Isentropic Euler system
Construction of a low Mach finite volume scheme for the isentropic Euler system with porosity
... 3 Godunov scheme for the linear wave equation with porosity and its kernels In [16, 15], we explained the satisfactory behavior of the Godunov scheme at low Mach number on triangular meshes and its wrong behavior on ...
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STUDY OF A NEW ASYMPTOTIC PRESERVING SCHEME FOR THE EULER SYSTEM IN THE LOW MACH NUMBER LIMIT
... 5. The full Cartesian discretization for the non linear two-dimensional isentropic Euler system. In this Section, we focus on the space discretization of the two-dimensional system (2.1) ...
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Second order Implicit-Explicit Total Variation Diminishing schemes for the Euler system in the low Mach regime
... c Institut de Math´ematiques de Toulouse (IMT), Universit´e P. Sabatier, Toulouse Abstract In this work, we consider the development of implicit-explicit total variation diminishing (TVD) methods (also termed SSP: strong ...
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Large time behavior and asymptotic stability of the two-dimensional Euler and linearized Euler equations
... the Euler equations, one of the oldest equations of mathematical physics ...by Euler, these equations still propose big challenges both to mathematician and physicists ...two-dimensional Euler ...
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Dynamics of biped robots during a complete gait cycle: Euler-Lagrange vs. Newton-Euler formulations
... the dynamics O (𝑛) algorithms. Fu et al. [Fu87] have shown that the combined identification and control algorithms can be computed in O (𝑛 3 ) time despite using the recursive (N-E) formulation. One of the efficient ...
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Godunov-type schemes for hyperbolic systems with parameter dependent source. The case of Euler system with friction
... the Euler equation with gravity in the case without friction (α = 0), together with relax- ation schemes (note that the relation between approximate Riemann solvers and relaxation schemes is well established in ...
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On the controllability of the non-isentropic 1-D Euler equation
... of System ( ...the system cannot reach a constant state in this ...actual isentropic Euler equation, and this was used by the author in [ 21 ] in order to establish a result on the ...
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Euler-Euler large eddy simulations of the gas–liquid flow in a cylindrical bubble column
... better than the Smagorinsky model with 𝐶 𝑆 = 0.08 in the central plume and vortical flow regions. The Smagorinsky model improves the resolved axial liquid velocity profile in the near-wall region. The effect of inlet ...
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An explicit MUSCL scheme on staggered grids with kinetic-like fluxes for the barotropic and full Euler system
... The corresponding Riemann solutions develop two rarefaction waves, two shocks and a rarefaction wave followed by a shock wave respectively. The results obtained at time T =0.5 using the first order scheme and the ...
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Hedgehog theory via Euler calculus
... 1 A 1 B = 1 A+B , where denotes the convolution product with respect to the Euler characteristic and A + B the usual Minkowski sum of A and B. After introducing appropriate de…nitions in the framework of ‘analytic ...
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EULER-EULER MODELLING OF THE INTERACTION OF A GAS-PARTICLE MIXTURE WITH A DETACHED SHOCK
... Key words: Multiphase flows, Gas-particle mixtures, Shock Disturbance. Abstract. This work deals with the interaction of a mist of solid particles and a stationary detached shock wave. Experiments over a 3 inches sphere ...
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From Gross-Pitaevskii equation to Euler Korteweg system, existence of global strong solutions with small irrotational initial data
... Abstract In this paper we prove the global well-posedness for small data for the Euler Korteweg system in dimension N ≥ 3, also called compressible Euler system with quantum pressure. It is ...
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New reflection formulas for Euler sums
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou ...
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Effect of unresolved structures on the Euler-Euler simulation of 3D periodic circulating fluidized of binary mixture
... To cite this version : Özel, Ali and Fede, Pascal and Simonin, Olivier. Effect of unresolved structures on the Euler-Euler simulation of 3D periodic circulating fluidized of binary mixture. (2013) In: 8th ...
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CFD modelling of two-phase stirred bioreaction systems by segregated solution of the Euler–Euler model
... a b s t r a c t An advanced study of a bioreactor system involving a Navier–Stokes based model has been accomplished. The model allows a more realistic impeller induced flow image to be combined with the Monod ...
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Relaxation approximation of the Euler equations
... barotropic Euler equations and define the relaxation ...relaxation system converge towards smooth solutions of the barotropic Euler equations as the relaxation coefficient tends to ...relaxation ...
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Une histoire des séries infinies (I) . D'Oresme à Euler
... 4.7 Les premières méthodes de sommation des séries divergentes Dans son article de 1760, De seriebus divergentibus, Euler est aussi le premier mathé- maticien à avoir mis sérieusement en œuvre une théorie ...
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Méthode de couplage Euler-Lagrange pour la dynamique rapide
... Couplage Euler-Lagrange, Euler bifluide, Contact-glissement, Dynamique rapide 1 Introduction Dans les codes de dynamique rapide, deux types de schémas sont souvent proposés : -les schémas lagrangiens, dans ...
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Euler Sums and Contour Integral Representations
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...
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From Gross-Pitaevskii equation to Euler Korteweg system, existence of global strong solutions with small irrotational initial data
... to H s+1 (R N ) × H s (R N ) with s > N 2 + 1. To do this they obtain energy inequalities using gauge transforms. The lack of global dispersive estimates does not allow to obtain global solutions. For general ...
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