A second order anti-diffusive Lagrange-remap scheme for two-component flows

A low diffusive Lagrange-remap scheme for the simulation of violent air-water free-surface flows

In 2002, Després and Lagoutière [Després and Lagoutière (2002)] proposed a low-diffusive advection scheme for pure transport equation problems, which is particularly accurate for step-shaped solutions, and thus suited for interface tracking procedure by a color function. This has been extended by Kokh and Lagoutière [Kokh and Lagoutière (2010)] in the context of compressible multifluid flows us...

An Anti-diffusive Lagrange-remap Scheme for Multi-material Compressible Flows with an Arbitrary Number of Components

We propose a method dedicated to the simulation of interface flows involving an arbitrary number m of compressible components. Our task is two-fold: we first introduce a m-component flow model that generalizes the two-material five-equation model of [2,3]. Then, we present a discretization strategy by means of a Lagrange-Remap [8,10] approach following the lines of [5,7,12]. The projection step...

Second-order scheme for quadrature-based velocity high order moment methods for disperse two-phase flows

A simple second order cartesian scheme for compressible Euler flows

We present a finite-volume scheme for compressible Euler flows where the grid is cartesian and it does not fit to the body. The scheme, based on the definition of an ad hoc Riemann problem at solid boundaries, is simple to implement and it is formally second order accurate. Results show that pressure is locally and globally second accurate, whereas the accuracy of other variables is between 1 a...

A Simple Second Order Cartesian Scheme for Compressible Flows

A simple second order scheme for compressible inviscid flows on cartesian meshes is presented. An appropriate Rieman solver is used to impose the impermeability condition. The level set function defines the immersed body and provides some useful geometrical data to increase the scheme accuracy. A modification of the convective fluxes computation for the cells near the solid ensures the boundary...