High order accurate weighted essentially nonoscillatory (WENO) schemes are relatively new
but have gained rapid popularity in numerical solutions of hyperbolic partial differential …

We describe a novel interface-sharpening approach for efficient numerical resolution of a
compressible homogeneous two-phase flow governed by a quasi-conservative five …

In this paper, we generalize a technique of anti-diffusive flux corrections, recently introduced
by Després and Lagoutière [Journal of Scientific Computing 16 (2001) 479–524] for first …

We propose a discretization method of a five-equation model with isobaric closure for the
simulation of interfaces between compressible fluids. This numerical solver is a Lagrange …

Although conventional total-variation-diminishing schemes can capture discontinuities with
essentially non-oscillatory properties and are nominal of second-order accuracy in smooth …

This paper gives a comparative study of TVD‐limiters for standard explicit Finite Volume
schemes. In contrast to older studies, it includes also unsymmetrical limiter functions that …

We propose to solve polynomial hyperbolic partial differential equations (PDEs) with convex
optimization. This approach is based on a very weak notion of solution of the nonlinear …

The non-polynomial THINC (tangent of hyperbola for interface capturing) scheme has been
reported to show both numerical simplicity and high fidelity for resolving contact interfaces …

In this work, we propose asymptotic preserving numerical schemes for the bubbling and
flowing regimes of particles immersed in a fluid treated by two-phase flow models. The …

This work addresses a theory of convergence for finite volume methods applied to linear
equations. A non-consistent model problem posed in an abstract Banach space is proved to …