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The aim of this article is a qualitative analysis of two modern finite volume (FVM) schemes. First one is the so called Modified Causon’s scheme, which is based on the classical MacCormack FVM scheme in total variation diminishing (TVD) form, but is simplified in such a way that the demands on computational power are much smaller without loss of accuracy. Second one is implicit WLSQR (Weighted Least Square Reconstruction) scheme combined with various types of numerical fluxes (AUSMPW+ and HLLC)....
We study the homogenization of the compressible Navier–Stokes system in a periodic porous medium (of period ) with Dirichlet boundary conditions. At the limit, we recover different systems depending on the scaling we take. In particular, we rigorously derive the so-called “porous medium equation”.
We study the homogenization of the compressible Navier–Stokes
system in a periodic porous
medium (of period ε) with Dirichlet boundary conditions.
At the limit, we recover different systems
depending on the scaling we take. In particular, we
rigorously derive the so-called “porous medium equation”.
In this paper we present a methodology for constructing accurate and efficient hybrid central-upwind (HCU) type schemes for the numerical resolution of a two-fluid model commonly used by the nuclear and petroleum industry. Particularly, we propose a method which does not make use of any information about the eigenstructure of the jacobian matrix of the model. The two-fluid model possesses a highly nonlinear pressure law. From the mass conservation equations we develop an evolution equation which...
In this paper we present a methodology for constructing accurate
and efficient hybrid central-upwind (HCU) type schemes for
the numerical resolution of a two-fluid model commonly used by the
nuclear and petroleum industry. Particularly, we propose a method
which does not make use of any information about the
eigenstructure of the Jacobian matrix of the model.
The two-fluid model possesses a highly nonlinear pressure law.
From the mass conservation equations we develop an evolution
equation which...
In this work we describe an efficient model for the simulation of a
two-phase flow made of a gas and a granular solid. The starting point is the two-velocity
two-pressure model of Baer and Nunziato
[Int. J. Multiph. Flow16 (1986) 861–889].
The model is supplemented by
a relaxation source term in order
to take into account the pressure equilibrium between the two phases and
the granular stress in the solid phase. We show that the relaxation
process can be made thermodynamically coherent with an...
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