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[PDF] Top 20 A Lagrangian Scheme à la Brenier for the Incompressible Euler Equations

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A Lagrangian Scheme à la Brenier for the Incompressible Euler Equations

A Lagrangian Scheme à la Brenier for the Incompressible Euler Equations

... solvers for op- timal transport problems between probability densities and finitely-supported probability measures [3, 20, 13, ...allowing the recovery of non-deterministic solutions to Euler’s ... Voir le document complet

22

A Lagrangian Scheme à la Brenier for the Incompressible Euler Equations

A Lagrangian Scheme à la Brenier for the Incompressible Euler Equations

... solvers for op- timal transport problems between probability densities and finitely-supported probability measures [ 3 , 20 , 13 , 18 ...allowing the recovery of non-deterministic solutions to Euler’s ... Voir le document complet

23

A MUSCL-TYPE SEGREGATED -EXPLICIT STAGGERED SCHEME FOR THE EULER EQUATIONS

A MUSCL-TYPE SEGREGATED -EXPLICIT STAGGERED SCHEME FOR THE EULER EQUATIONS

... on the material velocity only, this scheme preserves the positivity of the density, the pressure and of the internal energy (in other words, the scheme preserves ... Voir le document complet

41

A robust and stable numerical scheme for a depth-averaged Euler system

A robust and stable numerical scheme for a depth-averaged Euler system

... 7.2 The solitary wave ...water equations model the dynamics of a shallow, rotating layer of homogeneous incompressible fluid and are typically used to describe vertically averaged flows ... Voir le document complet

39

A forward-backward probabilistic algorithm for the incompressible Navier-Stokes equations

A forward-backward probabilistic algorithm for the incompressible Navier-Stokes equations

... the systems of FBSDEs appear as a novel approach [22, 26]. The problem of relating boundary conditions on probabilistic representations presents additional challenges [6, 18, 50, ...51]. The ... Voir le document complet

26

An Asymptotic-Preserving all-speed scheme for the Euler and Navier-Stokes equations

An Asymptotic-Preserving all-speed scheme for the Euler and Navier-Stokes equations

... Conclusion The aim of this paper was to provide an all-speed scheme for the numerical simulation of mixed compressible and incompressible fluid ...flows. The second-order ... Voir le document complet

33

The initial value problem for the Euler equations of incompressible fluids viewed as a concave maximization problem

The initial value problem for the Euler equations of incompressible fluids viewed as a concave maximization problem

... consider the Euler equations of incompressible fluids [2, 7] and attempt to solve the initial value problem with the help of a concave maximization ...shares a ... Voir le document complet

13

Sensitivity analysis for the Euler equations in Lagrangian coordinates

Sensitivity analysis for the Euler equations in Lagrangian coordinates

... 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, ...have a sen- sitivity without ... Voir le document complet

9

Consistent Internal Energy Based Schemes for the Compressible Euler Equations

Consistent Internal Energy Based Schemes for the Compressible Euler Equations

... 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

33

On the global well-posedness for Euler equations with unbounded vorticity

On the global well-posedness for Euler equations with unbounded vorticity

... ∞. The uniqueness part is obtained by performing energy estimate and choosing suitably the parameter ...pattern the velocity belongs to the class of log-Lipschitz functions and this is ... Voir le document complet

30

A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems

A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems

... use a fully Lagrangian form of the gas dynamics equations, that is, the gradient and divergence operators are expressed in the Lagrangian ...compute the Jacobian ... Voir le document complet

50

Relaxation approximation of the Euler equations

Relaxation approximation of the Euler equations

... is a solution to (31) with the initial data U (x) = lim s→+∞ I(s, x) (and I(s, x) is the solution to the ODE ...If the initial data are ill-prepared, that is when T 0 6= τ 0 , it is not ... Voir le document complet

31

Conservative semi-Lagrangian schemes for Vlasov equations

Conservative semi-Lagrangian schemes for Vlasov equations

... on the case where we do not have a constant advection, as is the case for the guiding center ...[22], a 2D interpolation was proposed to approximate this model to ensure ... Voir le document complet

36

Analysis of a multistep Jacobi multigrid method for solving the Euler equations

Analysis of a multistep Jacobi multigrid method for solving the Euler equations

... 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] ... Voir le document complet

35

Low regularity solutions for the two-dimensional ''rigid body + incompressible Euler" system.

Low regularity solutions for the two-dimensional ''rigid body + incompressible Euler" system.

... Despite the fact that we are not considering finite-energy solutions, we have the following ...exists a constant C > 0 (depending only on S 0 , m, J, and β) such that for any smooth ... Voir le document complet

10

An optimized Schwarz algorithm for the compressible Euler equations

An optimized Schwarz algorithm for the compressible Euler equations

... treated for example in the case of the Poisson, advection-diffusion equations [JN00, JNR01], Helmholtz [GMN02], or other simple systems reducible to scalar problems, on conforming and ... Voir le document complet

21

Analytical solutions for the free surface hydrostatic Euler equations

Analytical solutions for the free surface hydrostatic Euler equations

... from the incompressible Navier-Stokes equations, much work has been done in the derivation of relatively simple mathematical models for shallow water flows and long non-linear water ... Voir le document complet

20

A well-balanced scheme for the shallow-water equations with topography

A well-balanced scheme for the shallow-water equations with topography

... Abstract A non-negativity preserving and well-balanced scheme that exactly preserves all the smooth steady states of the shallow water system, including the moving ones, is ...addition, ... Voir le document complet

45

From Vlasov–Poisson and Vlasov–Poisson–Fokker–Planck Systems to Incompressible Euler Equations: the case with finite charge

From Vlasov–Poisson and Vlasov–Poisson–Fokker–Planck Systems to Incompressible Euler Equations: the case with finite charge

... ∞. A case with finite charge, but a different Poisson equation which leads to a compressible hydrodynamic limit, has been considered in [19], again with a modulated ...prove the ... Voir le document complet

40

The Camassa-Holm equation as an incompressible Euler equation: a geometric point of view

The Camassa-Holm equation as an incompressible Euler equation: a geometric point of view

... where the authors have taken an intrinsic point of view on the group of diffeomorphisms as an infinite dimensional weak Riemannian ...Formulating the geodesic equation as an ordinary differential ... Voir le document complet

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