Adaptive streamline tracing for streamline ...

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XVI International Conference on Computational Methods in Water Resources (CMWR-XVI) Ingeniørhuset

Adaptive streamline tracing for streamline simulation on irregular grids
Paper
Author:Håkon Hægland <hakonh@mi.uib.no> (University of Bergen)
Helge Dahle <reshd@mi.uib.no> (University of Bergen)
Geir Terje Eigestad <geirte@mi.uib.no> (CIPR, University of Bergen)
Knut-Andreas Lie <knut-andreas.lie@sintef.no> (SINTEF, Dept. of Applied Math., Oslo)
Ivar Aavatsmark <ivar.aavatsmark@cipr.uib.no> (CIPR, University of Bergen)
Presenter:Håkon Hægland <hakonh@mi.uib.no> (University of Bergen)
Date: 2006-06-18     Track: General Sessions     Session: General
DOI:10.4122/1.1000000673
DOI:10.4122/1.1000000674

Streamline methods have shown to be effective for reservoir simulation. Streamline simulation relies on an efficient an accurate calculation of streamlines and time-of-flight coordinates (TOF). Streamlines are commonly computed on a cell-by-cell basis using a flux interpolation in the semi-analytical Pollock's method. An alternative method is a grid-cell corner-point velocity interpolation, which is able to reproduce uniform flow in three spatial dimensions. For this method numerical integration of streamlines is required. The shape of streamlines are affected by a change in velocity direction over a cell, whereas TOF is sensitive to variation in the absolute value of the velocity. Hence, an adaptive method should be used to control the error in the numerical integration of the velocity. In this work, we propose a method for adaptive step size selection for numerical integration of streamlines, and compare it with existing methods.