MOVING BOUNDARY PROBLEMS ON THE EARTHS SURFACE

1
National Center for Earth-surface Dynamics an
NSF Science and Technology Center
MOVING BOUNDARY PROBLEMS ON THE EARTHS
SURFACE V.R. Voller, J. B. Swenson, W. Kim and
C. Paola National Center for Earth-surface
Dynamics University of Minnesota,
Minneapolis Dept. Geological Sciences and Large
Lake Observatory, University of Minnesota-Duluth
10km
growth of sediment delta into ocean
Ganges-Brahmaputra Delta
Commonality between solidification and ocean
basin formation
www.nced.umn.edu
2
Melting vs. Shoreline movement
An Ocean Basin
3
Experimental validation of shoreline boundary
condition
3m
4
Experimental validation of shoreline boundary
condition
Flux balance at shoreline
eXperimental EarthScape facility (XES)
Flux base subsidence slope
5
Limit Conditions A Fixed Slope Ocean
q1
h
a
b
similarity solution
s(t)
g 0.5
6
A Further Limit SolutionNo sediment storage in
the fluvial domain
7
A Monte-Carlo (lattice-Boltzmann) Polymer Filling
Algorithm
Dump total flux in gate cell and redistribute
excess over amount requiredfor filling to
neighboring cells in ratios proportional
tocoefficients of the discretization of
8
Simulation of shoreline motion into a variable
depth ocean
with variable
channelization
High K(1) chanalized surface
t50
Low K(0.05) few channels
9
t100
10
t150
11
t200
12
t250
13
t300
14
WHY Build a model
15
Further Work--Include Ocean Level Rise
q1
z(t)
s(t)
s(t)