A Godunov-type Scheme for the Drift Flux Model with Variable Cross Section

On the Godunov Scheme Applied to the Variable Cross-Section Linear Wave Equation

We investigate the accuracy of the Godunov scheme applied to the variable cross-section acoustic equations. Contrarily to the constant cross-section case, the accuracy issue of this scheme in the low Mach number regime appears even in the one-dimensional case; on the other hand, we show that it is possible to construct another Godunov type scheme which is accurate in the low Mach number regime.

Ahybrid Primitive-conservativeupwind Scheme for the Drift Flux Model

Analytical Solution for Free Vibration of a Variable Cross-Section Nonlocal Nanobeam

In this article, small scale effects on free vibration analysis of non-uniform nanobeams is discussed. Small scale effects are modelled after Eringen’s nonlocal elasticity theory while the non-uniformity is presented by exponentially varying width among the beams length with constant thickness. Analytical solution is achieved for free vibration with different boundary conditions. It is shown th...

An Adaptive Order Godunov Type Central Scheme

1 Department of Mathematics, Institute for Physical Science & Technology and Center for Scientific Computation And Mathematical Modeling (CSCAMM), University of Maryland College Park, MD 20742-3289 [email protected] 2 Department of Mathematics University of California Davis, CA 95616 [email protected] “Hyperbolic Problems: Theory, Numerics, Applications”, Proceedings of the 9th Inter...

The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions

We consider hyperbolic scalar conservation laws with discontinuous flux function of the type ∂tu+ ∂xf(x, u) = 0 with f(x, u) = fL(u)1 R−(x) + fR(u)1 R+(x). Here fL,R are compatible bell-shaped flux functions as appear in numerous applications. In [1] and [2], it was shown that several notions of solution make sense, according to a choice of the so-called (A,B)-connection. In this note, we remar...