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Numerical ice sheet modeling: Forward and inverse problems
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.ORCID iD: 0000-0001-9171-6714
2019 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Ice sheets have strong influence on the climate system. Numerical simulation provides a mathematical tool to study the ice dynamics in the past and to predict their contribution to climate change in the future. Large scale ice sheets behave as incompressible non-Newtonian fluid. The evolution of ice sheet is governed by the conservation laws of mass, momentum and energy, which is formulated as a system of partial differential equations. Improving the efficiency of numerical ice sheet modeling is always a desirable feature since many of the applications have large domain and aim for long time span. With such a goal, the first part of this thesis focuses on developing efficient and accurate numerical methods for ice sheet simulation.

A large variety of physical processes are involved in ice dynamics, which are described by physical laws with parameters measured from experiments and field work. These parameters are considered as the inputs of the ice sheet simulations. In certain circumstances, some parameters are unavailable or can not be measured directly. Therefore, the second part of this thesis is devoted to reveal these physical parameters by solving inverse problems.

In the first part, improvements of temporal and spatial discretization methods and a sub-grid boundary treatment are purposed. We developed an adaptive time stepping method in Paper I to automatically adjust the time steps based on stability and accuracy criteria. We introduced an anisotropic Radial Basis Function method for the spatial discretization of continental scale ice sheet simulations in Paper II. We designed a sub-grid method for solving grounding line migration problem with Stokes equations in Paper VI.

The second part of the thesis consists of analysis and numerical experiments on inverse problems. In Paper IV and V, we conducted sensitivity analysis and numerical examples of the inversion on time dependent ice sheet simulations. In Paper III, we solved an inverse problem for the thermal conductivity of firn pack at Lomonosovfonna, Svalbard, using the subsurface temperature measurements.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2019. , p. 43
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 1849
Keywords [en]
ice sheet modeling, finite element method, grounding line migration, inverse problems, adjoint method
National Category
Computational Mathematics Geosciences, Multidisciplinary
Research subject
Scientific Computing
Identifiers
URN: urn:nbn:se:uu:diva-392268ISBN: 978-91-513-0738-1 (print)OAI: oai:DiVA.org:uu-392268DiVA, id: diva2:1347615
Public defence
2019-10-18, ITC 2446, Ångströmlaboratoriet, Lägerhyddsvägen 2, Uppsala, 10:15 (English)
Opponent
Supervisors
Funder
Swedish Research Council Formas, 2013-1600, 2017-00665Available from: 2019-09-26 Created: 2019-09-01 Last updated: 2019-10-15
List of papers
1. Accurate and stable time stepping in ice sheet modeling
Open this publication in new window or tab >>Accurate and stable time stepping in ice sheet modeling
2017 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 329, p. 29-47Article in journal (Refereed) Published
National Category
Computational Mathematics
Identifiers
urn:nbn:se:uu:diva-309278 (URN)10.1016/j.jcp.2016.10.060 (DOI)000390511500003 ()
Projects
eSSENCE
Available from: 2016-11-02 Created: 2016-12-02 Last updated: 2019-09-01Bibliographically approved
2. Anisotropic radial basis function methods for continental size ice sheet simulations
Open this publication in new window or tab >>Anisotropic radial basis function methods for continental size ice sheet simulations
2018 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 372, p. 161-177Article in journal (Refereed) Published
National Category
Computational Mathematics
Identifiers
urn:nbn:se:uu:diva-333469 (URN)10.1016/j.jcp.2018.06.020 (DOI)000443284400008 ()
Projects
eSSENCE
Available from: 2018-06-15 Created: 2017-11-14 Last updated: 2019-09-01Bibliographically approved
3. Thermal conductivity of firn at Lomonosovfonna, Svalbard, derived from subsurface temperature measurements
Open this publication in new window or tab >>Thermal conductivity of firn at Lomonosovfonna, Svalbard, derived from subsurface temperature measurements
Show others...
2019 (English)In: The Cryosphere, ISSN 1994-0416, E-ISSN 1994-0424, Vol. 13, p. 1843-1859Article in journal (Refereed) Published
National Category
Physical Geography
Identifiers
urn:nbn:se:uu:diva-334156 (URN)10.5194/tc-13-1843-2019 (DOI)000474653300002 ()
Available from: 2019-07-09 Created: 2017-11-21 Last updated: 2019-09-01Bibliographically approved
4. Parameter sensitivity analysis of dynamic ice sheet models
Open this publication in new window or tab >>Parameter sensitivity analysis of dynamic ice sheet models
2019 (English)In: Computing Research Repository, no 1906.08197Article in journal (Other academic) Submitted
National Category
Computational Mathematics Geosciences, Multidisciplinary
Identifiers
urn:nbn:se:uu:diva-392198 (URN)
Available from: 2019-06-19 Created: 2019-08-30 Last updated: 2019-09-03Bibliographically approved
5. Parameter sensitivity analysis of dynamic ice sheet models: Numerical computations
Open this publication in new window or tab >>Parameter sensitivity analysis of dynamic ice sheet models: Numerical computations
2019 (English)In: The Cryosphere Discussions, ISSN 1994-0432, E-ISSN 1994-0440Article in journal (Other academic) Submitted
National Category
Computational Mathematics Geosciences, Multidisciplinary
Identifiers
urn:nbn:se:uu:diva-392146 (URN)10.5194/tc-2019-151 (DOI)
Projects
eSSENCE
Available from: 2019-08-12 Created: 2019-08-29 Last updated: 2019-09-01Bibliographically approved
6. A full Stokes subgrid model for simulation of grounding line migration in ice sheets using Elmer/ICE(v8.3)
Open this publication in new window or tab >>A full Stokes subgrid model for simulation of grounding line migration in ice sheets using Elmer/ICE(v8.3)
2019 (English)In: Geoscientific Model Development Discussions, ISSN 1991-9611, E-ISSN 1991-962XArticle in journal (Other academic) Submitted
National Category
Computational Mathematics Geosciences, Multidisciplinary
Identifiers
urn:nbn:se:uu:diva-392197 (URN)10.5194/gmd-2019-244 (DOI)
Projects
eSSENCE
Available from: 2019-09-16 Created: 2019-08-30 Last updated: 2019-10-02Bibliographically approved

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