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A Dynamic Adaptive Method for the Computation of Highly Advective or Highly Dispersive Transport Processes in Fractured Rock

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Modeling and Computation in Environmental Sciences

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NONUFM,volume 59))

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Summary

The numerical simulation of flow and transport processes in fractured rock is continuously gaining in importance, because locations in this kind of rock are intended to be used for biological, chemical or radioactive waste deposits.

The description of such complex geological formations is difficult, because the critical regions for simulation, such as sources and sinks as well as transitory regions from fracture zones to the rock matrix, require a much finer resolution than other parts of the domain. An appropriate strategy of mesh generation in the preprocessing stage is presented in this paper.

The main topic of this contribution deals with an adaptive method for the computation of highly advective and highly dispersive transport processes using dynamic data structures, refinement and recoarsement strategies. The model is based on an ‘Upwind Finite Element’ formulation. The performance of the implemented algorithm (modelling error, cpu time, storage requirement) is discussed, using a sharp front problem as an example.

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References

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Rainer Helmig Willi Jäger Wolfgang Kinzelbach Peter Knabner Gabriel Wittum

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© 1997 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden

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Barlag, C., Zielke, W. (1997). A Dynamic Adaptive Method for the Computation of Highly Advective or Highly Dispersive Transport Processes in Fractured Rock. In: Helmig, R., Jäger, W., Kinzelbach, W., Knabner, P., Wittum, G. (eds) Modeling and Computation in Environmental Sciences. Notes on Numerical Fluid Mechanics (NNFM), vol 59. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-89565-3_3

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  • DOI: https://doi.org/10.1007/978-3-322-89565-3_3

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-322-89567-7

  • Online ISBN: 978-3-322-89565-3

  • eBook Packages: Springer Book Archive

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