Showing papers by "Steinar Evje published in 2002"
TL;DR: It is demonstrated that the FVS scheme is able to capture fast-propagating acoustic waves in a monotone way, while it introduces an excessive numerical dissipation at volume fraction contact (steady and moving) discontinuities.
114 citations
TL;DR: In this paper, a modified version of the original relaxation model was introduced by splitting the momentum flux into a mass and pressure part, which yields a more accurate and robust approximation for typical two-phase flow cases.
39 citations
TL;DR: In this paper, the authors present a direct proof of an L 1 error estimate for viscous approximate solutions of the initial value problem for the uniformly parabolic equation ∂tw e +d iv V (x)f (w e ) =∆ A(w e + ew e,e > 0).
Abstract: Relying on recent advances in the theory of entropy solutions for nonlinear (strongly) degenerate parabolic equations, we present a direct proof of anL 1 error estimate for viscous approximate solutions of the initial value problem for ∂tw +d iv V (x)f (w) =∆ A(w), where V = V (x) is a vector field, f = f (u) is a scalar function, and A(·) ≥ 0.T he viscous approximate solutions are weak solutions of the initial value problem for the uniformly parabolic equation ∂tw e +d iv V (x)f (w e ) =∆ A(w e )+ ew e ,e >0. The error estimate is of order √ e.
15 citations