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Related Experiment Video

Updated: Jun 24, 2026

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

Published on: September 17, 2021

A stable and efficient numerical algorithm for unconfined aquifer analysis.

Elizabeth Keating¹, George Zyvoloski

¹Earth and Environmental Sciences Division, Los Alamos National Laboratory, Los Alamos, NM 87544, USA. ekeating@lanl.gov

|April 4, 2009

Summary

This summary is machine-generated.

A new numerical method enhances the stability and efficiency of unconfined aquifer flow models. This approach improves groundwater simulations, even with coarse grids, making complex analyses more feasible.

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Area of Science:

Hydrogeology
Computational Fluid Dynamics
Environmental Modeling

Background:

Nonlinear equations for unconfined aquifer flow present numerical modeling challenges.
Existing methods often suffer from instability, convergence issues, and require fine grids/small time steps.
Efficient and stable models are crucial for large-scale groundwater analyses, including calibration and uncertainty quantification.

Purpose of the Study:

To develop a novel numerical method for simulating flow in unconfined aquifers with improved stability and efficiency.
To address limitations of existing methods, particularly concerning grid resolution and computational cost.
To demonstrate the method's applicability to field-scale transient analyses and mixed vadose/saturated zone problems.

Main Methods:

The proposed method adapts a MODFLOW-like strategy for solving Richard's equation using a grid-dependent pressure/saturation relationship.
It incorporates a contrast between horizontal and vertical permeability in water table gridblocks.
The method allows recharge through relatively dry cells and avoids converting dry cells to inactive status.

Main Results:

Accuracy was validated against an analytical solution for radial flow to a well in an unconfined aquifer with delayed yield.
Efficiency gains in speed and accuracy were demonstrated compared to two-phase simulations.
Improved stability was observed relative to standard MODFLOW simulations.

Conclusions:

The new method offers significant improvements in stability and efficiency for transient unconfined aquifer analysis.
It demonstrates tolerance for coarse grids, reducing computational demands.
The method shows promise for mixed vadose and saturated zone applications, including contaminant transport.