ...

Mixed Finite Elements in Diffpack