This paper is devoted to the computation of compressible multiphase flows involving phase transition. The compressible model is the system of Euler, without viscosity. For closing this model, an equation of state is required. In our context, the model of phase transition is included in the choice of the equation of state, via an entropy optimization of the mixture equation of state. Our aim is ...

We study the asymptotic behavior of compressible isentropic flow through porous medium when the initial mass is finite. The model system is the compressible Euler equation with frictional damping. As t → ∞, the density is conjectured to obey to the well-known porous medium equation and the momentum is expected to be formulated by Darcy’s law. In this paper, we prove that any L∞ weak entropy sol...

We derive a posteriori estimates for the modeling error caused by the assumption of perfect incompressibility in the incompressible NavierStokes equation: Real fluids are never perfectly incompressible, but always feature at least some low amount of compressibility. Thus, their behavior is described by the compressible Navier-Stokes equation, the pressure being a steep function of the density. ...

We study the asymptotic behavior of a compressible isentropic flow through a porous medium when the initial mass is finite. The model system is the compressible Euler equation with frictional damping. As t → ∞, the density is conjectured to obey the well-known porous medium equation and the momentum is expected to be formulated by Darcy’s law. In this paper, we give a definite answer to this co...

This paper analyzes a compressible gas flow through a microchannel, and reports a complete set of first-order analytical solutions. Thiswork represents an extension of the previouswork ofArkilic on compressibleflows through amicrochannel. First, by comparing themagnitudes of different forces in the compressible gasflow,weobtain proper estimations for the Reynolds and Mach numbers at the channel...

An energetically balanced, implicit integrator for non-hydrostatic vertical atmospheric dynamics on the sphere is presented. The allows exact balance of energy exchanges in space and time motions by preserving skew-symmetry non-canonical Hamiltonian formulation compressible Euler equations. performance accelerated a preconditioning strategy that reduces dimensionality inner linear system. Here ...

The development of flux-vector splitting through the 1970s and 1980s is reviewed. Attention is given to the diffusive nature of flux-vector splitting, which makes it an undesirable technique for approximating the inviscid fluxes in a Navier-Stokes solver. Several proposed improvements, including a brandnew one, are discussed and illustrated by a simple, yet revealing, numerical test case. Final...

The Dirac particle, i.e. the dynamic system SD, described by the free Dirac equation is investigated. Although the Dirac equation is written usually in the relativistically covariant form, the dynamic system SD is not completely relativistic, because its description contains such absolute objects as γ-matrices γk, forming a matrix vector. By means of the proper change of variables the γ-matrice...

Compressive sampling offers a new paradigm for acquiring signals that are compressible with respect to an orthonormal basis. The major algorithmic challenge in compressive sampling is to approximate a compressible signal from noisy samples. This paper describes a new iterative recovery algorithm called CoSaMP that delivers the same guarantees as the best optimization-based approaches. Moreover,...