4 papers
A two-component nonlinear variational wave system
Peder Aursand, Anders Nordli
We derive a novel two-component generalization of the nonlinear variational wave equation as a model for the director field of a nematic liquid crystal with a variable order parame…
A combined fluid-dynamic and thermodynamic model to predict the onset of rapid phase transitions in LNG spills
Karl Yngve Lervåg, Hans L. Skarsvåg, Eskil Aursand +8
Transport of liquefied natural gas (LNG) by ship occurs globally on a massive scale. The large temperature difference between LNG and water means LNG will boil violently if spilled…
Large time step TVD schemes for hyperbolic conservation laws
Sofia Lindqvist, Peder Aursand, Tore Flåtten +1
Large time step explicit schemes in the form originally proposed by LeVeque have seen a significant revival in recent years. In this paper we consider a general framework of local…
High-order energy stable numerical schemes for a nonlinear variational wave equation modeling nematic liquid crystals in two dimensions
U. Koley, P. Aursand
We consider a nonlinear variational wave equation that models the dynamics of the director field in nematic liquid crystals with high molecular rotational inertia. Being derived fr…