High Order finite difference methods for the wave equation with T-junction grid interfaces
Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
We investigate higher order SBP-SAT discretizations of the wave equation for T-junction domains. We indicate stability for our discretization for fourth order operators. We construct a differently formulated proof for stability for a previously constructed discretization of the wave equation for interface domains. We construct non-conforming discretizations of both of the above domains, proving stability for the interface domain and indicating it for the T-junction domain. We construct a fourth order modified equation method for time discretization of second order equations, and rudimentarily test it against fourth order Runge Kutta.
Place, publisher, year, edition, pages
2016. , 25 p.
Engineering and Technology
IdentifiersURN: urn:nbn:se:uu:diva-308350OAI: oai:DiVA.org:uu-308350DiVA: diva2:1049469
Master Programme in Computational Science
Mattsson, KenRantakokko, Jarmo