Computational Geosciences

, Volume 16, Issue 4, pp 1125–1134

Pathline tracing on fully unstructured control-volume grids

Original Paper

DOI: 10.1007/s10596-012-9307-1

Cite this article as:
Painter, S.L., Gable, C.W. & Kelkar, S. Comput Geosci (2012) 16: 1125. doi:10.1007/s10596-012-9307-1

Abstract

The trend toward unstructured grids in subsurface flow modeling has prompted interest in the issue of streamline or pathline tracing on unstructured grids. Streamline tracing on unstructured grids is problematic because a continuous velocity field is required for the calculation, while numerical solutions to the groundwater flow equations provide velocity in discretized form only. A method for calculating flow streamlines or pathlines from a finite-volume flow solution is presented. The method uses an unconstrained least squares method on interior cells and a constrained least squares method on boundary cells to approximate cell-centered velocities, which can then be continuously interpolated to any point in the domain of interest. Two-dimensional tests demonstrate that the method correctly reproduces uniform and corner-to-corner flow on fully unstructured grids. In three dimensions using regular hexahedral grids, the method agrees well with established semianalytical methods. Tests also demonstrate that the method produces physically realistic results on fully unstructured three-dimensional grids.

Keywords

Streamline Pathline Particle tracking Control volume Unstructured grid Finite volume Groundwater flow 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media B.V. (outside the USA) 2012

Authors and Affiliations

  1. 1.Computational Earth Sciences GroupLos Alamos National LaboratoryLos AlamosUSA

Personalised recommendations