[PDF] Top 20 Asymptotic-preserving well-balanced scheme for the electronic M1 model in the diffusive limit: particular cases.

... properties. For example, the classical HLL scheme [43] ensures the positivity of the first angular moment and the flux limitation ...this scheme fails in recovering ... Voir le document complet

... of the scheme is based on an approximate Riemann solver where the intermediate states are chosen consistent with the integral form of the approximate Riemann ...enable the ... Voir le document complet

... to the derivation of an asymptotic-preserving scheme for the elec- tronic M1 model in the diffusive ...regime. The case without electric ... Voir le document complet

... recognize the initial model ( ...ited the rate by adopting the well known relative entropy ...compare the difference (in a sense to be prescribed) between two so- ... Voir le document complet

... 2, the scheme must exactly capture the full definition of the steady states, namely ...54]. In the next section, we derive an approximate Riemann solver to correctly mimic ... Voir le document complet

... organization In the present work, we are concerned with the derivation of a numerical scheme to approximate the weak solutions of ( ...which, in addition, accurately captures ... Voir le document complet

... of the limit problem P 0 . Physical problems arising in nature are complex and contain several time and space scales, which are difficult to capture in their globality with standard ...forces ... Voir le document complet

... rigorously the convergence to equilibrium, we need the uniform lower bound (9) on N and P which holds under the restrictive assumption C = ...0. In the last section, we perform some ... Voir le document complet

... on the numerical approximation of the Shallow Water Equations (SWE) using a Lagrange-Projection type ...context the recent implicit- explicit schemes developed in [16], [18] in ... Voir le document complet

... 4.4. The modified Jin-Levermore scheme This new scheme is inspired by the scheme proposed by Jin and Levermore for the telegraph problem in [24] (which is based on ... Voir le document complet

... on the intermediate state of the dam-break problem. The left panel of Figure 8 shows that, for both values of C, the approximate shock waves are located at a consistent position and ... Voir le document complet

... preserved in time, we do not notice any spurious oscillation (see Figure 1 ...reflection-transmission in a stented artery We now observe the reflexion and transmission of a pulse through a sudden ... Voir le document complet

... In the meanwhile, the set of shallow water equations (though younger, as the equations have been written by Adh´ emar Barr´ e de Saint-Venant in 1871 [ 18 ]) have received a large ... Voir le document complet

... t for several values of ε These results give us hints of what should be the asymptotic behavior of our solutions, in particular when we loose ...regularity. The convergence seems ... Voir le document complet

... ] for theoretical aspects and [ 1 , 4 , 17 , 20 ] for some numerical studies) and appears in several physical problems as, for instance, in non-newtonian fluids [ 9 ...]. The aim ... Voir le document complet

... finite. The local result implies more : that the norm of gradient may blow up only on a closed and negligeable set, of 4/5-capicity ...zero..... In the next section the diffusive ... Voir le document complet

... Abstract The present work concerns the derivation of entropy stability properties to be satisfied by high-order accurate finite volume ...approximating the weak solutions of hyperbolic systems of ... Voir le document complet

... numerical scheme that exactly preserves and captures the moving steady states of the shallow water equations with topography or Manning ...friction. The high-order accuracy relies on a ... Voir le document complet

... of the fluid velocity. The design of costless numerical scheme for this equation is an interesting ...ones, well- balanced schemes are a possible solution. As mention in ... Voir le document complet

... be the use of the micro-macro ...discretize the micro part so that in the limit regime, the numerical cost is reduced since a few number of particles will be nec- essary ... Voir le document complet