Newton’s Method for a Finite Element Approach to the Incompressible Navier-Stokes Equations
Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
The cG(1)cG(1)-method is a finite element method for solving the incompressible Navier-Stokes equations, using a splitting scheme and fixed-point iteration to resolve the nonlinear term u · ∇u. In this thesis, Newton’s method has been implemented on a formulation of the cG(1)cG(1)-method without splitting, resulting in equal results for the velocity and pressure computation, but higher computation times and slower convergence.
Place, publisher, year, edition, pages
IdentifiersURN: urn:nbn:se:umu:diva-122217OAI: oai:DiVA.org:umu-122217DiVA: diva2:937664
Larson, Mats G.