Coupled High-Order Finite Difference and Unstructured Finite Volume Methods for Earthquake Rupture Dynamics in Complex Geometries
Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
The linear elastodynamic two-dimensional anti-plane stress problem, where deformations occur in only one direction is considered for one sided non-planar faults. Fault dynamics are modeled using purely velocity dependent friction laws, and applied on boundaries with complex geometry. Summation-by-parts operators and energy estimates are used to couple a high-order finite difference method with an unstructured finite volume method. The unstructured finite volume method is used near the fault and the high-order finite difference method further away from the fault where no complex geometry is present. Boundary conditions are imposed weakly on characteristic form using the simultaneous approximation term technique, allowing explicit time integration to be used. Numerical computations are performed to verify the accuracy and time stability, of the method.
Place, publisher, year, edition, pages
2011. , 28 p.
UPTEC F, ISSN 1401-5757 ; 11040
SBP summation-by-parts SAT simultaneous-approximation-term unstructured finite volume methods high order finite difference methods interface coupling earthquake rupture dynamics complex geometries
IdentifiersURN: urn:nbn:se:uu:diva-155471OAI: oai:DiVA.org:uu-155471DiVA: diva2:426184
Master Programme in Engineering Physics
Lötstedt, PerNyberg, Tomas