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20022025
most citedUnifying Practical Uncertainty Representations: I. Generalized P-Boxes

130 citations

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18 papers · 1 filter

math.NA2022★ 4 cited

Convergence of the fully discrete incremental projection scheme for incompressible flows

Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché +1

The present paper addresses the convergence of a first order in time incremental projection scheme for the time-dependent incompressible Navier-Stokes equations to a weak solution,…

math.NA2020

A staggered pressure correction numerical scheme to compute a travelling reactive interface in a partially premixed mixture

D Grapsas, Raphaèle Herbin, J. -C Latché +1

We address in this paper a model for the simulation of turbulent deflagrations in industrial applications. The flow is governed by the Euler equations for a variable composition mi…

math.NA2020

A Class of Collocated Finite Volume Schemes for Incompressible Flow Problems

R. Eymard, R. Herbin, J. -C Latché +1

In this paper, we present a class of finite volume schemes for incompressible flow problems. The unknowns are collocated at the center of the control volumes, and the stability of…

math.NA2019★ 1 cited

Conservativity and Weak Consistency of a Class of Staggered Finite Volume Methods for the Euler Equations

R. Herbin, J. -C. Latché, S. Minjeaud +1

We address a class of schemes for the Euler equations with the following features: the space discretization is staggered, possible upwinding is performed with respect to the materi…

math.NA2019

Consistent Internal Energy Based Schemes for the Compressible Euler Equations

R. Herbin, T. Gallouët, J. -C Latché +1

Numerical schemes for the solution of the Euler equations have recently been developed, which involve the discretisation of the internal energy equation, with corrective terms to e…

math.NA2019★ 2 cited

A decoupled staggered scheme for the shallow water equations

Raphaèle Herbin, Jean-Claude Latché, Youssouf Nasseri +1

We present a first order scheme based on a staggered grid for the shallow water equations with topography in two space dimensions, which enjoys several properties: positivity of th…