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Rapidly Varying Flow

Rapidly varying flow (RVF) in open channels is characterized by abrupt changes in flow depth over a short distance, with the rate of depth change relative to distance often approaching unity. These flows are inherently complex due to their transient and multi-dimensional nature, making exact analysis difficult. However, approximate solutions using simplified models provide valuable insights into their behavior.Key Features of Rapidly Varying FlowRVF is commonly observed in scenarios involving...
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Updated: May 16, 2026

Simulating Impacts of Ice Storms on Forest Ecosystems
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Published on: June 30, 2020

Frequency response of ice streams.

C Rosie Williams1, Richard C A Hindmarsh, Robert J Arthern

  • 1British Antarctic Survey , High Cross, Madingley Road, Cambridge CB3 0ET, UK.

Proceedings. Mathematical, Physical, and Engineering Sciences
|December 1, 2012
PubMed
Summary
This summary is machine-generated.

Ice stream grounding line changes propagate inland through distinct mechanisms. Low frequencies transmit changes via flow and geometry, while high frequencies use direct stress transmission, impacting sea level.

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Area of Science:

  • Glaciology
  • Ice stream dynamics
  • Sea level rise

Background:

  • Grounding line changes in ice streams significantly impact inland ice and global sea levels.
  • The mechanisms driving upstream propagation of these frontal changes remain poorly understood.
  • Understanding these mechanisms is crucial for accurate sea level rise predictions.

Purpose of the Study:

  • To investigate the frequency-dependent mechanisms of upstream propagation of changes in ice streams.
  • To analyze how basal and lateral resistance influence the transmission of these changes.
  • To model the response of ice streams to periodic forcing and sudden ice-shelf changes.

Main Methods:

  • Utilized a one-dimensional, linearized membrane stress approximation for an idealized ice stream.
  • Examined the frequency response to periodic forcing in the downstream strain rate.
  • Simulated sudden ice-shelf changes using a square-wave function by summing frequency solutions.

Main Results:

  • Identified two distinct behavioral branches based on forcing frequency.
  • Low frequencies (centennial-millennial) show covariance of slope and thickness propagating hundreds of kilometers, explained by shallow-ice approximation.
  • High frequencies (decadal) exhibit rapid velocity adjustment with minimal thickness change, propagating tens of kilometers via direct membrane stress transmission.

Conclusions:

  • Upstream propagation mechanisms differ significantly with forcing frequency, influencing ice stream behavior.
  • Propagation properties exhibit considerable variation across Antarctic ice streams.
  • The study provides insights into the dynamical response of ice streams to ice-shelf changes, crucial for sea level projections.