[PDF] Top 20 An entropy preserving MOOD scheme for the Euler equations

... In the next section, we give our main motivations by briefly studying the convergence behavior of the discrete entropy inequalities as stated in [5, ...as the mesh size is small enough. ... Voir le document complet

... 3.1. The three dimension Euler–Lorentz model as a motivation First and foremost, we mention though it is one dimensional in space, our model contains the essential of the numerical ... Voir le document complet

... present an Asymptotic-Preserving ’all-speed’ scheme for the simulation of compressible flows valid at all Mach-numbers ranging from very small to order ...unity. The ... Voir le document complet

... account the anisotropy of the particles distribution function and is well-suited for numerical computations of transition ...Following the work of Levermore [26, 27] (see also [10, 19, 18, ... 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 of this work ... Voir le document complet

... in the sense that the asymptotic regimes can be captured without resolving the small time and spatial ...scales. The efficiency of an AP scheme relies on careful time and space ... Voir le document complet

... ], the non-conservative entropy inequality ( 2 ) can be recast under the following equivalent conservative form: ∂ t (η(W ) + ghZ) + ∂ x (G(W ) + gqZ) ≤ ...(3) Preserving the steady ... Voir le document complet

... In the general case, we developped an implicit, energy preserving scheme which is also centered in ...time. The scheme can be written for any value of N and any function ... Voir le document complet

... of the approximate Riemann solver their associated Godunov type ...recall the definition of robust schemes, entropy preserving schemes and entropy minimum principle preserving ... Voir le document complet

... Abstract The aim of this work is to design an explicit finite volume scheme with high-order MOOD recon- struction for specific systems of conservation laws with stiff source terms which ... Voir le document complet

... solving the compressible Euler equations by an implicit scheme the nonlinear system is usually solved by Newton’s ...conditioned. The necessity of a domain decomposition ... Voir le document complet

... from the equation ( 3.26 ), we recover the expected asymptotic behavior ( ...). The proof is achieved. It is worth noticing that the limit scheme associated to ( ...in the ... Voir le document complet

... consider the semiclassical limit for the nonlinear Schrödinger ...to the hydrodynamical formulation, whose novelty consists in including some asymptotically vanishing ...that the system ... Voir le document complet

... consider an Euler-Maruyama type approximation method for a stochastic differential equation (SDE) with a non-regular drift and regular diffusion ...coefficient. The method regu- larizes ... Voir le document complet

... steps. The resulting schemes offer many interesting properties: both the density and internal energy positivity are preserved, unconditionally for the pres- sure correction scheme and ... Voir le document complet

... to the coarsest mesh and then between two successive meshes, the time step is divided by four since the mesh size is divided by two, so that the error due to the implicit ... Voir le document complet

... that the solution w of ( ...exhibited an estimation of the L ∞ -convergence rate in O(t −1/2 ...also the com- panion papers [ 30 , 31 ...general entropy dissipative hyperbolic systems ... Voir le document complet

... differential equations, the approximation of Ef (X T ) is of ...use an Euler scheme and to study the speed of ...of the pioneering work is the paper of ... Voir le document complet

... The scheme of the proof is similar to that of Lemma ...then the stream function u would become ...streamline an arc γ([α, β]) contains either two left or two right or two double arcs ... Voir le document complet

... discussion The numerical results show that the modified sensitivity system here proposed is well defined and it allows us to achieve the main goal of this work, ...However, the proposed ... Voir le document complet