BENCHMARKING LAVA FLOWS -BM2- INCLINED ISOTHERMAL VISCOUS SPREADING

By Fanny Garel1, Benoit BJR Cordonnier2, Einat Lev3

1. Cardiff University, UK 2. University Of California Berkeley // ETH Zurich Switzerland 3. Lamont-Doherty Earth Observatory, New York, USA

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Abstract

The lava flow team has agreed on benchmarking series.
Among which, benchmark #2 represents a benchmark test for an isothermal viscous flow on an inclined plane.
This benchmark, combined with BM#1, is useful to test how well fast-computing models handle a simple viscous flow geometry.

Flow Characteristics:

The material is a newtonian liquid of constant viscosity and density injected at a constant supply rate. The isothermal flow spreads onto a flat support with a given slope.
This benchmark is based on the theoretical analytical solution derived by Lister (1992), and the analogue experiments (using silicone oil) presented in the same paper.



Full Resolution

Test 1: theoretical scaling laws

In order to test if a code can reproduce the scaling laws derived by Lister (1992), we propose the following simulations parameters:

  • Vent geometry: point source,
  • Slope: 10o,
  • Effusion rate 0.1, 1 and 10 m3/s,
  • Viscosity: 1000 Pa.s,
  • Density: 2700 kg/m3.

The downslope extent Ld should scale as time to the power 7/9, and as effusion rate to the power 4/9.
The cross slope extent yP at one given downslope location should scale as time to the power 1/3 and effusion rate to the power 1/3.
The upslope extent Lu is predicted to rapidly reach a steady value.

Test 2: flow spreading for an analogue experiment

This test corresponds to the experiment 1 of Lister (1992).

  • Vent geometry: point source,
  • Slope: 2.5o,
  • Supply rate 1.48 10-6 m3/s,
  • Kinematic viscosity: 11.3 10-4 m2/s. (Density about 885 kg/m3 and dynamic viscosity about 1 Pa.s)

The output should be compared to the experimental mesurements of (i) flow front advance and (ii) flow contours. See the readme file for more explanation.


References:

Lister, J. R. (1992), Viscous flows down an inclined plane from point and line sources, Journal of Fluid Mechanics, 242, 631–653..

Cite this work

Researchers should cite this work as follows:

  • Fanny Garel; Benoit BJR Cordonnier; Einat Lev (2014), "BENCHMARKING LAVA FLOWS -BM2- INCLINED ISOTHERMAL VISCOUS SPREADING," https://theghub.org/resources/3492.

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